EXERCISE-1C
Question 1
Q. 1. The number of persons who visited the holy shrine of Mata Vaishno Devi during last two consecutive years was 13789509 and 12976498 respectively. How many persons visited the shrine during these two years?
Ans. Number of persons in the first year $=13789509$
Number of persons in the second year $=12976498$
Total number of persons in the two years $=13789509+12976498$
$=26766007$
Working :
$\begin{array}{r}13789509 \\+12976498 \\\hline 26766007 \\\hline\end{array}$
Question 2
Ans.
Number of sugar bags in the first factory $=24809565$
Number of sugar bags in the second factory $=18738576$
Number of sugar bags in the third factory $=9564568$
Total number of sugar bags in the three factories
$\begin{aligned}
& =24809565+18738576+9564568 \\
& =53112709 \text { bags }
\end{aligned}$
Working :
$\begin{array}{r}
24809565 \\
+\quad 18738576 \\
+\quad 9564568 \\
\hline 53112709 \\
\hline
\end{array}$
Question 3
Q.3. A number exceeds 37684955 by 3615045 . What is that number ?
Ans. The given number $=37684955$
The number which exceeds the given number by 3615045 will be $=37684955+3615045$
$\begin{array}{r}
=41300000 \\
\text { Working : } \\
37684955 \\
+\quad 3615045 \\
\hline 41300000 \\
\hline
\end{array}$
Question 4
Q. 4. There were three candidates in an election. They received 687905 votes, 495086 votes and 93756 votes respectively. The number of invalid votes was 13849. If $\mathbf{2 5 4 6 7}$ persons did not vote, find how many votes were registered.
Number of votes received by the second candidate $=495086$
Number of votes received by the third candidate $=93756$
Number of invalid votes $=13849$ Number of persons who did not vote
$=25467$
$\therefore$ Total number of registered votes
$\begin{aligned}
& =687905+495086+93756+13849+25467 \\
& =1316063
\end{aligned}$
Working :
$\begin{array}{r}687905 \\+495086 \\+93756 \\+13849 \\+25467 \\\hline 1316063 \\\hline\end{array}$
Question 5
Ans.
Number of people who got primary education $=1623546$
Number of people who got secondary education $=9768678$
Number of people who got higher education $=6837954$
Number of illiterate people $=2684536$
Number of children below the age of admission $=698781$
$\therefore$ Total population of the state
$\begin{aligned}
& =1623546+9768678+6837954+2684536+698781 \\
& =21613495
\end{aligned}$
Question 6
Q.6. In a particular year a company produced 8765435 bicycles. Next year, the number of bicycles produced was 1378689 more than those produced in the preceding year.
How many bicycles were produced during second year ?
How many bicycles were produced during these two years?
Ans. In the first year, number of cycles produced $=8765435$
In the second year, number of cycles produced $=8765435+1378689$
$=10144124$
The number of bicycles produced in the two years $=8765435+10144124$
$=18909559$\
Working :
$\begin{array}{r}
8765435 \\
+1378689 \\
\hline 10144124 \\
+8765435 \\
\hline 18909559
\end{array}$
Question 7
increased by Rs. 6709570. What was the total sale receipt of the company during these two years ?
Ans.
Sale receipt during first year
$=\text { Rs. } 20956480$
$\therefore$ Sale receipt during the second year
$\begin{aligned}
& =\text { Rs. } 20956480+\text { Rs. } 6709570 \\
& =\text { Rs. } 27666050
\end{aligned}$
Total sale receipt during the two years
$\begin{aligned}
& =\text { Rs. } 20956480+\text { Rs. } 27666050 \\
& =\text { Rs. } 48622530
\end{aligned}$
Working :
$\begin{array}{r}
20956480 \\
+\quad 6709570 \\
\hline 27666050 \\
+20956480 \\
\hline 48622530 \\
\hline
\end{array}$
Question 8
Ans. Total population of a city $=28756304$
Number of males $=16987059$
$\begin{aligned}
& \therefore \text { Number of females } \\
& =28756304-16987059 \\
& =11769245
\end{aligned}$
Working :
$\begin{array}{r}
28756304 \\
-16987059 \\
\hline 11769245 \\
\hline
\end{array}$
Question 9
Q.9. By how much is $\mathbf{1 3 2 4 6 5 1 0}$ larger than $\mathbf{4 6 5 8 6 4 2}$ ?
Ans. The number 13246510 is larger than 4658642
$\begin{aligned}
& =13246510-4658642 \\
& =8587868
\end{aligned}$
Working :
$\begin{array}{r}
13246510 \\
-4658642 \\
\hline 8587868 \\
\hline
\end{array}$
Question 10
Ans. 5643879 is smaller than one crore
$\begin{aligned}
& =10000000-5643879 \\
& =4356121
\end{aligned}$
Working :
$\begin{array}{r}
10000000 \\
-5643879 \\
\hline 4356121 \\
\hline
\end{array}$
Question 11
Ans.
To get the required number, we should subtract 2635967 from 11010101
$\begin{aligned}
& =11010101-2635967 \\
& =8374134
\end{aligned}$
Working :
$\begin{array}{r}11010101 \\-2635967 \\\hline 8374134 \\\hline\end{array}$
Question 12
Q.12. The sum of two numbers is 10750308 . If one of them is 8967519 , what is the other number?
Ans.
$\begin{aligned}
& \text { Sum of two numbers }=10750308 \\
& \text { First number }=8967519 \\
& \therefore \text { Second number }=10750308-8967519 \\
& =1782789
\end{aligned}$
Working :
$\begin{array}{r}
10750308 \\
-8967519 \\
\hline 1782789 \\
\hline
\end{array}$
Question 13
Q. 13. A man had Rs. 20000000 with him. He spent Rs. 13607085 on buying a school building. How much money is left with him?
Ans. Total money, a man had = Rs 20000000
Amount spent on buying a school building
$\text { = Rs. } 13607085$
Amount left with him
$\begin{aligned}
& \text { = Rs. } 20000000 \text { - Rs. } 13607085 \\
& \text { =Rs. } 6392915 \\
& \text { Working : } \\
& \begin{array}{r}
20000000 \\
-13607085 \\
\hline 6392915 \\
\hline
\end{array}
\end{aligned}$
Question 14
Q.14. A society needed Rs. 18536000 to buy a property It collected Rs. 7253840 as membership fee, took a loan of Rs. 5675450 from a bank and collected Rs. 2937680 as donation. How much is the society still short of ?
Ans.
The total requirement of a society $=$ Rs.
18536000
Amount of fee collection = Rs. 7253840
Amount of loan taken $=$ Rs. 5675450
Amount of donation $=$ Rs. 2937680
Total amount collected
$\begin{aligned}
& =\text { Rs. } 7253840+\text { Rs. } 5675450 \\
& + \text { Rs. } 2937680 \\
& =\text { Rs. } 15866970
\end{aligned}$
Short amount
$\begin{aligned}
& =\text { Rs. } 18536000-\text { Rs. } 15866970 \\
& =\text { Rs. } 2669030
\end{aligned}$
Working :
$\begin{array}{r}
7253840 \\
+5675450 \\
+2937680 \\
\hline 15866970 \\
\hline 18536000 \\
-15866970 \\
\hline 2669030 \\
\hline
\end{array}$
Question 15
Q.15. A man had Rs. 10672540 with him. He gave Rs. 4836980 to his wife, Rs.
3964790 to his son and the rest to his daughter. How much money was received by the daughter?
Ans. Total amount a man had = Rs. 10672540
Amount given to his wife $=$ Rs. 4836980
Amount given to his son $=$ Rs 3964790
Total amount given to wife and son
$\begin{aligned}
& =\text { Rs. } 4836980+\text { Rs } 3964790 \\
& =\text { Rs. } 8801770
\end{aligned}$
Working :
$\begin{array}{r}
4836980 \\
+3964790 \\
\hline 8801770 \\
\hline
\end{array}$
Balance amount given to his daughter
$\begin{aligned}
& =\text { Rs. } 10672540-\text { Rs. } 8801770 \\
& =\text { Rs. } 1870770
\end{aligned}$
Working :
$\begin{array}{r}
10672540 \\
-8801770 \\
\hline 1870770 \\
\hline
\end{array}$
Question 16
Q.16. The cost of a chair is Rs. 1485 . How much will 469 chairs cost ?
Ans. Cost of one chair = Rs. 1485
$\begin{aligned}
& \therefore \text { Cost of } 469 \text { chairs = Rs. } 1485 \times 469 \\
& =\text { Rs. } 696465
\end{aligned}$
$\begin{array}{r}
\text { Working : } \\
1485 \\
\times 469 \\
\hline 13365 \\
8910 \times \\
5940 \times \times \\
\hline 696465 \\
\hline
\end{array}$
Question 17
Q.17. How much money was collected from 1786 students of a school for a charity show if each student contributes Rs 625 ?
Sol. Collection from one student $=$ Rs. 625
$\therefore$ Collection from 1786 students
$=$ Rs. $1786 \times 625$
$=$ Rs. 1116250
Question 18
Q.18. A factory produces 6985 screws per day. How many screws will it produce in 358 days?
Ans.
Number of screws produced in one day
$\begin{aligned}
& =6985 \\
& \therefore \text { Number of screws produced in } 358 \text { days } \\
& =6985 \times 358=2500630
\end{aligned}$
Working :
$\begin{array}{r}
6985 \\
\times 358 \\
\hline 55880 \\
34925 \times \\
20955 \times \times \\
\hline 2500630 \\
\hline
\end{array}$
Question 19
Q.19. Mr. Bhaskar saves Rs. 8756 every month. How much money will he save in 13
years?
Ans. Number of months in one year $=12$
$\therefore$ Number of months in 13 years
$=12 \times 13=156 \text { months }$
Saving in one month $=$ Rs. 8756
$\therefore$ Saving in 156 months
$=\text { Rs. } 8756 \times 156=\text { Rs. } 1365936$
$\begin{aligned}
&\text { Working : }\\
&\begin{array}{r}
8756 \\
\times 156 \\
\hline 52536 \\
43780 \times \\
8756 \times \times \\
\hline 1365936 \\
\hline
\end{array}
\end{aligned}$
Question 20
Q.20. A scooter costs Rs. 36725 . How much will 487 scooters cost?
Ans. Cost of 1 scooter = Rs. 36725
$\begin{aligned}
& \therefore \text { Cost of } 487 \text { scooters } \\
& =\text { Rs. } 36725 \times 487=\text { Rs. } 17885075
\end{aligned}$
$\begin{aligned}
&\text { Working : }\\
&\begin{array}{r}
36725 \\
\times 487 \\
\hline 257075 \\
293800 \times \\
146900 \times \times \\
\hline 17885075 \\
\hline
\end{array}
\end{aligned}$
Question 21
Q. 21. An aeroplane covers 1485 km in 1 hour. How much distance will it cover in 72 hours?
Ans.
Distance covered in 1 hour $=1485 \mathrm{~km}$
$\begin{array}{r}\text { Working : } \\ 1485 \\ \times 72 \\ \hline 2970 \\ 10395 \times \\ \hline 106920 \\ \hline\end{array}$
Question 22
Q.22. The product of two numbers is 13421408 .
If one of the numbers is 364 , find the other.
Ans. Product of two numbers = 13421408
First number $=364$
$\begin{aligned}
& \therefore \text { Second number }=13421408 / 364 \\
& =36872
\end{aligned}$
Working :
<to be added>
Question 23
Q.23. If 36 flats cost Rs. 68251500 , what is
the cost of each flat ?
Ans. Cost of 36 flats = Rs. 68251500
$\therefore$ Cost of one flat
$=$ Rs. 68251500/36
= Rs. 1895875
Working :
<to be added>
Question 24
Q.24. The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is $14 \mathbf{~ k g ~} 480 \mathrm{~g}$. How much is the mass of the gas contained in it ?
Ans. Mass of cylinder with gas $=30 \mathrm{~kg} 250 \mathrm{~g}$ and mass of empty cylinder
$\begin{aligned}
& =14 \mathrm{~kg} 480 \mathrm{~g} \\
& \therefore \text { Mass of gas }=30 \mathrm{~kg}, 250 \mathrm{~g}-14 \mathrm{~kg}, 480 \mathrm{~g} \\
& =15 \mathrm{~kg}, 770 \mathrm{~g}
\end{aligned}$
Working:
<to be added>
Question 25
Q.25. From a cloth 5 m long, a piece of length 2 m 85 cm is cut off. What is the length of the remaining piece?
Ans. Total length of cloth $=5 \mathrm{~m}$
Length of piece cut off $=2 \mathrm{~m} 85 \mathrm{~cm}$
$\therefore$ Length of remaining piece of cloth
$\begin{aligned}
& =5 \mathrm{~m}-2 \mathrm{~m} 85 \mathrm{~cm} \\
& =2 \mathrm{~m} 15 \mathrm{~cm}
\end{aligned}$
Working :
$\begin{array}{r}
5 \mathrm{~m} 00 \mathrm{~cm} \\
-2 \mathrm{~m} 85 \mathrm{~cm} \\
\hline 2 \mathrm{~m} \mathrm{1} 5 \mathrm{~cm} \\
\hline
\end{array}$
Question 26
Q.26. In order to make a shirt, a length of $2 \mathrm{~m} \mathbf{7 5} \mathrm{~cm}$ of cloth is needed. How much length of the cloth will be required for 16 such shirts?
Ans.
Cloth required for 1 shirt $=2 \mathrm{~m} 75 \mathrm{~cm}$
$\therefore$ Cloth required for 16 shirts
$\begin{aligned}
& =2 \mathrm{~m} 75 \mathrm{~cm} \times 16 \\
& =44 \mathrm{~m}
\end{aligned}$
Question 27
Q. 27. For making 8 trousers of the same size, $14 \mathrm{~m} \mathbf{8 0} \mathrm{~cm}$ of cloth is needed. How much cloth will be required for each such trouser?
Ans. Total length of cloth for 8 trousers
$=14 \mathrm{~m} 80 \mathrm{~cm}$
Length of cloth for 1 trouser
$\begin{aligned}
& =14 \mathrm{~m} 80 \mathrm{~cm} / 8 \\
& =1 \mathrm{~m} 85 \mathrm{~cm}
\end{aligned}$
Working :
<to be added>
Question 28
Q.28. The mass of a brick is 2 kg 750 g . What is the total mass of 14 such bricks ?
Ans.
Mass of 1 brick $=2 \mathrm{~kg} 750 \mathrm{~g}$
$\therefore$ Total mass of 14 bricks
$=2 \mathrm{~kg} 750 \mathrm{~g} \times 14$
$=38 \mathrm{~kg} 500 \mathrm{~g}$
Working:
$\begin{array}{r}2 \mathrm{~kg} 750 \mathrm{~g} \\ \times \quad 14 \\ \hline 38 \mathrm{~kg} 500 \mathrm{~g} \\ \hline\end{array}$
Question 12
Ans.
$\begin{aligned}
& \text { Sum of two numbers }=10750308 \\
& \text { First number }=8967519 \\
& \therefore \text { Second number }=10750308-8967519 \\
& =1782789
\end{aligned}$
Working :
$\begin{array}{r}
10750308 \\
-8967519 \\
\hline 1782789 \\
\hline
\end{array}$
Question 13
Q. 13. A man had Rs. 20000000 with him. He spent Rs. 13607085 on buying a school building. How much money is left with him?
Ans. Total money, a man had = Rs 20000000
Amount spent on buying a school building
$\text { = Rs. } 13607085$
Amount left with him
$\begin{aligned}
& \text { = Rs. } 20000000 \text { - Rs. } 13607085 \\
& \text { =Rs. } 6392915 \\
& \text { Working : } \\
& \begin{array}{r}
20000000 \\
-13607085 \\
\hline 6392915 \\
\hline
\end{array}
\end{aligned}$
Question 14
Ans.
The total requirement of a society $=$ Rs.
18536000
Amount of fee collection = Rs. 7253840
Amount of loan taken $=$ Rs. 5675450
Amount of donation $=$ Rs. 2937680
Total amount collected
$\begin{aligned}
& =\text { Rs. } 7253840+\text { Rs. } 5675450 \\
& + \text { Rs. } 2937680 \\
& =\text { Rs. } 15866970
\end{aligned}$
Short amount
$\begin{aligned}
& =\text { Rs. } 18536000-\text { Rs. } 15866970 \\
& =\text { Rs. } 2669030
\end{aligned}$
Working :
$\begin{array}{r}
7253840 \\
+5675450 \\
+2937680 \\
\hline 15866970 \\
\hline 18536000 \\
-15866970 \\
\hline 2669030 \\
\hline
\end{array}$
Question 15
3964790 to his son and the rest to his daughter. How much money was received by the daughter?
Ans. Total amount a man had = Rs. 10672540
Amount given to his wife $=$ Rs. 4836980
Amount given to his son $=$ Rs 3964790
Total amount given to wife and son
$\begin{aligned}
& =\text { Rs. } 4836980+\text { Rs } 3964790 \\
& =\text { Rs. } 8801770
\end{aligned}$
Working :
$\begin{array}{r}
4836980 \\
+3964790 \\
\hline 8801770 \\
\hline
\end{array}$
Balance amount given to his daughter
$\begin{aligned}
& =\text { Rs. } 10672540-\text { Rs. } 8801770 \\
& =\text { Rs. } 1870770
\end{aligned}$
Working :
$\begin{array}{r}
10672540 \\
-8801770 \\
\hline 1870770 \\
\hline
\end{array}$
Question 16
Ans. Cost of one chair = Rs. 1485
$\begin{aligned}
& \therefore \text { Cost of } 469 \text { chairs = Rs. } 1485 \times 469 \\
& =\text { Rs. } 696465
\end{aligned}$
$\begin{array}{r}
\text { Working : } \\
1485 \\
\times 469 \\
\hline 13365 \\
8910 \times \\
5940 \times \times \\
\hline 696465 \\
\hline
\end{array}$
Question 17
Sol. Collection from one student $=$ Rs. 625
$\therefore$ Collection from 1786 students
$=$ Rs. $1786 \times 625$
$=$ Rs. 1116250
$\begin{array}{r}\text { Working : } \\1786 \\\times 625 \\\hline 8930 \\3572 \times \\10716 \times \times \\\hline 1116250 \\\hline\end{array}$
Question 18
Ans.
Number of screws produced in one day
$\begin{aligned}
& =6985 \\
& \therefore \text { Number of screws produced in } 358 \text { days } \\
& =6985 \times 358=2500630
\end{aligned}$
Working :
$\begin{array}{r}
6985 \\
\times 358 \\
\hline 55880 \\
34925 \times \\
20955 \times \times \\
\hline 2500630 \\
\hline
\end{array}$
Question 19
years?
Ans. Number of months in one year $=12$
$\therefore$ Number of months in 13 years
$=12 \times 13=156 \text { months }$
Saving in one month $=$ Rs. 8756
$\therefore$ Saving in 156 months
$=\text { Rs. } 8756 \times 156=\text { Rs. } 1365936$
$\begin{aligned}
&\text { Working : }\\
&\begin{array}{r}
8756 \\
\times 156 \\
\hline 52536 \\
43780 \times \\
8756 \times \times \\
\hline 1365936 \\
\hline
\end{array}
\end{aligned}$
Question 20
Ans. Cost of 1 scooter = Rs. 36725
$\begin{aligned}
& \therefore \text { Cost of } 487 \text { scooters } \\
& =\text { Rs. } 36725 \times 487=\text { Rs. } 17885075
\end{aligned}$
$\begin{aligned}
&\text { Working : }\\
&\begin{array}{r}
36725 \\
\times 487 \\
\hline 257075 \\
293800 \times \\
146900 \times \times \\
\hline 17885075 \\
\hline
\end{array}
\end{aligned}$
Question 21
Ans.
Distance covered in 1 hour $=1485 \mathrm{~km}$
$\begin{array}{r}\text { Working : } \\ 1485 \\ \times 72 \\ \hline 2970 \\ 10395 \times \\ \hline 106920 \\ \hline\end{array}$
Question 22
If one of the numbers is 364 , find the other.
Ans. Product of two numbers = 13421408
First number $=364$
$\begin{aligned}
& \therefore \text { Second number }=13421408 / 364 \\
& =36872
\end{aligned}$
Working :
<to be added>
Question 23
Q.23. If 36 flats cost Rs. 68251500 , what is
the cost of each flat ?
Ans. Cost of 36 flats = Rs. 68251500
$\therefore$ Cost of one flat
$=$ Rs. 68251500/36
= Rs. 1895875
Working :
<to be added>
Question 24
Q.24. The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is $14 \mathbf{~ k g ~} 480 \mathrm{~g}$. How much is the mass of the gas contained in it ?
Ans. Mass of cylinder with gas $=30 \mathrm{~kg} 250 \mathrm{~g}$ and mass of empty cylinder
$\begin{aligned}
& =14 \mathrm{~kg} 480 \mathrm{~g} \\
& \therefore \text { Mass of gas }=30 \mathrm{~kg}, 250 \mathrm{~g}-14 \mathrm{~kg}, 480 \mathrm{~g} \\
& =15 \mathrm{~kg}, 770 \mathrm{~g}
\end{aligned}$
Working:
<to be added>
Question 25
Ans. Total length of cloth $=5 \mathrm{~m}$
Length of piece cut off $=2 \mathrm{~m} 85 \mathrm{~cm}$
$\therefore$ Length of remaining piece of cloth
$\begin{aligned}
& =5 \mathrm{~m}-2 \mathrm{~m} 85 \mathrm{~cm} \\
& =2 \mathrm{~m} 15 \mathrm{~cm}
\end{aligned}$
Working :
$\begin{array}{r}
5 \mathrm{~m} 00 \mathrm{~cm} \\
-2 \mathrm{~m} 85 \mathrm{~cm} \\
\hline 2 \mathrm{~m} \mathrm{1} 5 \mathrm{~cm} \\
\hline
\end{array}$
Question 26
Ans.
Cloth required for 1 shirt $=2 \mathrm{~m} 75 \mathrm{~cm}$
$\therefore$ Cloth required for 16 shirts
$\begin{aligned}
& =2 \mathrm{~m} 75 \mathrm{~cm} \times 16 \\
& =44 \mathrm{~m}
\end{aligned}$
Question 27
Q. 27. For making 8 trousers of the same size, $14 \mathrm{~m} \mathbf{8 0} \mathrm{~cm}$ of cloth is needed. How much cloth will be required for each such trouser?
Ans. Total length of cloth for 8 trousers
$=14 \mathrm{~m} 80 \mathrm{~cm}$
Length of cloth for 1 trouser
$\begin{aligned}
& =14 \mathrm{~m} 80 \mathrm{~cm} / 8 \\
& =1 \mathrm{~m} 85 \mathrm{~cm}
\end{aligned}$
Working :
<to be added>
Question 28
Ans.
Mass of 1 brick $=2 \mathrm{~kg} 750 \mathrm{~g}$
$\therefore$ Total mass of 14 bricks
$=2 \mathrm{~kg} 750 \mathrm{~g} \times 14$
$=38 \mathrm{~kg} 500 \mathrm{~g}$
Working:
$\begin{array}{r}2 \mathrm{~kg} 750 \mathrm{~g} \\ \times \quad 14 \\ \hline 38 \mathrm{~kg} 500 \mathrm{~g} \\ \hline\end{array}$
Question 29
Ans.
$\begin{aligned}
& \text { Total mass of } 8 \text { packets }=10 \mathrm{~kg} 600 \mathrm{~g} \\
& \therefore \text { Mass of one packet }=10 \mathrm{~kg} 600 / 8 \\
& =1 \mathrm{~kg} 325 \mathrm{~g} \\
& \text { Working : }
\end{aligned}$
<to be added>
Question 30
Ans.
Total length of rope $=10 \mathrm{~m}$
No of pieces $=8$
Length of each piece $=10 \mathrm{~m} / 8$
$=1 \mathrm{~m} 25 \mathrm{~cm}$
Working :
<to be added>
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