myhelper: RD Sharma solution class 7 chapter 11 Percentage Objective Type Questions

RD Sharma solution class 7 chapter 11 Percentage Objective Type Questions

Objective Type Questions

Page-11.14

Question 1:

$\frac{2}{5}$ as a percent is

(a) 30%
(b) 35%
(c) 40%
(d) 45%

Answer 1:

$\frac{2}{5} = \frac{2}{5} \times \frac{100}{100} = \frac{40}{100} = 40 %$

Hence, the correct option is (c).

Question 2:

$\frac{5}{4}$ as a percent is

(a) 80%
(b) 125%
(c) 120%
(d) 130%

Answer 2:

$\frac{5}{4} = \frac{5}{4} \times \frac{100}{100} = \frac{5 \times 25}{100} = \frac{125}{100} = 125 %$

Hence, the correct option is (b).

Question 3:

The ratio 3 : 5 as a percent is

(a) 60%
(b) 50%
(c) 40%
(d) 80%

Answer 3:

$\frac{3}{5} = \frac{3}{5} \times \frac{100}{100} = \frac{3 \times 20}{100} = \frac{60}{100} = 60 %$

Hence, the correct option is (a).

Question 4:

12% as a fraction is

(a) $\frac{3}{25}$
(b) $\frac{4}{25}$
(c) $\frac{3}{20}$
(d) $\frac{6}{25}$

Answer 4:

$12 % = \frac{12}{100} = \frac{12 \div 4}{100 \div 4} = \frac{3}{25}$

Hence, the correct option is (a).

Question 5:

$1 \frac{1}{4} %$ as a fraction is

(a) $\frac{1}{40}$
(b) $\frac{1}{60}$
(c) $\frac{1}{80}$
(d) $\frac{1}{70}$

Answer 5:

$1 \frac{1}{4} % = \frac{5}{4} % = \frac{5}{4} \times \frac{1}{100} = \frac{1}{4 \times 20} = \frac{1}{80}$

Hence, the correct option is (c).

Question 6:

Which of the following fractions is equivalent to 25% ?

(a) $\frac{1}{4}$
(b) $\frac{1}{5}$
(c) $\frac{1}{3}$
(d) $\frac{1}{2}$

Answer 6:

$25 % = \frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$

Hence, the correct option is (a).

Question 7:

If 25% of x is 100, then x =

(a) 100
(b) 200
(c) 300
(d) 400

Answer 7:

$25 % of x = 100 \Rightarrow \frac{25}{100} \times x = 100 \Rightarrow \frac{x}{4} = 100 \Rightarrow \frac{4 \times x}{4} = 4 \times 100 \Rightarrow x = 400$

Hence, the correct option is (d).

Question 8:

If 8% of a number is 6, then the number is

(a) 96
(b) 60
(c) 96
(d) 75

Answer 8:

Let the required number be x.

$8 % of x = 6 \Rightarrow \frac{8}{100} \times x = 6 \Rightarrow \frac{2 x}{25} = 6 \Rightarrow \frac{2 x \times 25}{25} = 6 \times 25 \Rightarrow 2 x = 150 \Rightarrow x = \frac{150}{2} \Rightarrow x = 75$

Hence, the correct option is (d).

Question 9:

If x% of 75 is 12, then x =

(a) 8
(b) 10
(c) 12
(d) 16

Answer 9:

Let the required number be x.

$x % of 75 = 12 \Rightarrow \frac{x}{100} \times 75 = 12 \Rightarrow \frac{3 x}{4} = 12 \Rightarrow \frac{3 x \times 4}{4} = 12 \times 4 \Rightarrow 3 x = 48 \Rightarrow x = \frac{48}{3} \Rightarrow x = 16$

Hence, the correct option is (d).

Question 10:

If $\frac{5}{6}$ of 29% of x is 29, then x =

(a) 290
(b) 58
(c) 120
(d) 100

Answer 10:

Let the required number be x.

$\frac{5}{6} o f 29 % of x = 29 \Rightarrow \frac{5}{6} (\frac{29}{100} \times x) = 29 \Rightarrow \frac{29 x}{120} = 29 \Rightarrow 29 x = 29 \times 120 \Rightarrow x = \frac{29 \times 120}{29} \Rightarrow x = 120$

Hence, the correct option is (c).

Question 11:

What percent of $\frac{2}{7}$ is $\frac{1}{35}$ ?

(a) 25%
(b) 20%
(c) 15%
(d) 10%

Answer 11:

Let the required number be x.

$x % of \frac{2}{7} = \frac{1}{35} \Rightarrow \frac{x}{100} \times \frac{2}{7} = \frac{1}{35} \Rightarrow \frac{x}{350} = \frac{1}{35} \Rightarrow \frac{350 \times x}{350} = \frac{1 \times 350}{35} \Rightarrow x = \frac{350}{35} \Rightarrow x = 10$

Hence, the correct option is (d).

Page-11.15

Question 12:

If x = 100, then 120% of x is

(a) 125
(b) 115
(c) 120
(d) 110

Answer 12:

120% of x = $\frac{120}{100} \times 100 = 120$

Hence, the correct option is (c).

Question 13:

40% of 150 + 60% of 150 =

(a) 200
(b) 150
(c) 250
(d) 180

Answer 13:

$40 % of 150 = \frac{40}{100} \times 150 = 60 60 % of 150 = \frac{60}{100} \times 150 = 90$

Therefore, 40% of 150 + 60% of 150 = 60 + 90 = 150.

Hence, the correct option is (b).

Question 14:

50% of 150 + 70% of 300 =

(a) 295
(b) 285
(c) 265
(d) 275

Answer 14:

$50 % of 150 = \frac{50}{100} \times 150 = 75 70 % of 300 = \frac{70}{100} \times 300 = 210$

Therefore, 50% of 150 + 70% of 300 = 75 + 210 = 285.

Hence, the correct option is (b).

Question 15:

55% of 1000 ÷ 60% of 2000 =

(a) $\frac{11}{24}$
(b) $\frac{12}{25}$
(c) $\frac{13}{24}$
(d) $\frac{14}{25}$

Answer 15:

$55 % of 1000 = \frac{55}{100} \times 1000 = 550 60 % of 2000 = \frac{60}{100} \times 2000 = 1200 Therefore, 55 % of 1000 \div 60 % of 2000 = \frac{550}{1200} = \frac{550 \div 50}{1200 \div 50} = \frac{11}{24} .$

Hence, the correct option is (a).

Question 16:

If x% of 2000 = 600, then x =

(a) 60
(b) 30
(c) 40
(d) 50

Answer 16:

$x % of 2000 = 600 \Rightarrow \frac{x}{100} \times 2000 = 600 \Rightarrow 20 x = 600 \Rightarrow x = \frac{600}{20} \Rightarrow x = 30$

Hence, the correct option is (b).

Question 17:

If x% of $\frac{12}{5} is \frac{18}{25}$ , then x =

(a) 30
(b) 40
(c) 72
(d) 50

Answer 17:

$x % of \frac{12}{5} = \frac{18}{25} \Rightarrow \frac{x}{100} \times \frac{12}{5} = \frac{18}{25} \Rightarrow \frac{12 x \times 500}{500} = \frac{18 \times 500}{25} \Rightarrow 12 x = 18 \times 20 \Rightarrow x = \frac{18 \times 20}{12} \Rightarrow x = 30$

Hence, the correct option is (a).

Question 18:

The value of 30% of 60% of 200 is

(a) 23
(b) 24
(c) 18
(d) 36

Answer 18:

$60 % of 200 = \frac{60}{100} \times 200 = 120 30 % of 60 % of 200 = \frac{30}{100} \times 120 = 36$

Hence, the correct option is (d).

Question 19:

If $\frac{2}{5}$ of 50% of x is 10,then x =

(a) 100
(b) 50
(c) 25
(d) 80

Answer 19:

$\frac{2}{5} of 50 % of x = 10 \Rightarrow \frac{2}{5} \times \frac{50}{100} \times x = 10 \Rightarrow \frac{x}{5} = 10 \Rightarrow \frac{x \times 5}{5} = 10 \times 5 \Rightarrow x = 50$

Hence, the correct option is (b).

Question 20:

If $\frac{4}{7}$ of 49% of x is 21,then x =

(a) 125
(b) 98
(c) 84
(d) 75

Answer 20:

$\frac{4}{7} of 49 % of x = 21 \Rightarrow \frac{4}{7} \times \frac{49}{100} \times x = 21 \Rightarrow \frac{7 x}{25} = 21 \Rightarrow \frac{7 x \times 25}{25} = 21 \times 25 \Rightarrow x = \frac{21 \times 25}{7} \Rightarrow x = 75$

Hence, the correct option is (d).

Question 21:

Which of the following fractions is equivalent to 12.5% ?

(a) $\frac{1}{8}$
(b) $\frac{1}{6}$
(c) $\frac{1}{5}$
(d) $\frac{1}{12}$

Answer 21:

$12.5 % = \frac{12.5}{100} = \frac{125}{1000} = \frac{125 \div 25}{1000 \div 25} = \frac{5}{40} = \frac{5 \div 5}{40 \div 5} = \frac{1}{8}$

Hence, the correct option is (a).

Question 22:

Ravish saved 55% of his income. If his income is ₹11000, then his expenditure is

(a) ₹6050
(b) ₹7450
(c) ₹4950
(d) ₹3550

Answer 22:

Savings of Ravish = 55% of ₹11000

Expenditures of Ravish = 45% of ₹11000
= $\frac{45}{100} \times 11000$
= ₹4950

Hence, the correct option is (c).

Question 23:

If 35% of a number added to 39 is the number itself, the number is

(a) 60
(b) 65
(c) 75
(d) 105

Answer 23:

Let the required number be x.

According to the question,
$35 % of x + 39 = x \Rightarrow \frac{35}{100} \times x + 39 = x \Rightarrow \frac{35 x \times 100}{100} = (x - 39) \times 100 \Rightarrow 35 x = 100 x - 3900 \Rightarrow 100 x - 35 x = 3900 \Rightarrow 65 x = 3900 \Rightarrow x = \frac{3900}{65} \Rightarrow x = 60$

Hence, the correct option is (a).

Question 24:

On increasing the salary of a man by 25%, it becomes ₹20,000. What was his original salary?

(a) ₹15000
(b) ₹16000
(c) ₹18000
(d) ₹25000

Answer 24:

Let the original salary of the man be x.

According to the question,
$x + 25 % of x = 20000 \Rightarrow x + \frac{25}{100} \times x = 20000 \Rightarrow x + \frac{x}{4} = 20000 \Rightarrow \frac{4 x + 4}{4} = 20000 \Rightarrow \frac{5 x}{4} \times 4 = 20000 \times 4 \Rightarrow 5 x = 80000 \Rightarrow x = \frac{80000}{5} \Rightarrow x = 16000$

Therefore, Original salary of the man is ₹16000.

Hence, the correct option is (b).

Question 25:

Rohit scored 180 marks in the first test and 150 marks in the second test. The maximum marks in each test is 200. What is the decrease in his performance in percentage points?

(a) 20%
(b) 15%
(c) 25%
(d) 23%

Answer 25:

Marks scored in first test = 180
Marks scored in second test = 150
Maximum marks = 200

Decrease in marks = 180 − 150 = 30
Decrease in performance in percentage = $\frac{30}{200} \times 100 = 15 %$

Hence, the correct option is (b).