S.chand Class 8 Maths Solution Chapter 8 Percentage And Its Applications Exercise 8 C

  Exercise 8 C

Question 1

1. Kamal bought paper sheets for $₹ 7200$ and spent $₹ 200$ on transport. Paying $₹ 600$, he had 330 boxes made, which he sold at $₹ 28$ each. Find his total profit and profit $\%$.

2. A man buys a T.V for $₹ 6800$. For how much should he sell it so as to (i) gain $10 \%$, (ii) lose $5 \%$ on it ?

3. By selling a radio for $₹ 528$, Mohit gains $10 \%$. Find his cost price.

4. A watch sold for $₹ 448$ gives a profit of only $12 \%$. Find the profit $\%$ if the selling price had been $₹ 512$.

5. Prem sold a transistor to Sudhir at a gain of $10 \%$ and Sudhir sold it to Hari at a gain of $15 \%$. Prem had bought it for $₹ 500$, what did it cost to Hari ?

6. A manufacturer sells an article to a wholesaler at a profit of $18 \%$, the wholesaler sells it to a retailer at a profit of $20 \%$. The retailer sells it to a customer at a profit of $25 \%$. If the customer pays $₹ 30.09$ for it, find the cost of the manufacturer.

7. A shopkeeper sold an article at a gain of $5 \%$. If he had sold it for $₹ 16.50$ less, he would have lost $5 \%$. Find the cost price of the article.

8. By selling a stool for $₹ 67.50$, a carpenter loses $10 \%$. How much per cent would he gain or lose by selling it for $₹ 82.50$ ?

9. By selling a purse for $₹ 250$, Ranjana loses one-sixth of what it cost her. Find

(i) the cost price of the purse

(ii) her loss percentage.

10. If the cost price of 11 shirts is equal to the selling price of 10 shirts, find the percentage profit or loss.

11. Pens are bought at 12 for a rupee and sold at 9 for a rupee. Find the gain\%.

12. By selling 100 mangoes, a fruit seller gains the S.P. of 20 mangoes. Find his gain\%.

13. By selling 144 hens, Mala lost the S.P. of 6 hens. Find her loss $\%$.

14. A shopkeeper sold two pairs of jeans for $₹ 720$ each, gaining $20 \%$ on one and losing $20 \%$ on the other. Find his gain or loss $\%$.

15. John bought two horses at $₹ 20,000$ each. He sold one horse at $15 \%$ gain. But he had to sell the second horse at a loss. If he had sufferred a loss of $₹ 1800$ on the whole transaction, find the selling price of the second horse.

16. A shopkeeper buys two T.V. sets of the same type. He sells one of them at a profit of $20 \%$ and the other at a loss of $5 \%$. If the difference in selling prices is $₹ 700$, find the cost price of each T.V. set.

17. A publisher sells a book for $₹ 168$ at a profit of $20 \%$. If his cost of production increases by $30 \%$, what should be the increase in the price of the book so that his percentage profit remains the same ?

18. The difference in prices when a commodity is sold at a profit of $4 \%$ and at a profit of $6 \%$ is $₹ 3$. Find the selling prices of the commodity in the two cases.

19. A man buys a plot of land at ₹ $3,60,000$. He sells one third of the plot at a loss of $20 \%$. Again, he sells two -thirds of the plot left at a profit of $25 \%$. At what price should he sell the remaining plot in order to get a profit of $10 \%$ on the whole ?

20. A shopkeeper bought locks at the rate of 8 locks for $₹ 34$ and sold them at the rate of 12 locks for $₹ 57$. Calculate:

(i) his gain per cent, and

(ii) the number of locks he should sell to earn a profit of $₹ 45$.

[Hint. Let the number of locks bought be the LCM of 8 and 12]

21. Dinesh sold his motorcycle to Naveen at a loss of $28 \%$. Naveen spent $₹ 1680$ on its repairs and sold the motorcycle to Saran for ₹ 35,910 making a profit of $12.5 \%$. Find the cost of the motor cycle for Dinesh.

22. The C.P. of two watches taken together is $₹ 840$. If by selling one at a profit of $16 \%$ and the other at a loss of $12 \%$, there is no gain or loss in the whole transaction then find the C.P. of each watch.

Multiple Choice Questions (MCQs)

23. Ramesh owns a plot worth $₹ 10,000$. He sells it to Mukesh at a profit of $10 \%$. After sometime, Mukesh sells it back to Ramesh at a loss of $10 \%$, then what is Ramesh's total gain or loss?

(a) loses ₹ 100

(b) loses ₹ 900

(c) gains $₹ 100$

(d) gains ₹ 1100

24. If $5 \%$ more is gained by selling an article for $₹ 350$ than by selling it for $₹ 340$, then the cost of the article is:

(a) ₹ 50

(b) ₹ 160

(c) $₹ 200$

(d) $₹ 225$

High Order Thinking Skills (HOTS)

25. Some toffees are bought at the rate of 11 for $₹ 10$ and the same number at the rate of 9 for $₹ 10$. If the whole lot is sold at one rupee per toffee, find the gain or loss in the whole transaction.

[Hint. Let the number of toffees bought be the LCM of 11 and 9.]