Page 97 - Maths Skills - 7

Comparing Quantities 95

Example 7: An article is sold for ` 450 at a profit of 20%. Find the C.P.

Solution: Let the cost price of the article be ` 100.
Given profit = ` 20 on ` 100.
S.P. = ` (100 + 20) = ` 120
If S.P. is ` 120, then C.P. = ` 100

If S.P. is ` 1, then C.P. = ` 100
120

If S.P. is ` 450, then C.P. = ` 100 × 450 = ` 375
120
Hence, C.P. = ` 375.

Exercise 5.5

1. Find the profit or loss in each of the following.
(i) C.P. = ` 482, S.P. = ` 500 (ii) C.P. = ` 1500, S.P. = ` 1200
(iii) C.P. = ` 4550, S.P. = ` 5060 (iv) C.P. = ` 6560, S.P. = ` 6000

2. Find the profit or loss per cent in the following.
(i) C.P. = ` 230, loss = ` 8 (ii) C.P. = ` 840, profit = ` 36

(iii) C.P. = ` 150, loss = ` 12 (iv) C.P. = ` 24, profit = ` 4
3. A man buys an old house for ` 300000. He spends ` 65000 on its repairs and sells it for ` 325000.
Find his profit or loss per cent.
4. The cost price of 15 books is equal to the selling price of 12 books. Find the gain per cent.
5. A man bought 6 dozens of bananas for ` 15 a dozen and sold them for ` 10 a dozen. Find his loss or gain
per cent.
6. A man buys 120 apples at 3 a rupee and 120 more at 2 a rupee, and then he sells the whole lot at 5 for
two rupees. Find his total loss or profit per cent.
7. By selling an article for ` 240, a man makes a profit of 20%. What is his C.P.? What would his profit per
cent be if he sells the article for ` 275?
8. If the C.P. of 20 tables is equal to the S.P. of 25 tables. Find the profit or loss per cent.

9. By selling a T.V. set, a retailer suffered a loss of 5%. Had he sold for ` 2880 more, he would have earned
a profit of 10%. What was the C.P. of the T.V. set?
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10. By selling a grocery item for ` 249.75 a kg, a profit of 12 % is made.
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(i) Find the cost price. (ii) What should the selling price be to get a profit of 25%?
11. A shopkeeper makes a profit of 15% by selling a book for ` 230. What is the C.P. and the actual profit?
12. A fruit-seller bought 25 kg apples at ` 8 per kg and 30 kg apples at ` 10 per kg. At what rate per kg
should he sell them to gain 21%.
13. Sumit bought one dozen oranges for ` 24. He sold the oranges at a loss of 10%. Find the selling price of
an orange.
14. A fan costs ` 670. And ` 45 is spent on its repairs. It is then sold for ` 880. What is the gain per cent?

15. By selling an air-cooler for ` 5950, Nitin lost 15%. For what price should he have sold it to get a profit
of 10%?