Page 117 - ICSE Math 7

\ S.P. of 14 flowers = C.P. + Profit = ` 224 + ` 56 = ` 280

280
\ S.P. of 1 flower = ` = ` 20
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Example 9: A carpenter sold two tables for ` 9,900 each. By doing so, he had a gain of 10% on one
and a loss of 10% on the other. Find his net gain or loss per cent.
Solution: Let the cost price of each table be ` 100.
For one table, there is a gain of 10%.
10
Profit = 10% of ` 100 = × ` 100 = ` 10
100
\ S.P. = C.P. + Profit = ` 100 + ` 10 = ` 110
If S.P. is ` 110, C.P. is ` 100.
100
\ If S.P. is ` 1, C.P. is ` .
110
 100 
9 900 = ` 9,000.
If S.P. is ` 9,900, C.P. is `  110 × , 

For the second table, there is a loss of 10%.
Loss = 10% of ` 100
10
= × ` 100 = ` 10
100
\ S.P. = C.P. – Loss = ` 100 – ` 10 = ` 90
If S.P. is ` 90, C.P. is ` 100.
100
\ If S.P. is ` 1, C.P. is ` 90 .

100 × 9,900
If S.P. is ` 9,900, C.P. is ` = ` 11,000.
90
C.P. of two tables = ` 9,000 + ` 11,000 = ` 20,000

S.P. of two tables = ` 9,900 + ` 9,900 = ` 19,800
As C.P. of two tables > S.P. of two tables, therefore there is a loss.
Loss = C.P. – S.P. = ` 20,000 – ` 19,800 = ` 200
Loss 200
Loss% = × 100% = × 100% = 1%
Cost price 20,000

EXERCISE 9.1

1. Find the profit or loss per cent when:
(a) C.P. = ` 800, S.P. = ` 850
(b) C.P. = ` 900, S.P. = ` 700
(c) C.P. = ` 1,400, S.P. = ` 1,200

(d) C.P. = ` 3,300, S.P. = ` 3,597
2. By selling an article for ` 2,720 a shopkeeper suffered a loss of 15%. Find the cost price of the
article.
3
3. The selling price of an article is ` 25,000 and its cost price is of its selling price. Find the gain
5
or loss per cent on the article.

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