11. A seller earned 20% profit by selling a wall-clock for Rs. 250. In what
price the purchaser should sell it to get a profit of 20%?
(a) Rs. 300 (b) Rs. 280 (c) Rs. 320 (d) None of these
Answers
Step-by-step explanation:
sp = cp(1+g%)
250 = cp(1+20%) = cp(1+.2) = 1.2cp
cp = 250/1.2 = 208.33
profit = 20%
sp = 250
Therefore the selling price of the wall clock must be Rs. 300/- to get a 20% profit. ( Option-a )
Given:
Profit earned by selling a wall clock by the seller = 20%
Cost Price of the wall clock by the purchaser = CP = Rs. 250
The profit that should be earned by the purchaser = 20%
To Find:
The selling price of the wall clock to obtain 20% profit.
Solution:
The given question can be solved as shown below.
Let the Selling price of the wall clock be 'SP' to get 20% of the profit.
Given that,
Cost Price of the wall clock by the purchaser = CP = Rs. 250
The profit that should be earned by the purchaser = 20%
Profit percentage = [ ( SP - CP )/CP ] × 100
⇒ 20 = [ ( SP - 250 )/250 ] × 100
⇒ 0.2 × 250 = SP - 250
⇒ SP = 250 + 50 = 300
Therefore the selling price of the wall clock must be Rs. 300/- to get a 20% profit.
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