By selling oranges for 10 a Re. a man loses 10%. How many for a Re. he should sell the oranges to gain 80%?
Explanation:
Selling price of 1 orange = Rs. 1/10
Loss % = 10%
Now, SP = CP(1 - L/100)
⇒ 1/10 = CP(1 - 10/100)
Therefore, Cost Price of 1 orange = Rs. 1/9
Now, if he had to gain 80% then,
SP = 1/9(1 + 80/100)
⇒ SP = 1/9 × 18/10
⇒ SP = Rs. 1/5
Hence, he should sell 5 oranges for a Rs. to gain 80%.
Hence, option (d).
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