# By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction ?

By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction ? A) 16 B) 18 C) 20 D) 22

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Let S.P. of 45 lemons be Rs. x.

Then, 80 : 40 = 120 : x or$$x = {40×120\over80}$$= 60

For Rs.60, lemons sold = 45

For Rs.24, lemons sold =$$\frac{45}{60}×24$$= 18