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A man sold two cycles at Rs. 1125 each. By selling one cycle, he gained 11% and by selling the other cycle, he lost 11%. Find his gain or loss.
Question

A man sold two cycles at Rs. 1125 each. By selling one cycle, he gained 11% and by selling the other cycle, he lost 11%. Find his gain or loss.

A.

Loss 1.2%

B.

Gained 1%

C.

Neither profit nor loss

D.

Loss 2%

Correct option is A

Given:
Selling price of both cycles = Rs. 1125 each
Gain on the first cycle = 11%
Loss on the second cycle = 11%
Formula Used:
When a person sells two items at the same price, with one at a gain and the other at a loss of the same percentage, there is always a loss.
The formula for the loss percentage in this case is:
Loss%=(Gain%×Loss%)100Loss \% = \frac{(Gain \% \times Loss \%)}{100}​​
Solution:
Substitute the values:
Loss%=(11×11)100=121100=1.21%Loss \% = \frac{(11 \times 11)}{100} = \frac{121}{100} = 1.21\%​​
Thus, the man incurs a loss of 1.21% on the overall transaction.


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