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A vendor buys lemons at ₹25 per dozen and sells them at the rate of 5 for ₹12. His gain percent is ____%.

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Detailed Solution

A vendor buys lemons at ₹25 per dozen and sells them at the rate of 5 for ₹12. His gain percent is 15.2%.
Given that, a vendor buys lemons at ₹25 per dozen and sells them at the rate of 5 for ₹12.
We have the following formula,

Gain ​ ​ % ​ ​ = SP − CP CP × 100

To calculate the gain percent, we first find the cost price of one lemon

= 2512

.
Now, the selling price of one lemon

= 125

.
Apply,

Gain ​ ​ % ​ ​ = SP − CP CP × 100

Gain ​ % ​ ​ = 125 − 2512 2512 × 100 = 144 − 125 60 × 1225 × 100 = 765 = 15.2 %

The correct answer is 15.2%.

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