Question 139

By selling 12 kg of potatoes for ₹63, a shopkeeper gains 5%. What is his gain or loss percent if he sells 50 kg of the same potatoes for ₹247.50?

Solution

The shopkeeper sells 12kg of potatoes for 63rs i.e 1kg for 5.25rs

Let cost price = 100x. As he gains 5% the equation can be written as,

105x = 5.25rs (or) 100x = 5rs

$$\therefore$$ Cost price = 5rs

He sells 50 kg of the same potatoes for 247.50rs (or) 1kg = 4.95rs

Gain or loss percentage = $$(\frac{4.95 - 5}{5})(100)$$ = 0.05 x 100 = -1%

There will be a loss of 1%

Hence, option B is the correct answer.

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