High School

A person can buy 5 more kg of apples for Rs. 165 when the price of apples is reduced by 20%. What is the reduced price of apples per kg?

a) Rs. 15
b) Rs. 16
c) Rs. 17
d) Rs. 18

Answer :

Final answer:

The reduced price of apples per kg is calculated by considering the original price, subtracting the 20% reduction, and accounting for the additional 5 kg that can be purchased for Rs. 165. The options provided do not match this calculation.

Explanation:

To solve for the reduced price of apples per kg, let's name the original price per kg of apples as P. When the price is reduced by 20%, the new price becomes 0.8P. If a person can buy 5 more kg of apples for Rs. 165 with the reduced price, it means that with the original price, they could have bought 165 / P kg of apples, and with the reduced price, they can now buy 165 / (0.8P) kg of apples.

The additional amount they can now buy is 5 kg, which results in the equation: 165 / (0.8P) - 165 / P = 5.

This equation simplifies to P = 33. Thus, the reduced price is 0.8P, meaning 0.8 x 33 = Rs. 26.4 per kg; However, this is not one of the given options, suggesting there might be a mistake in the calculation or the question may have missing details as none of the answer options correspond to the calculated reduced price.