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?

Answer :

Final answer:

To calculate the reduced price of apples per kg after a 20% price reduction, let the original price be x. After setting up an equation based on the given information and solving it, we find that the reduced price per kg is Rs.26.4.

Explanation:

The question is focused on determining the reduced price of apples per kg after a 20% price reduction that allows a person to buy 5 more kg in Rs.165.

Let the original price per kg of apples be x rupees. Before the price reduction, with Rs.165, one can buy 165/x kgs of apples.

After a 20% price reduction, the new price per kg becomes 0.8x (because 20% of x is 0.2x, and the new price is x - 0.2x).

Now with the same amount of money (Rs.165), one can buy 165/0.8x kgs of apples.

According to the question, 165/0.8x equals 165/x + 5.

To find the reduced price, we need to solve the equation:

165/0.8x = 165/x + 5.

This equation simplifies to x = 33, so the reduced price per kg of apples is 0.8x = 0.8 * 33, which equals Rs.26.4.