Question

Last year, the ratio of the prices of two articles A and B was 3 : 5. This year, the price of A is increased by 25% and that of B is decreased by ₹210. If the ratio of the present prices of A and B is 15 : 14, then the price of A last year was:

• A. ₹420
• B. ₹435
• C. ₹450
• D. ₹600

Hint:

When dealing with ratios and percentages, convert percentage changes into multiplication factors and set up equations based on the given relationships.

Answer 1

The Correct Option is A

Let the price of A last year be \( x \) and the price of B last year be \( y \). We are given the ratio of the prices last year as 3 : 5, so \[ \frac{x}{y} = \frac{3}{5} \] We also know the price of A increases by 25% and that of B decreases by ₹210, giving us the equation \[ \frac{1.25x}{y - 210} = \frac{15}{14} \] Solve these equations to find the value of \( x \).