A discount of 15% on an item is equal to a discount of 20% on another item. The ratio of the prices of the two items will be ?

Correct option is B

Given:
A discount of 15% on an item is equal to a discount of 20% on another item.

Solution:

Let the price of item 1 be P₁ and the price of item 2 be P₂

The amounts of discount on the two items are equal, so:

​$$15\% \times p_1 = 20\% \times p_2$$

$$\frac{15}{100} \times p_1 = \frac{20}{100} \times p_2$$

$$\frac{3}{20} \times p_1 = \frac{1}{5} \times p_2$$

$$3 \times p_1 = 4 \times p_2$$

$$\frac{p_1}{p_2} = \frac{4}{3}$$

So, the ratio of the prices of the two items is 4 : 3.

Thus, the correct answer is (b).