Two successive discounts of 15% and x% on the sale of an item is equivalent to a single discount of 23.5%. What is the value of x%?

Correct option is C

Given:

Two discount of 15% and x%

Equivalent discount =23.5%

Formula Used:

Successive Discount Formula = $$d_1+d_2 - \frac{d_1 d_2}{100}$$​​

Solution:

Here equivalent discount = 23.5%

​$$23.5 = 15 + x - \frac{15x}{100}$$​​

​$$x - \frac{3x}{20} = 23.5-15$$​​

​$$\frac{20x-3x}{20} = 8.5$$​​

​$$17x=20 \times 8.5$$​​

​$$x= \frac{20 \times 8.5}{17}$$​​

x= 10%