What is a single discount equivalent to the three successive discounts of 30%, 25% and 40%?

Correct option is C

Given:

Three successive discounts of 30%, 25%, and 40%.

Formula Used:

Equivalent Discount %  = 100 - $$\left(\frac{(100 - d_1)}{100}\times \frac{(100 - d_2)}{100}\times\frac{(100 - d_3)}{100}\right)$$​​

Solution:

Equivalent Discount = 100 - $$\left(\frac{(100 - 30)}{100}\times \frac{(100 - 25)}{100}\times\frac{(100 - 40)}{100}\right)$$​​

= 100 - $$\left(\frac{(70)}{100}\times \frac{(75)}{100}\times\frac{(60)}{100}\right)$$ 

= 100 - 31.5

= 68.5%