Successive discounts of 20% and 15% are equal to a single discount of ?

Solution: 2

Let the initial amount be = Rs. 100

After discount of 20%, it becomes = Rs. 80

After further discount of 15%, it becomes = Rs. 68

So, total discount = Rs. 32

Percent discount = 32/100 × 100 = 32%

Short trick

Resultant discount of 2 discounts = D1 + D2 - D1D2/100 = 20 + 15 - (20× 15)/100 = 32%