Question

Show that successive discounts of $20\%$ and $15\%$ are equivalent to a single discount of $32\%$.

Answer 1

Suppose Cost Price is RS. 100

Then $20\%$ discount means Selling Price is $RS.80$

But again on this price there's a discount of $15\%$

Therefore the final selling price is $80-\frac{(80\times 15)}{100}=RS.68$

Therefore total discount $=\frac{\left(\right(CP-SP)\times 100)}{CP}=32\%$