What will be the net discount percentage of three successive discounts of 20%, 10% and 30%?
Let list price = Rs. $$100x$$
After first discount of 20%, price = $$100x \times \frac{(100-20)}{100}=80x$$
After second discount of 10%, price = $$80x \times \frac{(100-10)}{100}=72x$$
After third discount of 30%, price = $$72x \times \frac{(100-30)}{100}=50.4x$$
=> Equivalent discount = $$\frac{100x-50.4x}{100x} \times 100$$
= $$49.6\%$$
=> Ans - (B)
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