Successive discounts of 10%, 20% and 30% is equivalent to a single discount of :
Successive discounts of 10%, 20% and 30% is equivalent to a single discount of :
[A]36%
[B]40.5%
[C]49.6%
[D]60%
49.6%
Single equivalent discount for successive discounts of 10% and 20%.
$latex = \left ( 10+20-\frac{20\times 10}{100} \right )\% = 28\%&s=1$
Single equivalent discount for 28% and 30%.
$latex = \left ( 28+30-\frac{28\times 30}{100} \right )\% = 49.6\%&s=1$
Hence option [C] is correct answer.