A singal discount equivalent to the successive discounts of 10%, 20% and 25% is

A singal discount equivalent to the successive discounts of 10%, 20% and 25% is
[A]46%
[B]60%
[C]55%
[D]45%

46%
Single of discount for successive discounts 10% and 20%
$latex = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%&s=1$
∴ Equivalent discount for discounts 28% and 25%
$latex = \left ( 28+25-\frac{28\times 25}{100} \right )\% = 53-7 = 46\%&s=1$
Hence option [A] is the right answer.

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