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Successive discounts of 10%,12% and 15% amount to a single discount of -
Answer & Solution
Correct Answer:
Option
A
Let marked price be Rs. 100
Then,
S.P. = 85% of 88% of 90% of Rs. 100
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{85}}{{100}} \times \frac{{88}}{{100}} \times \frac{{90}}{{100}} \times 100} \right) \cr & = {\text{Rs}}.67.32 \cr} $$
∴ Single Discount
= (100 - 67.32)%
= 32.68%
Then,
S.P. = 85% of 88% of 90% of Rs. 100
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{85}}{{100}} \times \frac{{88}}{{100}} \times \frac{{90}}{{100}} \times 100} \right) \cr & = {\text{Rs}}.67.32 \cr} $$
∴ Single Discount
= (100 - 67.32)%
= 32.68%
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