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This question belongs to Arithmetic Ability True Discount
True Discount
?

A single discount equivalent to three successive discount of 6%, 15% and 14% is:

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {\text{Discount }}\% = x + y - \frac{{xy}}{{100}} \cr & {\text{2 years}} \to {\text{discount }}\% \cr & = 6 + 15 - \frac{{6 \times 15}}{{100}} \cr & = 21 - 0.9 \cr & = 20.1\% \cr & {\text{3 years}} \to {\text{discount }}\% \cr & = 20.1 + 14 - \frac{{20.1 \times 14}}{{100}} \cr & = 34.1 - 2.814 \cr & = 31.286\% \cr} $$
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