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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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