The single discount equal to three consecutive discounts of 10%, 12% and 5% ?

Solution(By Examveda Team)

Let the marked price Rs. 100
$$\eqalign{ & {\text{Final selling price}} \cr & {\text{ = 100}} \times \frac{{90}}{{100}} \times \frac{{88}}{{100}} \times \frac{{95}}{{100}} \cr & {\text{ = Rs}}{\text{. 75}}{\text{.24 }} \cr & {\text{Net discount }} \cr & {\text{ = }}\left( {100 - 75.24} \right) \cr & {\text{ = 24}}{\text{.76}}\% \cr} $$

Alternate :
Single equivalent discount for 10% and 12%
$$\eqalign{ & = \left( {10 + 12 - \frac{{10 \times 12}}{{100}}} \right)\% \cr & = 20.8\% \cr} $$
Single equivalent discount for 20.8% and 5%
$$\eqalign{ & = \left( {20.8 + 5 - \frac{{20.8 \times 5}}{{100}}} \right)\% \cr & = 24.76\% \cr} $$