Question

20.) Successive discounts of 10%, 12% and 15% amount
to a single discount of:
a) 32.68% b) 35.28% c) 36.68%
d) 34.68% e) 36.18%​

Answer 1

$\Large \mathfrak{ \underline{Question : }} \\ \\ \sf{Successive \: discounts \: of \: 10\: \%, \: 12\: \% \: and} \\ \sf{15 \: \% \: amount \: to \: a \: single \: discount \: of:} \\ \\ \Large \mathfrak{ \underline{Solution : }} \\ \\ \sf Let \: marked \: price \: be \: Rs. \: 100. \\ \\ \sf</p><p>Then, \\ \sf</p><p>S.P. = 85 \: \% \: of \: 88 \: \% \: of \: 90 \: \% \: of \: Rs. \: 100 \\ \: \: \: \: \: \: \: \: \: \sf = Rs. \: \frac{85}{100} \times \frac{88}{100} \times \frac{90}{100} \times 100 \\ \: \: \: \: \: \: \: \: \: \sf = Rs. \: 67.32 \\ \\ \therefore \: \sf Single \: Discount \\ \qquad \sf = (100 - 67.32) \: \% \\ \qquad \sf = 32.68 \: \%$