Discussion Forum : True Discount
Question -
A shopkeeper gives two successive discounts on an article marked Rs.450. The first discount given is 10 per cent. If the customer pays Rs.344.25 for the article, the second discount given is
Answer: Option A
Answer: (a) Let the second discount be x per cent.According to the question,$450 × {100 - 10}/100 × {100 - x}/100$ = 344.25100 - x = ${344.25 × 100 × 100}/{450 × 90}$100 - x = 85x = 100 - 85 = 15%.Using Rule 3,Here, M.P. = Rs.450, S.P. = Rs.344.25, $D_1 = 10%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$$344.25 = 450 × ({100 - 10}/100)({100 - D_2}/100)$$3442500/{450 × 90} = (100 - D_2)$$85 = 100 - D_2 ⇒ D_2$ = 15%
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Answer: (a) Let the second discount be x per cent.According to the question,$450 × {100 - 10}/100 × {100 - x}/100$ = 344.25100 - x = ${344.25 × 100 × 100}/{450 × 90}$100 - x = 85x = 100 - 85 = 15%.Using Rule 3,Here, M.P. = Rs.450, S.P. = Rs.344.25, $D_1 = 10%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$$344.25 = 450 × ({100 - 10}/100)({100 - D_2}/100)$$3442500/{450 × 90} = (100 - D_2)$$85 = 100 - D_2 ⇒ D_2$ = 15%
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