Question
The marked price of a T.V. is Rs.16,000. After two successive discounts it is sold for Rs.11,400. If the first discount is 5%, then the rate of second discount is
Answer: Option A
Answer: (a)After a discount of 5%SP = ${95 × 16000}/100$ = Rs.15200Let the second discount be x%.x% of 15200 = (15200 - 11400)${x × 15200}/100 = 3800$$x = {3800 × 100}/15200 = 25$Second discount = 25%Using Rule 3,Here, M.P. = 16000, S.P. = 11400, $D_1 = 5%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$11400 = 16000$({100 - 5}/100)({100 - D_2}/100)$$114000/{16 × 95} = 100 - D_2$$75 = 100 - D_2 ⇒ D_2$ = 25%
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Answer: (a)After a discount of 5%SP = ${95 × 16000}/100$ = Rs.15200Let the second discount be x%.x% of 15200 = (15200 - 11400)${x × 15200}/100 = 3800$$x = {3800 × 100}/15200 = 25$Second discount = 25%Using Rule 3,Here, M.P. = 16000, S.P. = 11400, $D_1 = 5%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$11400 = 16000$({100 - 5}/100)({100 - D_2}/100)$$114000/{16 × 95} = 100 - D_2$$75 = 100 - D_2 ⇒ D_2$ = 25%
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