Discussion Forum : True Discount
Question -
A dealer marks his goods 20% above their cost price. He then allows some discount on marked price so that he makes a profit of 10%. The rate of discount is
Answer: Option B
Answer: (b)Let cost price of article = Rs.100Marked price of article= ${100 × 120}/100$ = Rs.120S.P. of article = Rs.110Discount = 120 - 110 = Rs.10If discount = x%, then${120 × x}/100$ = 10$x = {10 × 100}/120 = 25/3 = 8{1}/3$%Using Rule 8, Here, r = 20%, Profit = 10%Let, discount $r_1$ = x%Profit % = ${r × (100 - r_1)}/100 - r_1$10 = ${20 × (100 - x)}/100 - r_1$1000 = 2000 - 20x - 100x–1000 = –120x$x = 100/12 = 25/3 = 8{1}/3$%
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Answer: (b)Let cost price of article = Rs.100Marked price of article= ${100 × 120}/100$ = Rs.120S.P. of article = Rs.110Discount = 120 - 110 = Rs.10If discount = x%, then${120 × x}/100$ = 10$x = {10 × 100}/120 = 25/3 = 8{1}/3$%Using Rule 8, Here, r = 20%, Profit = 10%Let, discount $r_1$ = x%Profit % = ${r × (100 - r_1)}/100 - r_1$10 = ${20 × (100 - x)}/100 - r_1$1000 = 2000 - 20x - 100x–1000 = –120x$x = 100/12 = 25/3 = 8{1}/3$%
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