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A retailer purchases a sofa set at a discount of 20% and sells it for Rs. 2200. In the bargain he makes a profit of 20%. How much discount (in Rs.) did he receive?1). 13752). 68753). 7854). 458 |
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Answer» Let the M.P of the SOFA set be RS. x Then, C.P for the RETAILER = M.P – 20% of M.P ⇒ C.P = x – 20x/100 ⇒ C.P = 80x/100 The retailer sells it at Rs. 2200 and makes a profit of 20%. S.P = C.P + profit ⇒ 2200 = 80x/100 + 20% of 80x/100 ⇒ 2200 = 96x/100 ⇒ x = 6875/3 Thus, M.P = 6875/3 DISCOUNT offered was 20%. ⇒ discount = 20% of 6875/3 = 1375/3 ∴ discount = Rs. 458.33 ≈ Rs. 458 |
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