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Atul makes a profit of 20% even after offering a discount of 25% on the marked price of a wooden antique table. If he makes a profit of Rs.2000 on sale of the table, the marked price is:1). Rs. 100002). Rs. 120003). Rs. 140004). Rs. 16000 |
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Answer» LET the marked price be RS. X. Then, S.P = Marked price – Discount ⇒ S.P = X – 25% of X = 75X/100 ⇒ S.P = 3X/4---- (1) Given, Profit % = 20% S.P = C.P + Profit ⇒ S.P = C.P + 20% of C.P ⇒ S.P = 120 C.P/100 ⇒ Profit = S.P – C.P ⇒ Profit = 120 C.P/100 – C.P = 20 C.P/100 ⇒ 2000 = 20 C.P/100 ⇒ C.P = 10000 ⇒ S.P = 120 × 10000/100 = 12,000 From (1), 3X/4 = 12,000 ⇒ X = Rs. 16000 ∴ Marked price is Rs. 16000 |
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