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If selling price of suit is reduced by Rs. 2000 than profit percentage changes from 15% to 10%. What is the cost price of this product?1. Rs. 40,0002. Rs. 42,0003. Rs. 44,0004. Rs. 45,0005. Rs. 50,000 |
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Answer» Correct Answer - Option 1 : Rs. 40,000 Given: S.P. reduces 20% Initial gain = 15% Final gain = 10% Formula used: Gain = (gain%/100) × C.P. S.P. = C.P. + Gain Calculation: Let C.P. = 100 ⇒ Initial S.P. = 100 + (0.15 × 100) ⇒ Initial S.P. = 100 +15 ⇒ Initial S.P. = 115 Now, calculate final S.P. ⇒ Final S.P. = 100 + (0.10 × 100) ⇒ Final S.P. = 100 + 10 ⇒ Final S.P. = 110 Change in S.P = 115 -110 ⇒ 5 units difference = 2000 ⇒ 1 units = 400 Hence, 100 × 400 = 40,000 ∴ Cost price of suit = Rs. 40,000 |
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