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Marked price of Bajaj iron, Usha iron and Philips iron are Rs.2400, Rs.3000 and Rs.3600 respectively. Bajaj iron is sold at a discount of 5%, Usha iron at a discount of 8% and Philips iron at a discount of 10%, yet the shopkeeper got an overall profit of 20%. If cost price of Bajaj iron is half of Usha iron and the cost price of Usha iron is half of Philips iron, find the cost price of Usha iron.1. Rs. 19712. Rs. 19733. Rs. 19704. Rs. 19755. Rs. 1981 |
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Answer» Correct Answer - Option 1 : Rs. 1971 Given: SP of Bajaj iron = Rs. 2400 SP of Usha iron = Rs. 3000 SP of Philips iron = Rs. 3600 Concept used: SP = [CP – (CP × Discount%)] Calculation: Let CP of Bajaj iron be 100x Then, CP of Usha iron = 200x CP of Philips iron = 400x SP of Bajaj iron = Rs. 2400 × 19/20 ⇒ Rs. 2280 SP of Usha iron = Rs. 3000 × 23/25 ⇒ Rs. 2760 SP of Philips iron = Rs. 3600 × 9/10 ⇒ Rs. 3240 According to the question, (100x + 200x + 400x) × 6/5 = (2280 + 2760 + 3240) ⇒ 700x × 6/5 = 8280 ⇒ 840x = 8280 ⇒ x = 8280/840 ⇒ 200x = [(8280/840) × 200] ⇒ 1971.42 ≈ 1971 ⇒ CP of Usha iron = Rs. 1971 ∴ Cost price of Usha iron is Rs. 1971 |
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