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A sold an item to B at 20% gain, B sold it to C at 8% gain. C sold it to D at 25% loss. If the difference between the profits of A and B is Rs. 260, then D bought it for:1. Rs. 2,4302. Rs. 2,2003. Rs. 2,2684. Rs. 2,480 |
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Answer» Correct Answer - Option 1 : Rs. 2,430 Given: A sold an item to B at 20% gain B sold it to C at 8% gain C sold it to D at 25% loss If the difference between the profit of A and B is Rs. 260 Concept used: S.P = C.P × (100 + P%)/100 S.P = C.P × (100 – L%)/100 P = S.P – C.P Where, S.P → Selling price C.P → Cost price P% → Profit% L% → Loss% Calculations: Let the cost price of A be 100x Cost price of B = Selling price of A = 100x × 120/100 = 120x Profit of A = 120x – 100x = 20x Cost price of C = Selling price of B = 120x × 108/100 = 129.60x Profit of B = 129.60x – 120x = 9.6x Difference between profit of A and B = 20x – 9.6x = 10.4x ⇒ 10.4x = 260 ⇒ x = 25 Cost price of D = Selling price of C = 129.60x × 75/100 = 97.20x Cost price of D = 97.20 × 25 = 2430 ∴ Cost price of D is Rs. 2,430 |
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