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Ratio of the marked price of a trouser and a jacket is 5 : 7 respectively. The shopkeeper gives 30 percent discount on the trouser. If the total discount offered on both of them together is 50 percent, then what is the discount percentage offered on the jacket?1. 34.682. 60.763. 654. 64.28 |
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Answer» Correct Answer - Option 4 : 64.28 Given: Ratio of the marked price(MP) of a trouser and a jacket = 5 : 7 Discount on trouser = 30% Total discount on both of them = 50% Formula used: Discount% = (Discount/MP) × 100 Calculation: Let the MP of trouser and jacket be 5x and 7x Discount on trouser = 0.3 × 5x = 1.5x Total discount on both = 0.5 × (5x + 7x) = 6x ⇒ Discount on jacket = 6x - 1.5x = 4.5x Discount% on jacket = (4.5x/7x) × 100 = 64.28 ∴ Discount on jacket = 64.28% |
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