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The ratio in which a variety of U.P sugar at Rs. 25/kg is mixed with another type of Gujarat sugar costing Rs 30/kg to get a gain of 20% by selling the blended sugar at Rs. 34/kg is:1). 1 : 32). 2 : 33). 1 : 24). 2 : 1 |
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Answer» Let the amount of U.P SUGAR in a mixture of 1 KG be x kg ⇒ Amount of Gujarat sugar in 1 kg mixture = (1 – x) kg ⇒ Total COST price of 1 kg mixture = 25x + 30(1 – x) = 30 – 5X Now, for 20% profit ⇒ S.P = (120/100) × C.P ⇒ 34 = 120C.P/100 But, C.P = 30 – 5x ⇒ 34 = 120(30 – 5x)/100 ⇒ 17 = 3(6 – x) ⇒ 17 = 18 – 3x ⇒ 3x = 1 ⇒ x = 1/3 ⇒ 1 – x = 1 – 1/3 = 2/3 ∴ So the desired ratio is x : (1 – x) = 1 : 2 |
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