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In what ratio should Darjeeling Tea costing Rs. 400 per kg be mixed with Assam Tea costing Rs. 300 per kg, so that by selling the mixture at Rs. 408 per kg there is gain of 20%.
- A1 : 2
- B2 : 3
- C2 : 5
- D1 : 6
Answer not set
Discussion 1
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CCommunity
From the given data,
Selling price of mixture is Rs. 408 per kg
Profit% = (selling price/Cost price – 1) × 100
⇒ 20 = (408/Cost price – 1) × 100
⇒ 0.2 + 1 = 408/Cost price
⇒ Cost price of mixture = 408/1.2 = Rs.340 per kg
∴ Ratio of Assam Tea to the Darjeeling Tea = (340 - 300) : (400 - 340) = 40 : 60 = 2 : 3
so, answer is 2 : 3
Selling price of mixture is Rs. 408 per kg
Profit% = (selling price/Cost price – 1) × 100
⇒ 20 = (408/Cost price – 1) × 100
⇒ 0.2 + 1 = 408/Cost price
⇒ Cost price of mixture = 408/1.2 = Rs.340 per kg
∴ Ratio of Assam Tea to the Darjeeling Tea = (340 - 300) : (400 - 340) = 40 : 60 = 2 : 3
so, answer is 2 : 3