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In what ratio should tea costing Rs. 300/kg be mixed with tea costing Rs. 200/kg so that the cost of the mixture is Rs. 225/kg?

In what ratio should tea costing Rs. 300/kg be mixed with tea costing Rs. 200/kg so that the cost of the mixture is Rs. 225/kg? Correct Answer 1 : 3

Trick:

⇒ Difference between the prices of two tea (a) = 300 - 200 = 100

⇒ Difference between the net price and cheapest (b) = 225 - 200 = 25

∴ Required percentage = b/(b - a) = 25/75 = 1/3

Detailed Solution:

let amount of Rs. 300/kg tea added be x and Rs. 200/kg added be 1

⇒ Total cost of tea = 300 × x + 200 × 1 = 200 + 300x

⇒ Amount of tea = 1 + x

⇒ Cost of per kg of mixed tea = Rs. 225

⇒ 200 + 300x = 225 × (1 + x)

⇒ 200 + 300x = 225 + 225x

⇒ 75x = 25

⇒ x = 1/3

∴ Required ratio = 1 ∶ 3

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