In mixing tea 1 kg in every 100 kg is wasted. In what proportion must a dealer m

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In mixing tea 1 kg in every 100 kg is wasted. In what proportion must a dealer mix teas which cost him Rs 24 and Rs 18 per kg respectively, so that the cost comes to Rs 20 per kg?

Options:

A . 3 : 5

B . 5 ; 3

C . 3 ; 7

D . 7 : 3

Answer: Option C

Let the quantities of teas costing Rs. 24 per kg and Rs. 18 per kg be x and y respectively.
• The total cost of mixing them together = (24x + 18y)
• The total quantity of mixture = (x + y)
• The total cost of 100 kg of the mixture = (24x + 18y) × 100 kg
• Therefore, the cost of 1 kg of the mixture = (24x + 18y) / (x + y)
• Given that cost of 1 kg of the mixture = Rs. 20
• Therefore, (24x + 18y) / (x + y) = 20
• 24x + 18y = 20(x + y)
• 24x = 20x + 20y – 18y
• 6x = 20y
• x/y = 20/6
• x/y = 3/7
• Therefore, the ratio of teas costing Rs. 24 and Rs. 18 per kg should be 3:7.

Hence, Option C 3 ; 7 is the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .

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Priya 2022-09-22 03:05:32

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The answer seems to be very useful

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