How much chicory at Rs 5 a kg should be added to 20 kg of coffee at Rs 12 a kg so that the mixture b......

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How much chicory at Rs. 5 a kg should be added to 20 kg of coffee at Rs. 12 a kg so that the mixture be worth Rs. 7.50 a kg.?

21 kg

15 kg

36 kg

42 kg

Explanation:

Ratio in which coffee and chicory should be mixed
= 12 – 7.5 : 7.5 – 5

= 4.5 : 2.5 ⇒ 9 : 5.
Let x be quantity at 4/kg. ∴ 9 : 5 = x : 20

⇒ x = 36kg.

Hence, option 3 is the correct answer.

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