CAT 2025 Allegations and Mixtures Question (Hard)

Question

A mixture of coffee and cocoa, 16 of which is coffee, costs Rs 240 per kg. Another mixture of coffee and cocoa, of which 36 is coffee, costs Rs 320 per kg. If a new mixture of coffee and cocoa costs Rs 376 per kg, then the quantity, in kg, of coffee in 10 kg of this new mixture is

Accepted Answer

Let coffee price C Rs kg and cocoa price K Rs kg. From the two given mixtures 0.16C 0.84K 240 0.36C 0.64K 320 Multiply both equations by 100 to remove decimals 16C 84K 24000 36C 64K 32000 Subtract the first from the second 36C 64K - 16C 84K 32000-24000 20C - 20K 8000 implies C - K 400 Put C K 400 in

CAT 2025

Quantitative

Allegations and Mixtures

Hard

A mixture of coffee and cocoa, 16% of which is coffee, costs Rs 240 per kg. Another mixture of coffee and cocoa, of which 36% is coffee, costs Rs 320 per kg. If a new mixture of coffee and cocoa costs Rs 376 per kg, then the quantity, in kg, of coffee in 10 kg of this new mixture is

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