CAT 2023 Alligations and Mixtures Question (Medium)

Question

Shopkeeper mixes two types of sugar. If the mixes them in the ratio 3 2, his profit is 10 and if he mixes them in the ratio 2 3, his profit is 5 . If the selling price of the mixture is Rs 40, then find the ratio of cost prices of both types of sugar.

Optima Learn · Accepted Answer

Understanding the Setup Let cost prices of the two sugar types be p and q. Case 1 3 2 ratio 3p 2q 5 1.10 40. Case 2 2 3 ratio 2p 3q 5 1.05 40. Analyzing and Solving From case 1 3p 2q 2000 11. From case 2 2p 3q 4000 21. Solving simultaneously gives p 7600 231, q 9600 231. Evaluating the Options a 2 3

CAT 2023 Alligations and Mixtures — Previous Year Question

CAT 2023

Quantitative

Alligations and Mixtures

Medium

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