Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (19.06.2023) Shift-II
How many kilograms of sugar costing Rs 50 per kg should be mixed with 30 kg of sugar costing Rs 45 per kg so that the mixture is worth Rs 48 per kg?
A50 kg
B48 kg
C45 kg ✓ Correct
D42 kg
Correct answer: (C) 45 kg — The required amount is 45 kg, so the answer is 45 kg.
Explanation
★The required amount is 45 kg, so the answer is 45 kg.
★By the rule of alligation, compare each price with the mixture price of 48.
★The dearer sugar at 50 is 2 above the mean, and the cheaper at 45 is 3 below.
★So the ratio of cheaper to dearer sugar is 2 to 3.
★The cheaper sugar is 30 kg, which corresponds to 2 parts.
★So the dearer sugar for 3 parts is 30 times 3 over 2.
★That equals 45 kg.
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