Mixtures and Alligation Statements
CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Mixtures and Alligations
Given below are two statements :
Statement I : In order to get a mixture worth ₹ 16.5/kg, a grocer needs to mix two varieties of pulses costing ₹ 15 and ₹ 20 per kg respectively in the ratio 7 : 3.
Statement II : A merchant has 1000 kg rice, part of which he sells at 8 % profit and the rest at 16 % profit. He gains 14 % on the whole. The quantity of rice sold at 16 % profit is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
A
Explanation
Statement I: Weighted average price = . So Statement I is true.
Statement II: By alligation ratio of quantities at 8% and 16%: . Quantity sold at 16% profit = kg. So Statement II is true.
Hence, Option A is correct.
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