Multiple choice

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:

  1. Both Statement I and Statement II are true.

  2. Both Statement I and Statement II are false.

  3. Statement I is true, but Statement II is false.

  4. Statement I is false, but Statement II is true.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: Using alligation, (20 - 16.5) / (16.5 - 15) = 3.5 / 1.5 = 7/3. This is true. Statement II: Using alligation for 1000kg, (16 - 14) / (14 - 8) = 2/6 = 1/3. Total parts = 4. 1 part = 250kg. The quantity at 16% is 3 parts = 750kg. This is true.

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