Multiple choice

Ashok purchased two qualities of grains at the rate of Rs 100 per quintal and Rs 160 per quintal. In 50 quintals of the second quality, how much grain of the first quality should be mixed so that by selling the resulting mixture at Rs 195 per quintal, he gains a profit of 30%?

  1. 10 quintals

  2. 14 quintals

  3. 20 quintals

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Selling price = 195. Profit = 30%, so cost price = 195 / 1.3 = 150. Using the mixture rule: (160-150) / (150-100) = 10/50 = 1/5. So 1 part of 100-grain for 5 parts of 160-grain. 50/5 = 10 quintals.

AI explanation

The selling price of Rs. 195 includes a 30% profit, so the cost price of the mixture is 195 divided by 1.3, which is Rs. 150 per quintal. Using the rule of alligation with the two costs of Rs. 100 and Rs. 160 against the mean price of Rs. 150 gives a ratio of (160 - 150) to (150 - 100), which is 10:50 or 1:5. Since the 5 parts correspond to the 50 quintals of the second quality, the 1 part of the first quality needed is 10 quintals.

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