Multiple choice

A grocer mixed sugar at Rs. 12 per kg with sugar at Rs. 9 per kg in a certain ratio and sold the mixture at Rs. 11 per kg to have a gain of 1/8th of his total investment. The ratio of two types of sugar in the mixture is-

  1. 7 : 20

  2. 9 : 12

  3. 1 : 2

  4. 3 : 4
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the ratio be x:y (Rs. 12/kg : Rs. 9/kg). Cost per kg of mixture = (12x + 9y)/(x+y). Sold at Rs. 11/kg with gain of 1/8 of investment. So SP = CP + (1/8)CP = (9/8)CP. Therefore CP = (8/9)×11 = 88/9 ≈ 9.78. Equation: (12x + 9y)/(x+y) = 88/9. Cross-multiply: 9(12x+9y) = 88(x+y). 108x + 81y = 88x + 88y. 20x = 7y. So x:y = 7:20. This is option A.

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