Mixtures & Alligations Question Answers

Mixtures and Alligation - Quant/Math - CAT 2008

Question 4 the day: October 11, 2002
The question for the day is from the topic of Mixtures and Alligation.

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

(1)

20 kgs

(2)

12.5 kgs

(3)

16 kgs

(4)

200 kgs

Correct Answer - (1)

 

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Solution:

Let the amount of Basmati rice being mixed be x kgs. As the trader makes 25% profit by selling the mixture at Rs.40/kg, his cost /kg of the mixture = Rs.32/kg.

i.e. (x * 42) + (25 * 24) = 32 (x + 25)
=> 42x + 600 = 32x + 800
=> 10x = 200 or x = 20 kgs.