Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?
Correct answer: B. 4:1
- A. 3:1
- B. 4:1
- C. 3:4
- D. 4:3
Explanation
By alligation, the quantities of Rs.13 rice and Rs.19 rice are in the ratio (19 − 14.2):(14.2 − 13) = 4.8:1.2 = 4:1. Thus the cheaper first rice and the costlier second rice are mixed in the ratio 4:1. The likely mistake is option a, 3:1, from using rough differences rather than the exact price differences.
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