In what ratio must a grocer mix 2 varieties of tea worth Rs 60 a kg and 65 a…
2024
In what ratio must a grocer mix 2 varieties of tea worth Rs 60 a kg and 65 a kg so that by selling the mixture at Rs 74.4 a kg, he may gain 20 % ?
- A.
3:5
- B.
4:3
- C.
3:2
- D.
5:3
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Correct answer: C
Key idea: find the required cost price per kg from the selling price and then use the allegation method to get the mixing ratio.
Step 1: Find the cost price per kg that gives 20% profit at selling price 74.4: cost = 74.4 ÷ 1.20 = 62.
Step 2: Use allegation between the two varieties priced 60 and 65 to obtain the mean price 62. Compute differences: 65 − 62 = 3 and 62 − 60 = 2.
Step 3: The ratio of quantities of the Rs 60 tea to the Rs 65 tea is 3 : 2.
Answer: Mix the two varieties in the ratio 3:2.