Question : The ratio in which a man must mix rice at Rs. 10.20 per kg and Rs. 14.40 per kg to make a mixture worth Rs. 12.60 per kg, is:
Option 1: 4 : 3
Option 2: 2 : 5
Option 3: 18 : 24
Option 4: 3 : 4
Correct Answer: 3 : 4
Solution :
Given:
The price of first rice = Rs. 14.40
The price of the second rice= Rs. 10.20
The price of the mixture to be made = Rs. 12.60
The difference between the mixture cost and the first rice cost = 14.40 - 12.60 = 1.80
The difference between the mixture cost and the second rice cost = 12.60 - 10.20 =2.4
Thus, the required ratio = $\frac{1.8}{2.4}$ = $\frac{3}{4}$ = 3 : 4
Hence, the correct answer is 3: 4.
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