Quantitative Aptitude Ques 2273

Question: Two vessels A and B contain milk and water mixed in the ratio 8: 5 and 5: 2, respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $ 69\frac{3}{13}% $ milk is,

Options:

A) 2 : 7

B) 3 : 5

C) 5 : 2

D) 5 : 7

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let cost of 1 L milk be Rs. 1. Milk in 1 L mixture in $ A=Rs.\frac{8}{13}L, $ CP of 1 L mixture in $ A=Rs.,\frac{8}{13} $ Milk in 1 L mixture in $ B=\frac{5}{7}L, $ CP of 1 L mixture in $ B=Rs.,\frac{5}{7} $ Milk in 1 L of final mixture $ =( \frac{900}{13}\times \frac{1}{100}\times 1 )=\frac{9}{13}L $ Mean price $ =Rs.\frac{9}{13} $ By the rule of alligation, we have

$ \therefore $ Required ratio $ =\frac{2}{91}:\frac{1}{13}=2:7 $