Quantitative Aptitude Ques 1892

Question: By mixing two quantities of sugar in the ratio 2: 3 and selling the mixture at the rate of Rs. 22 per kg, a shopkeeper make a profit of 10%. If the cost of the smaller quantity be Rs. 14 per kg, then the cost of the larger quantity is

Options:

A) 23

B) 24

C) 25

D) 200

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ Gain $ % $ =\frac{(a+b)z-(ax-by)}{ax+by}\times 100 $ % Here, $ a=2, $ $ b=3, $ $ z=22, $ $ x=14 $ and $ y=? $ $ 10=\frac{(2+3)\times 22-(2\times 14+3\times y)}{2\times 14+3\times y}\times 100% $

$ \Rightarrow $ $ 28+3y={110-(28+3y)}\times 10 $

$ \Rightarrow $ $ 28+3y=820-30y $
$ \Rightarrow $ $ 33y=792 $

$ \Rightarrow $ $ y=24perkg $