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 $