Question: A fruit seller buys lemons at 2 at Rs. 1 and sells them at 5 for Rs. 3. His profit per cent is
Options:
A) 10
B) 15
C) 20
D) 25
Show Answer
Answer:
Correct Answer: C
Solution:
- Cost price of one lemon $ =Rs\text{.}\frac{1}{2} $
Selling price of one lemon $ =Rs\text{.}\frac{3}{5} $
Profit $ =SP-CP=\frac{3}{5}-\frac{1}{2}=\frac{6-5}{10}=\frac{1}{10} $
Profit% $ =\frac{Profit\times 100}{CP}=\frac{\frac{1}{10}\times 100}{1/2}=20% $
Alternate Method
Suppose number of lemons bought = LCM of 2, 5 and 3 = 30
$ \therefore $ $ CP=Rs\text{.}( \frac{1}{2}\times 30 )=Rs\text{.15} $
$ SP=Rs\text{.}( \frac{3}{5}\times 30 )=Rs\text{.18} $
$ Profit=Rs.3 $
$ Profit=\frac{3\times 100}{15}=20% $