Question : If the ratio of cost price and the selling price is 5 : 6, then the gain percent is:
Option 1: $20\%$
Option 2:
$33\frac{1}{3}\%$
Option 3:
$25\%$
Option 4:
$30\%$
Correct Answer: $20\%$
Solution :
Given that the ratio of the cost price and selling price of an article is 5 : 6.
Let the selling price be 6k and the cost price be 5k.
Profit = 6k – 5k = k
$\therefore$ Profit percentage $=\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{k}{5k}×100=20\%$
Hence, the correct answer is $20\%$.
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