The cost price of an article is 80% of its marked price for sale. How much per cent does the tradesman gain after allowing a discount of 12%?
A. Rs. 70 B. Rs. 80 C. Rs. 90 D. Rs. 100 Answer: Option CShow Answer
Solution(By Apex Team)
$\begin{array}{l}\text{Let the original price of tea be Rs. x kg}\\
\text{After reduction of the price becomes }\\
\text{= x – 10% of x = }\frac{9x}{10}\ \text{per kg}\\
\text{Now,}\\
\frac{22500}{\frac{9x}{10}}-\frac{22500}{x}=25\\
\text{or,}\ 22500\left[\frac{10}{9x}-\frac{1}{x}\right]=25\\
\text{or,}\ 25\times9x=22500\\
\text{or,}\ x=\frac{22500}{25\times9}=\text{Rs.}\ 100\\
\text{Hence, new price }\\
\text{= 90 per kg}\end{array}$
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