###
**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 C**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Let the original price of tea be Rs. x kg}\\
\text{After reduction of the price becomes }\\
\text{= x – 10% of x = }\frac{9x}{10}\ \text{per kg}\\
\text{Now,}\\
\frac{22500}{\frac{9x}{10}}-\frac{22500}{x}=25\\
\text{or,}\ 22500\left[\frac{10}{9x}-\frac{1}{x}\right]=25\\
\text{or,}\ 25\times9x=22500\\
\text{or,}\ x=\frac{22500}{25\times9}=\text{Rs.}\ 100\\
\text{Hence, new price }\\
\text{= 90 per kg}\end{array}$

## Related Questions on Profit and Loss

### A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:

A. 45 : 56B. 45 : 51

C. 47 : 56

D. 47 : 51

### By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

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### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

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C. A makes a profit of 20%

D. B loses 20%

### A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was.

A. Rs. 3,750B. Rs. 3,250

C. Rs. 2,750

D. Rs. 2,250