###
**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. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

$\begin{aligned}\mathrm{SP}&=X+15\%\text{ of }X&\\
&=\frac{115X}{100}&\\
&=\text{ Rs. }\frac{23x}{20}&\\
&\text{New CP}=x-25\%\ \text{of}\ X&\\
&=\frac{75x}{100}=\frac{3x}{4}&\\
&\text{New SP}=\frac{3x}{4}+32\%\ \text{of}\ \frac{3x}{4}&\\
&=\text{Rs.}\ \frac{99x}{100}&\\
&\text{According to the question,}&\\
&\frac{23x}{20}-\frac{99x}{100}=600&\\
&\text{ Or, }\frac{115x-99x}{100}=600&\\
&16x=600\times100&\\
&X=600\times\frac{100}{16}&\\
&=\text{ Rs. }3750&\end{aligned}$

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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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### 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