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A man sells an article at a gain of $15\%$ Had he bought it at $10\%$ less and sold it for  ₹ $4$ less, he would have gained $25\%$. The cost price of the article is :

  1. ₹ $140$
  2. ₹ $150$
  3. ₹ $160$
  4. ₹ $180$
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Answer is C

Case 1

Let CP = x, P=15%, so SP =$\frac{115x}{100}$

Case 2

CP = $\frac{90x}{100}$, P=25%,  SP = $\frac{115x}{100}-4$

CP * $\frac{125}{100}$ = SP, substituting for CP and SP from above,

$\frac{90x}{100}$* $\frac{125}{100}$ =$\frac{115x}{100}-4$

On solving, we will get x = Rs.160

 

 

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