1. Tardigrade
  2. Question
  3. Mathematics
  4. A merchant gets ₹ 1160 by selling article mathrmA at 30 % profit and B at 20 % loss. He gets the same amount if he sells mathrmA at 20 % loss and B at 5 % profit. The cost price of article B is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A merchant gets $₹ 1160$ by selling article $\mathrm{A}$ at $30 \%$ profit and $B$ at $20 \%$ loss. He gets the same amount if he sells $\mathrm{A}$ at $20 \%$ loss and B at $5 \%$ profit. The cost price of article $B$ is__

Ratio, Proportion and Variation

Solution:

Let the cost price of articles A and B be $a$ and $b$, respectively.
Given, $1.4 a+0.7 b=1050$(1)
$0.8 a+1.15 b=1050$(2)
$0.8 \times \text { Eq. (1) }-1.4 \times \text { Eq. (2) }$
$1.12 a+0.56 b =840 $
$1.12 a+1.61 b =1470$
$1.05 b =630 $
$b =630 / 1.05=600$