A sells an article to $ \mathrm{B} $ at a profit of $ 20 \% $. B sells it to $ C $ at a profit of $ 4 \% . $ What does it cost $ A $ if $ C $ has paid $ Rs. 624 ? $
Given :
A sells an article to B at 20% profit.
B sells it to C at 4 % profit.
C paid 624₹.
To Find :
Cost price at which A bought ?
Solution :
Lets take Cost price of B = Rs. B
Cost price of A = Rs. A
C paid to B Rs. 624
So, B sells for Rs. 624 at 4% profit.
104% of B = Rs. 624
$\frac{104}{100} \times B = Rs. 624$
B = Rs. $\frac{624\times100}{104}$
B = Rs. $6\times100 = 600$
B = Rs. 600
So, B buys it at Rs. 600 from A.
Selling price of A =Rs. 600
A sells it at 20% profit
120% of A = Rs. 600
$\frac{120}{100} \times A = Rs. 600$
A = Rs. $\frac{600\times100}{120}$
A = Rs. $5\times100 = 500$
A = Rs. 500
Cost price at which A bought = Rs. 500.
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