Question

Three articles are sold for Rs. 1,890; Rs. 2,400 and Rs. 1,135 respectively. The first article is sold at 12.5% profit and the second at 20% profit. If on the whole a loss of $3\frac{1}{8}$ is made, find the cost price of the third article.

Answer 1

C.P of first article =$\frac{100\times 1890}{112.5}=1680$
C.P of second article =$\frac{100\times 2400}{120}=2000$
Lets C.P of third article is X
Total cost price of three articles =$1680+2000+X=3680+X$
As per question Total sales price =$1890+2400+1135=5425$
Loss =$ (3680+X) - 5425 =X-1745 \left ( X-1745 \right )\times 100\div \left ( 3680+X \right )$=$ \frac{25}{8} $
X=1920