Question

Renu sold an article at a loss of $8$ percent. Had she bought it at $10$% less and sold for Rs. $36$ more; she would have gained $20$%. Find the cost price of the article.

• A. Rs. $225‘$
• B. Rs. $235$
• C. Rs. $245$
• D. Rs. $255$

Answer 1

The correct option is A Rs. $225‘$

For the first situation,
Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=8$
$=>C.P.-S.P.=0.08C.P.$
$=>S.P.=0.92C.P$ --- (1)
For the second situation, Selling price $=$ Selling price of 1st situation $+Rs36$
And Cost price is $10$ % less or $90$ % of C.P. $=0.9C.P.$
So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=20$

$=>\frac{(S.P.+36)-0.9C.P.}{0.9C.P.}\times 100=20$

$=>(S.P.+36)-0.9C.P.=0.18C.P.$
$=>S.P.=1.08C.P-36$ --- (2)
From, equations 1, 2
$0.92C.P.=1.08C.P-36$
$=>0.16C.P.=36$
$C.P.=Rs225$
Thus, cost price of the article $=Rs225$