Question

Ramji sold an article at a loss of $8$ percent. Had she bought it at $10$% less and sold for Rs. $72$ more; she would have gained $20$%. Find the cost price of the article.

• A. $400$
• B. $450$
• C. $500$
• D. $550$

Answer 1

Answer: (B)

$450$

Let the $C.P=Rs.100$

$Loss=8\%$

$S.P=C.P\times \frac{(100-Loss)}{100}$

$=100\times \frac{92}{100}=Rs.92$

Now, if she had bought it for $10\%$ less

$C.P=100-100\times \frac{10}{100}=Rs.90$

$Gain=20\%$

$S.P=C.P\times \frac{(100+P)}{100}=\frac{90\times 120}{100}=Rs.108$

Now, we can see that the difference in $S.P^{\prime }s$ on assumed $C.P(Rs.100)=108-92=Rs.16$

Actual $S.P$ difference has to be $Rs.72$

$16\left(difference\right)=100(C.P)$

$72\left(difference\right)=x(C.P)$

$x=72\times \frac{100}{16}=Rs.450$

Hence, this is the answer.