Question

A table was sold at a gain of 10 per cent. Had it been sold for Rs. 30 more, the gain would have been 15%. Find the C.P. of the table.

• A. Rs. $400$
• B. Rs. $500$
• C. Rs. $600$
• D. Rs. $700$

Answer 1

The correct option is C Rs. $600$

For the first situation,
Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=10$
$=>S.P.-C.P.=0.1C.P.$
$=>S.P.=1.1C.P$ --- (1)

For the second situation, Selling price $=$ Selling price of 1st situation $+Rs30$
And Cost price is same

So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=15$
$=>\frac{S.P.+30-C.P.}{C.P.}\times 100=15$
$=>S.P.+30-C.P=0.15C.P.$
$=>S.P.=1.15C.P-30$ --- (2)

From, equations 1, 2
$1.1C.P.=1.15C.P-30$
$=>0.05C.P.=30$
$C.P.=Rs600$

Thus, cost price of the table $=Rs600$