Question

A dealer sold two T.V. sets for Rs 2,400 each, gaining 20% on one set and losing 20% on the other set. Find his net gain or loss and also express it as a percentage.

• A. Loss = Rs. 120. loss % = 1%
• B. Loss = Rs. 150. loss % = 2%
• C. Loss = Rs. 190. loss % = 3%
• D. Loss = Rs. 200. loss % = 4%

Answer 1

The correct option is D Loss = Rs. 200. loss % = 4%

Given, for the first TV
$S.P=Rs2,400$
Profit $=20$ %
Now, with this S.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=20$ %
$=>\frac{2,400-C.P.}{C.P.}\times 100=20$
$=>2,400-C.P.=0.20C.P.$
$1.20C.P.=2,400$
$=>C.P.=Rs2,000$

And for another TV,
$S.P=Rs2,400$
Loss $=20$ %

So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=20$
$=>\frac{C.P.-2,400}{C.P}\times 100=20$
$=>C.P.-2,400=0.20C.P.$
$=>0.8C.P=2,400$
$=>C.P.=Rs3,000$


Total C.P. of both TVs = $Rs2,000+Rs3,000=Rs5,000$

And Total S.P. $=Rs2,400+Rs2,400=Rs4,800$

Since Total S.P. < Total C.P. there will be a loss
And Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=\frac{5,000-4,800}{5,000}\times 100=4$ %