Question

A businessman sold two cars for Rs. $9900$ each, making $10$% profit on one and losing $10$% on the other. His gain or loss per cent on the two cars is:

• A. No gain, no loss
• B. Loss of $1$%
• C. Gain of $1.5$%
• D. Gain of $2$%

Answer 1

The correct option is B Loss of $1$%

In the first case he gains 10%
$\therefore$ C. P. of the first car
$=\frac{100\times 9900}{110}=Rs.9000$
In the second case he loses 10%
$\therefore$ C. P. of the second car
$=\frac{100\times 9900}{90}=Rs.11000$
$\therefore$ Total cost of both cars
$=9000+11000=Rs.20000$
$\therefore$ Total S. P. of both cars
$=2\times 9900=Rs.19800$
$\therefore$ Total loss $=20000-19800=Rs.200$
$\therefore$ % of loss $=\frac{200\times 100}{20000}=1\%$