Question

Question 96

Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Answer 1

Selling price of each cooler = Rs. 3990
Let Rs. x be the cost price of both coolers for Ashime.
If Ashima gets 5% gain on transaction of first cooler.
Then, $3990=x+x\times \frac{5}{100}[\because profit=SP-CP]\Rightarrow 3990=\frac{21x}{20}\Rightarrow x=\frac{3990\times 20}{21}=190\times 20=Rs.3800$
Also, on the another transaction of other cooler she has a loss of 5%.
Then, 3990 = $x-\frac{x\times 5}{100}$ [$\because$ loss = CP - SP]
$\Rightarrow 3990=\frac{19x}{20}\Rightarrow x=\frac{3990\times 20}{19}=210\times 20=Rs.4200$
So, the total cost price for Ashima = Rs. 3800 + Rs. 4200 = Rs. 8000
Ashima sold both coolers =Rs. 3990 $\times$ 2 = Rs. 7980
Here, CP > SP. So, Ashima has loss on overall transaction.
$\because$ Loss = Rs. 8000 - Rs. 7980 = Rs. 20
$\therefore$ Loss % = $\frac{20}{8000}\times 100=\frac{2000}{8000}=\frac{1}{4}\%=0.25\%$