Question : Ankita sold three toys. The first toy was sold for INR 1,500 at a profit of 25%, the second toy was sold for INR 2,800 at a loss of 50% and the third toy was sold for INR 3,500 at a profit of 25%. Find her total profit or loss percentage.

Option 1: 15.25% loss

Option 2: 15.25% profit

Option 3: 18.75% profit

Option 4: 18.75% loss

Correct Answer: 18.75% loss

Solution : Given,
Ankita sold three toys.
The first toy was sold for INR 1,500 at a profit of 25%; the second toy was sold for INR 2,800 at a loss of 50% and the third toy was sold for INR 3,500 at a profit of 25%.
CP = Cost Price
SP = Selling Price
For the first toy:
$CP_1 = \frac{100}{100\ +\text{ Profit percentage}}×SP_1$
⇒ $CP_1 = \frac{100}{100+25}×1500$
⇒ $CP_1 = \frac{100}{125}​×1500$
⇒ $CP_1 = \frac45×1500$
⇒ $CP_1 = 1200$
For the second toy:
$CP_2 = \frac{100}{100\ −\text{ Loss percentage}}×SP_2$
⇒ $CP_2 = \frac{100}{100−50}×2800$
⇒ $CP_2 = \frac{100}{50}×2800$
⇒ $CP_2 = 2×2800$
⇒ $CP_2 = 5600$
For the third toy:
$CP_3 = \frac{100}{100\ +\text{Profit percentage}}×SP_3$
⇒ $CP_3 = \frac{100}{100+25}×3500$
⇒ $CP_3 = \frac45×3500$
⇒ $CP_3 = 2800$
Total CP = $CP_1+CP_2+CP_3$
⇒ Total CP = 1200 + 5600 + 2800
⇒ Total CP = 9600
Total SP = $SP_1+SP_2+SP_3$
⇒ Total SP = 1500 + 2800 + 3500
⇒ Total SP=7800
Profit or loss = Total SP − Total CP
⇒ Profit or loss = 7800−9600
⇒ Profit or loss = −1800
Since the value is negative, there is a loss of INR 1800.
Percentage loss = $\frac{\text{Loss}}{\text{Total CP}}×100$
⇒ Percentage loss = $\frac{1800}{9600}×100$
⇒ Percentage loss = 18.75%
Hence, the correct answer is 18.75% loss.