Question

Oranges are bought at 6 for ₹ 20 and sold at 4 for ₹ 18. Find the gain or loss per cent.

Answer 1

LCM of 6 and 4 = 12
Let the number of oranges bought be 12.
CP of 6 oranges = ₹20
So, CP of 1 orange = $\frac{20}{6}=₹\frac{10}{3}$
CP of 12 orange = $12\times \frac{10}{3}=₹40$
SP of 4 oranges = ₹18
SP of 1 orange = $\frac{18}{4}=₹\frac{9}{2}$
SP of 12 oranges = $12\times \frac{9}{2}=₹54$
Here, SP of 12 oranges > CP of 12 oranges.
Profit = SP − CP = ₹54 − ₹40 = ₹14
∴ Profit% = $\frac{\mathrm{Profit}}{\mathrm{CP}}\times 100\%=\frac{14}{40}\times 100\%=35\%$