Question

A vendor purchased bananas at ₹ 40 per dozen and sold them at 10 for ₹ 36. Find his gain or loss per cent.

Answer 1

LCM of 12 and 10 = 60
Let the number of banana bought be 60.
CP of 12 banana = ₹40
∴ CP of 1 banana = $\frac{40}{12}=₹\frac{10}{3}$
⇒ CP of 60 bananas = $60\times \frac{10}{3}=₹200$
SP of 10 bananas = ₹36
∴ SP of 1 banana = $\frac{36}{10}=₹\frac{18}{5}$
⇒ SP of 60 bananas = $60\times \frac{18}{5}=₹216$
Here, SP of 60 bananas > CP of 60 bananas.
Profit = SP − CP = ₹216 − ₹200 = ₹16
∴ Profit% = $\frac{\mathrm{Profit}}{\mathrm{CP}}\times 100\%=\frac{16}{200}\times 100=8\%$