Question

A man bought apples at 10 for ₹ 75 and sold them at ₹ 75 per dozen. Find his loss per cent.

Answer 1

LCM of 10 and 12 = 60
Let the number of apples bought be 60.
CP of 10 oranges = ₹75
∴ CP of 1 orange = $₹\frac{75}{10}$
⇒ CP of 60 orange = $60\times \frac{75}{10}=₹450$
SP of 12 oranges = ₹75
∴ SP of 1 orange = $₹\frac{75}{12}$
⇒ SP of 60 oranges = $60\times \frac{75}{12}=₹375$
Here, CP of 60 oranges > SP of 60 oranges.
Loss = CP − SP = ₹450 − ₹375 = ₹75
∴ Loss% = $\frac{\mathrm{Loss}}{\mathrm{CP}}\times 100\%=\frac{75}{450}\times 100\%=16\frac{2}{3}\%$