Question:
Tick (✓) the correct answer:
Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain per cent is
(a) 25%
(b) 50%
(c) 75%
(d) 125%
Solution:
(d) 125%
Cost price of a banana $=\mathrm{Rs} \frac{2}{3}$
Selling price of a banana $=\mathrm{Rs} \frac{3}{2}$
Now, profit $=\mathrm{Rs}\left(\frac{3}{2}-\frac{2}{3}\right)=\mathrm{Rs} \frac{9-4}{6}=\mathrm{Rs} \frac{5}{6}$
$\therefore$ Gain percentage $=\frac{\text { gain }}{\mathrm{CP}} \times 100$
$=\frac{\left(\frac{5}{6}\right)}{\left(\frac{2}{3}\right)} \times 100$
$=\frac{5}{6} \times \frac{3}{2} \times 100$
$=\frac{5}{4} \times 100$
$=5 \times 25$
$=125 \%$
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