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- Standard 13
- Quantitative Aptitude
$APD$ printed $3000$ copies of 'Career Power' at a cost of $Rs.$ $240000 .$ It gave $500$ copies free to different philanthropic institutions. It allowed a discount of $25 \%$ on the published price and gave one copy free for every $25$ copies bought at a time. It was able to sell all the copies in this manner. If the published price is $Rs.$ $325,$ then what is its overall gain or loss percentage in the whole transaction?
$89 \%$ gain
$120 \%$ loss
$140 \%$ loss
$143.75 \%$ gain
Solution
cost price $=$ $Rs. 240000$ [Total $3000$ copies]
Published price $= Rs. 325$ [ Published price]
Selling price $=\frac{75}{100} \times 325=$ $Rs. 243.75$
No. of free copies $=500+\frac{2500}{25}=500+100=600$
So, total selling price $=2400 \times 243.75=$ $Rs. 585000$
Hence, percentage gain $=\frac{585000-240000}{240000} \times 100$
$=\frac{345000}{240000} \times 100=143.75 \%$
Hence, the overall gain is $143.75 \% .$
