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- Standard 13
- Quantitative Aptitude
Paras Health Care made $3000$ strips of vitamin tablets at a cost of $Rs.$ $4800 .$ The company gave away $1000$ strips of tablets to doctors as free samples. A discount of $25 \%$ is given on the printed price. Find the ratio of profit in $Rs.$ if the price is raised from $Rs.\, 3.25$ to $Rs.\, 4 .25$ per strip and if at the latter price, samples to doctors were done away with.
$36.7$
$49.3$
$63.5$
$71.7$
Solution
Case $1:$ If Rate is $Rs. 3.25$
Total sales revenue $=2000 \times 3.25 \times 0.75=$ $Rs. 4875$
[Here $1000$ strips are given free of cost]
Profit $=$ Total sales revenue $- Rs. 4800$
$=$ $Rs.$ $4875-$ $Rs.$ $4800=$ $Rs. 75$
$Case\, 2:$ If rate is $Rs .4 .25$ Total sales revenue
$=3000 \times 4.25 \times 0.75=$ $Rs. 9562.5$
[Total $3000$ strips]
Profit = Total sales revenue$- Rs. 4800$
$=Rs.9562.5- Rs. 4800=Rs. 4762.5$
Hence, the ratio of profit is
$\frac{\text { New profit }}{\text { Old profit }}=\frac{4762.5}{75}=63.5$
