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- Quantitative Aptitude
Surbhi bought a combined total of $25$ i-pads and i-phones. She marked up the i-pad by $20 \%$ on the cost price, while each i-phone was marked up by $Rs.\, 2000.$ She was able to sell $75 \%$ of the i-pads and $2$ i-phones and make a profit of $Rs.$ $49000 .$ The remaining i-pads and $3$ i-phones could not be sold by her. Find her overall profit or loss if she gets no return on unsold items and it is known that an i-phone costs $50 \%$ of an i-pad.
Gain of $Rs.\,48500$
Loss of $Rs.\,48500$
Gain of $Rs.\, 51400$
no profit, no loss
Solution
There were $5$ i-phones $(2+3)$ and $20$ i-pads.
Surbhi sells $2$ i-phones for a profit of $Rs. 2000$
each. Hence, profit from i-phone sales $=$ $Rs. 4000$
Then, profit from i-pads sales $=$ $Rs. 45000$
Thus, profit per i-pad $=\frac{45000}{15}=$ $Rs. 3000$
(Since, $15$ i-pads were sold in all.)
Hence, $CP$ of i-pad $= Rs. 15000$
$CP$ of i-phone $=$ $Rs. 7500$
Total cost $=$ Rs. $15000 \times 20+$ Rs. $7500 \times 5$
$=$ $Rs$ $300000+$ Rs. $37500=$ $Rs. 337500$
[If only $75 \%$ of i-pads and $2$ i-phones were sold] .
Total revenue $=$ Rs. $18000 \times 15+$ Rs. $9500 \times 2$
$=$ $Rs$. $270000+$ $Rs.$ $19000=$ $Rs. 289000$
since, total revenue is less than total cost, there is a loss.
Hence, loss $=Rs. 337500- Rs.289000=Rs. 48500$
Thus, Surbhi has an overall loss of $Rs. 48500 .$
