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- Standard 13
- Quantitative Aptitude
A bakery bakes cake with the expectation that it will earna profit of $40 \%$ by selling each cake at marked price. But during the delivery to showroom $16 \%$ of the cakes were completely damaged and hence could not be sold. $24 \%$ of the cakes were slightly damaged and hence could be sold at $80 \%$ of the cost price. The remaining $60 \%$ of the cakes were sold at marked price. What is the percentage profit in the whole consignment?
$3.2$
$2.4$
$2.8$
$4.2$
Solution
Let, the number of cakes be $100.$
Let, each cake's cost price be $₹ 100$.
Then, total cost price $=₹(100 \times 100)=₹ 10000$
Now, market price of each cake $=\frac{100 \times 140}{100}=₹ 140$
Now, selling price of $24$ cakes $=24 \times \frac{100 \times 80}{100}=₹ 1920$
And selling price of $60$ cakes $=60 \times 140=Rs.8400$
$\therefore$ Total selling price $=8400+1920=₹ 10320$
Profit $=10320-10000=320$
: Required $\%$ profit $=\frac{320}{10000} \times 100=3.2 \%$
