Question

A bakery bakes cake with the expectation that it will earn a profit of $40\%$ by selling each cake at marked price. But during the delivery to showroom $16\%$ of 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?

• A. $3.2$
• B. $2.4$
• C. $2.8$
• D. $4.2$
• E. $3.6$

Answer 1

The correct option is A $3.2$

Let no. of cakes be $100$ and each cake is Rs. $100$
Then, C.P. $=100\times 100=$ Rs. $10000$

He will earn profit $=40\%$
MP of each cake $=$ Rs. $140$
Now S.P. of $24$ cakes $=$ $24\times \frac{80}{100}\times 100=$Rs. $1920$
S.P. of $60$ cakes $=$ $60\times 140=$ Rs. $8400$
Total S.P. $=8400+1920=$ Rs. $10320$
Profit $=10320-10000=320$
Required Profit $\%$ $=\frac{320}{10000}\times 100=3.2\%$