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 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?

A. 3.2

B. 2.4

C. 2.8

D. 4.2

E. 3.6

Solution(By Examveda Team)

Let no of cakes be 100 and each cake is Rs. 100
Then, CP = 100 x 100 = Rs. 10000
MP of each cake = 14000/100 = Rs. 140
Now SP of 24 cakes
24 x [(100 x 80) / 100] = Rs. 1920
and
SP of 60 cakes = 60 x 140 = Rs. 8400
Total SP = 8400+1920 = Rs. 10320
Profit = 10320 - 10000 = 320
Req. Profit % = (320 / 10000) x 100 = 3.2%