XAT 2022 — QA & DI Question 4
Sheela purchases two varieties of apples - A and B - for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio 5 : 8 but the cost per kg of A is 20% more than that of B. Sheela sells A and B with profits of 15% and 10% respectively. What is the overall profit in Rupees?
Answer & solution
340
- B
600
- C
240
- D
480
- E
380
The two types of apples sold A and B are bought in the ratio of 5: 8.
Considering the weights to be 5x and 8x.
The cost price of A is 20 percent higher than that of B.
Considering the cost price of B = y, A = 6y/5.
The total cost price of A = (5x) â
The total cost price of B = (8x) â (y)
THe total cost price = 8xy + 6xy = 14xy
14xy = 2800.
xy = 200.
THe cost price of A = 1200.
THe cost price of B = 1600.
A is sold a profit of 15 percent. 15 percent of 1200 = 180.
B is sold at a profit of 10 percent. 10 percent of 1600 = 160.
The total profit is 180 + 160
= 340