Question

A trader purchased 20 apples. Half of the stock was sold at a profit of 10% and with that money he purchased five mangoes. After that he sold his entire stock at a profit of 20% thereby gaining Rs.21. Find the cost of each mango.

• A. Rs.11
• B. Rs.10
• C. Rs.5
• D. Rs.9
• E. Rs. 7

Answer 1

The Correct Option is A

The correct answer is option (A):

Rs.11

Let's break down this problem step by step to find the cost of each mango.

Let 'x' be the cost of each apple.
The trader bought 20 apples, so the total cost of the apples is 20x.

He sold half the stock (10 apples) at a 10% profit.
Selling price of 10 apples = 10x + 10% of 10x = 10x + x = 11x
With this money (11x), he bought 5 mangoes.
Let 'y' be the cost of each mango.
So, 5y = 11x ----(Equation 1)

He then sold the entire stock of 20 apples at a 20% profit.
Selling price of 20 apples = 20x + 20% of 20x = 20x + 4x = 24x

His total profit is Rs. 21.
Profit = Selling price - Cost price
21 = 24x - 20x
21 = 4x
x = 21/4 = 5.25 (Cost of each apple)

Now we can use equation 1 to find y.
5y = 11x
5y = 11 * 5.25
5y = 57.75
y = 57.75 / 5
y = 11.55

There seems to be an error in the given options as the value of the mango cannot be determined using the information given in the problem as the solution is coming out to be 11.55. However, since the answer is an integer and is closest to the options, we can assume there was a problem with the options. Thus the cost of each mango is approximately Rs. 11.
Final Answer: The final answer is (

Rs.11

)