devender bought some apples at the rate of 5 rupees per apple. He also bought an equal number of bananas at the rate of 2 rupees per banana. He sold the apples at a profit of 20% and the bananas at a loss of 5%,but still made an overall profit of 360 rupees after selling all the fruits. What is the number of apple he had purchased?
Answers
Answer:
Step-by-step explanation:
The number of apples he had purchased is 400.
Let us consider that Devender bought 'x' number of apples and bananas. [As the no. of apples and bananas he bought are same.]
Given,
Cost Price of 1 apple = Rs 5
∴ Cost price of total x no. of apples = Rs 5x.
Also, given that.
Cost Price of 1 banana = Rs 2
∴ Cost price of total x no. of bananas = Rs 2x.
So, total cost price = Rs 5x + Rs 2x = Rs 7x
Selling price of x no. of apples at 20% profit
= (100 + profit) % of CP
= (100 + 20)% of Rs 5x
= 120% of Rs 5x
= Rs 6x
Selling price of x no. of bananas at 5% loss
= (100 - loss) % of CP
= (100 5)% of Rs 2x
= 95% of Rs 2x
= Rs 1.9x
So, total SP = Rs 6x + Rs 1.9x = Rs 7.9x
Given, profit occurs.
So, profit value = Rs (7.9x - 7x) = Rs 0.9x
This profit value is equal to Rs 360 [From question]
⇒ 0.9x = Rs 360
⇒ x = 360/0.9
⇒ x = 400
So, the no. of apples he bought = x = 400.