Question 1039334
a man bought some apple at the rate $5 per apple.
he also bought an equal number of banana s at the rate $2.
he sold the apple at a profit of 20% and the banana s at a loss of 5%
 but still he made a overall profit of $360 after selling all of them .
what is the number of apple he bought and sold.
:
Apples, 20% profit; 1.2*5 = $6.00
Bananas, 10% loss: .9*2 = $1.80
:
let a = no. of apples sold
let b = no. of bananas
they sold equal numbers therefore
b = a
:
His cost = 5a + 2b
Total sales = 6a + 1.8b
:
Profit = Total sales - cost; ($360)
(6a+1.8b) - (5a+2b) = 360
6a - 5a + 1.8b - 2b = 360
a - .2b = 360
replace b with a
a - .2a = 360 
.8a = 360
a = 360/.8
a = 450 apples
:
:
See if that works out, we know that he also sold 450 bananas
450(1) - .2(450) = $360