Question

A fruit vendor buys some oranges at the rate of Rs 5 per orange. He also buys an equal number of bananas at the rate of Rs. 2 per banana. He sold the oranges at a profit of 20% and the bananas at a profit of 15%. At the end of the day all the fruits are sold out. His total profit is Rs 390, Then how many number of oranges he had purchased ?

Answer 1

100 oranges he buys hwhqfsjxhhavxhalxub

Answer 2

ans will be 300 oranges

solution:
let
the no of orange bought by the vendor be X
according to question:
no of orange bought by the vendor = no of banana bought by the vendor = X
now;
cost of orange at which vendor bought =₹5
then cost of X no of orange will be = ₹5X
cost of banana at which the vendor bought = ₹2
then cost of X no of banana will be = ₹2X
also, according to the question:
vendor sells the orange at a profit of 20% i.e, he sells it at the price of =

5X ×20/100 +5X= ₹6X

also vendor sells the banana at a profit of 15% i.e,he sells it at the price of=

2X×15/100 +2X= ₹ 23X/10

according to the question his total profit is ₹390 i.e,

(final price of orange- initial price of orange) +(final price of banana - initial price of banana) =₹390

(6X-5X) + (23X/10-2X) = 390
X +3X/10 =390
13X/10 = 390
X =390 ×10/13
X=300