Question

23. A fruit vendor buys some oranges at the rate of 5 per orange. He also buys an equal number of bananas
at the rate of 2 per banana. He makes a 20% profit on oranges and a 15% profit on bananas. At the end
of the day, all the fruit is sold out His total profit is 390. Find the number of oranges purchased​

Answer 1

Answer:

Ans will be 300 oranges

Step-by-step explanation:

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

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