A fruit seller buys some apples at rupees 5 per Apple he also buys an equal number of Bananas at rupees 2 per banana he makes a 20% profit on apples and 15% profit on Bananas at the end of the day De all fruits are sold out is total profit is rupees 390 find the number of Apple he purchased
Answers
Answer:
Given :-
A fruit seller buys some apples at rupees 5 per Apple he also buys an equal number of Bananas at rupees 2 per banana he makes a 20% profit on apples and 15% profit on Bananas at the end of the day De all fruits are sold out is total profit is rupees 390
To Find :-
Number of apples
Solution :-
Let the CP of apple and banana be a
CP of apple = 5 × a = 5a
CP of banana = 2 × a = 2a
Now
ATQ
We know that
SP = (100 + Profit %)/100 × CP
SP = (100 + 20)/100 × 5a
SP = 120/100 × 5a
SP = 24/20 × 5a
SP = 24/4 × a
SP = 24a/4
SP = 6a
Now
On bananas
SP = (100 + Profit%)/100 × CP
SP = (100 + 15)/100 × 2a
SP = 115/100 × 2a
SP = 23/20 × 2a
SP = 23a/10
Now
Total SP = 5a + 2a
Total SP = 7a
Total CP = 6a + 23a/10
Total CP = 60a + 23a/10
Total CP = 83a/10
Now
Profit = SP - CP
Profit = 83a/10 - 7a
390 = 83a - 70a/10
390 × 10 = 83a - 70a
3900 = 13a
3900/13 = a
300 = a
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