# The cost price of 8 apples is equal to the selling price of 5 apples and cost price of 13 oranges is equal to selling price of 10 oranges, If the rati

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The cost price of 8 apples is equal to the selling price of 5 apples and cost price of 13 oranges is equal to selling price of 10 oranges, If the ratio of cost price of 1 apple to 1 orange is 5 : 2, Find the net profit percent on the sale of 8 apples and 10 oranges.

1. 55%
2. 40%
3. 50%
4. 45%
5. None  of these

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Correct Answer - Option 3 : 50%

Given:

Cost price of 8 apples is equal to the selling price of 5 apples

Cost price of 13 oranges is equal to selling price of 10 oranges

Ratio of cost price of 1 apple to 1 orange = 5 : 2

Concept:

Profit% = {(Selling price – Cost price) × 100}/Cost price

Calculation:

Let, cost price of 1 apple = Rs.a

And selling price of 1 apple = Rs.b

According to question,

8 × a = 5 × b

⇒ a/b = 5/8

a = 5x

b = 8x

Let, cost price of 1 orange = Rs.c

And selling price of 1 orange = Rs.d

13 × c = 10 × d

c/d = 10/13

c =10y

d = 13y

Ratio of cost price of 1 apple to 1 orange = 5 : 2

a : c = 5 : 2

5x/10y = 5/2

⇒ x = 5y

 Cost price Selling price 1 Apple 25y 40y 1 Orange 10y 13y

Cost price of (8 Apples + 10 Oranges) = 8 × 25y + 10 × 10y  = Rs.300y

Selling price of (8 Apples + 10 Oranges) = 8 × 40y + 10 × 13y  = Rs.450y

Profit% = {(Selling price – Cost price) × 100}/Cost price

Profit% = {(450y – 300y) × 100}/300y = 50%

∴ Net profit percent on the sale of 8 apples and 10 oranges is 50%.