# A fruit dealer gets the cost price of 60 bananas by selling 40 bananas. What is the profit percent?

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SSC MTS (2022) Official Paper (Held On: 11 May, 2023 Shift 3)
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1. 45%
2. 50%
3. 55%
4. 30%

Option 2 : 50%
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## Detailed Solution

Given:-

(1) The cost price of 60 bananas = selling price of 40 bananas

Formula used:

(1) Profit (P) = Selling Price (SP) - Cost Price (CP)

(2) Profit % = ( Profit/CP) × 100 %

Calculation:-

Cost Price of 1 banana = 1/60

Selling Price of 1 banana = 1/40

So,  Profit = (1/40) -  (1/60)

Profit = ( 3 - 2)/120

Profit = (1/120)

Then, Profit % = [(1/120)/(1/60)]  × 100

Profit % = (100/2)%

Profit % = 50%

∴ The required answer is  50%.

Alternate Method

60 × CP = 40  × SP
SP/CP = 60/40

SP/CP  = 3/2

Profit % =  [(3 - 2)/2] × 100

Profit % =  50%

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