If Mayank doubles the selling price of an item, the profit becomes 4 t

1.	If Mayank doubles the selling price of an item, the profit becomes 4 times. Find the original profit percent (before increasing the selling price)A. 50%B. 100%C. 125%D. 25%1. A2. B3. C4. D
Answer» Correct Answer - Option 1 : A Given: Mayank doubles the selling price of an item then profit becomes 4 times. Formula Used: Profit percentage = {(Selling price – Cost price)/Cost price}×100 Calculation: Let the initial cost price and selling price be CP, SP. Let initial profit be P. As 1^st time Profit P = (SP – CP) ----(1) When selling price be doubled 2SP Then profit in 2^nd case P = (2SP – CP) ----(2) As given profit in 2^nd case is 4 times of 1^st ⇒ (2SP – CP) = 4(SP – CP) ⇒ 2SP – CP = 4SP – 4CP ⇒ 3CP = 2SP ⇒ SP/CP = 3x/2x Profit percentage = {(Selling price – Cost price)/Cost price}×100 ⇒ The profit % = (3x – 2x)/2x = (x/2x)×100 = 50% ∴ The initial profit % is 50%

If Mayank doubles the selling price of an item, the profit becomes 4 times. Find the original profit percent (before increasing the selling price)A. 50%B. 100%C. 125%D. 25%1. A2. B3. C4. D

Answer» Correct Answer - Option 1 : A

Given:

Mayank doubles the selling price of an item then profit becomes 4 times.

Formula Used:

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

Calculation:

Let the initial cost price and selling price be CP, SP.

Let initial profit be P.

As 1^st time Profit P = (SP – CP) ----(1)

When selling price be doubled 2SP

Then profit in 2^nd case P = (2SP – CP) ----(2)

As given profit in 2^nd case is 4 times of 1^st

⇒ (2SP – CP) = 4(SP – CP)

⇒ 2SP – CP = 4SP – 4CP

⇒ 3CP = 2SP

⇒ SP/CP = 3x/2x

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

⇒ The profit % = (3x – 2x)/2x = (x/2x)×100 = 50%

∴ The initial profit % is 50%

Discussion

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