Loss of 20% is observed if selling price of scarf is reduced by 50%. W

1.	Loss of 20% is observed if selling price of scarf is reduced by 50%. What is the initial profit percentage of this transaction?1. 25%2. 60%3. 75%4. 50%5. 30%
Answer» Correct Answer - Option 2 : 60% Gain: S.P. reduced by 50% Loss = 20% after reduction Formula used: S.P. = C.P. + Gain S.P. = C.P. – Loss Gain% = (Gain/C.P.) × 100 Calculation: Assume initial S.P. = 100 ⇒ SP reduces = 100 – 50 ⇒ Reduced SP = 50 Now, on this reduced S.P. 20% loss is observed ⇒ Reduced S.P. = 50, loss = 20% ⇒ S.P. = C.P. – Loss Assume C.P. = X ⇒ 50 = X – (0.20 × X) ⇒ 50 = 0.80 X ⇒ (50/0.8) =X ⇒ X = 62.5 Now, Initial profit percentage ⇒ Profit% = ((100 – 62.5))/62.5) × 100 ⇒ Profit% = (37.5/62.5) × 100 ⇒ Profit% = 0.6 × 100 ∴ Initial profit% is 60%

Loss of 20% is observed if selling price of scarf is reduced by 50%. What is the initial profit percentage of this transaction?1. 25%2. 60%3. 75%4. 50%5. 30%

Answer» Correct Answer - Option 2 : 60%

Gain:

S.P. reduced by 50%

Loss = 20% after reduction

Formula used:

S.P. = C.P. + Gain

S.P. = C.P. – Loss

Gain% = (Gain/C.P.) × 100

Calculation:

Assume initial S.P. = 100

⇒ SP reduces = 100 – 50

⇒ Reduced SP = 50

Now, on this reduced S.P. 20% loss is observed

⇒ Reduced S.P. = 50, loss = 20%

⇒ S.P. = C.P. – Loss

Assume C.P. = X

⇒ 50 = X – (0.20 × X)

⇒ 50 = 0.80 X

⇒ (50/0.8) =X

⇒ X = 62.5

Now, Initial profit percentage

⇒ Profit% = ((100 – 62.5))/62.5) × 100

⇒ Profit% = (37.5/62.5) × 100

⇒ Profit% = 0.6 × 100

∴ Initial profit% is 60%

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