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When table is sold at 20% discount, seller earns profit of 60%. If table is sold at 40% discount, what will be the new profit percent?


1. 15%
2. 25%
3.

27.5%


4. 20%

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Correct Answer - Option 4 : 20%

Given:

When table is sold at 20% discount, seller earns profit of 60%.

Concepts used:

M.P. = S.P. + Discount

Discount % = Discount/M.P. × 100

Gain % = Gain/C.P. × 100

Gain = S.P. – C.P.

Calculation:

Let M.P. of table be Rs. x.

⇒ Discount % = 20

⇒ {(x – S.P.)/x} × 100 = 20

⇒ S.P. = 4x/5

Profit % = 60

⇒ (4x/5 – C.P.)/C.P. × 100 = 60

⇒ 4x/5 = 8C.P./5

⇒ C.P. = x/2

If discount % = 40

⇒ (x – S.P.)/x × 100 = 40

⇒ S.P. = 3x/5

New gain % = (3x/5 – x/2)/(x/2) × 100 = 20%

New gain % is equal to 20%.

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