A businessman gives 15% discount on the list price of his items. How m

1.	A businessman gives 15% discount on the list price of his items. How much percent should he increase the cost price to get a 19% profit?1. 34%2. 40%3. 25%4. 30%
Answer» Correct Answer - Option 2 : 40% Given: Discount on the list price = 15% Profit on cost price = 19% Concept used: S.P. = C.P. × (100 + Profit %)/100 Indirect process:- M.P. = S.P. × 100/(100 – discount %) Calculation: Let the cost price of the items be 100 Selling price of the items to get 19% profit = 100 × (100 + 19)/100 = 119 Marked price of the items = 119 × 100/(100 – 15) ⇒ 119 × 100/85 ⇒ 11900/85 ⇒ 140 Percentage markup on the cost price = (140 – 100)/100 × 100 = 40% ∴ The price he should mark on his items to the cost price to get 19% profit would be 40%.

A businessman gives 15% discount on the list price of his items. How much percent should he increase the cost price to get a 19% profit?1. 34%2. 40%3. 25%4. 30%

Answer» Correct Answer - Option 2 : 40%

Given:

Discount on the list price = 15%

Profit on cost price = 19%

Concept used:

S.P. = C.P. × (100 + Profit %)/100

Indirect process:-

M.P. = S.P. × 100/(100 – discount %)

Calculation:

Let the cost price of the items be 100

Selling price of the items to get 19% profit = 100 × (100 + 19)/100 = 119

Marked price of the items = 119 × 100/(100 – 15)

⇒ 119 × 100/85

⇒ 11900/85

⇒ 140

Percentage markup on the cost price = (140 – 100)/100 × 100 = 40%

∴ The price he should mark on his items to the cost price to get 19% profit would be 40%.

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