Question

a trader marked the price of an article such that after allowing a discount of 8 %shopkepper marks a profit of 15%by what percent is the marked price about the cost price​

Answer 1

Step-by-step explanation:

Given:

Discount% = 8%

Profit% = 15%

Formula used:

SP = CP + Profit

SP = MP × {(100 - Discount%)/100}

where,

SP = Selling price

MP = Marked price

CP = Cost price

Calculation:

Let the CP of the article be Rs. 100

Profit = 15% of CP = Rs. 15

SP = CP + Profit = 100 + 15 = Rs. 115

SP = MP × {(100 - Discount%)/100}

⇒ 115 = MP × {(100 - 8)/100}

⇒ 115 = MP × (92/100)

⇒ MP = (100/92) × 115

⇒ MP = Rs. 125

MP - CP = 125 - 100 = 25

⇒ 25% of CP

∴ The MP is 25% above the CP.