arman sold an article offering a discount of 15% and earning a profit of 25.5% . what would have been the percentage of profit earned if no discount was offered.
Answers
Answer:
Arman would have made a profit of 47.66% if there was no discount.
Step-by-step explanation:
Let the original selling price be Rs 100
After discount of 15 % selling price = 100 - 15 = 85
After selling the article at Rs 85 he made a profit of 25.5%
Let the cost price of the article be x, hence
x + 25.5% of x = 85
=> x + 25.5x/100 = 85
=> 125.5x/100 = 85
=> x = 8500/125.5 = 67.72 Rs
If there was no discount, then he would have sold it to Rs 100
=> profit = 100 - 67.72 = 32.28
Hence % of profit = (32.28/67.72) x 100
= 47.66%
Hence Arman would have made a profit of 47.66% if there was no discount.
Answer:
47.6%
Step-by-step explanation:
Let the cost price be x
Find the price with profit:
Profit = 25.5% of x . = 0.255x
Price with profit = x + 0.255x = 1.255x
Find the price before discount:
Discount = 15%
Price after discount = 100 - 15 = 85%
85% = 1.255x
100% = 1.255x/85 x 100 = 1.476x
Find the profit:
Profit = 1.476x - x = 0.476x
Find the profit percentage:
Profit Percentage = ( 0.476x ÷ x ) x 100 = 47.6%
Answer: The profit earned would be 47.6%