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:
There would have been a profit of 47.66% without discount.
Step-by-step explanation:
Let the net 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:
Arman would earn profit of 47.64 % if no discount was offered.
Step-by-step explanation:
Let Selling Price= 100
After discount of 15% selling Price= 100-15= 85
Let x be the CP
Profit %= (SP-CP) /CP
25.5%= (85-x)/x
X+25.5x/100=85
125.5x= 8500
X= Rs. 67.73
If no discount was offered then,
SP= 100
Profit = (SP-CP) /CP
=(100-67.73)/67.73
= 32.27/67.73
=0.4764
=47.64 %
Arman would earn profit of 47.64 % if no discount was offered.