Question

if cost price of an article increases by 100.The selling price increases by 10%.If new profit decreases from 15% to 10% what is original c.p.?

Answer 1

Let CP = X.
SP = X + 20% of X= 1.2X.
Now, CP increased by 50,
New CP = X + 50.
New SP = 1.2X + 30
New Profit = 20 - 10/3 = 16.67%
Now,
SP = CP + Profit
1.2X + 30 = (X + 50) + 16.67% of (X + 50)
1.2X + 30 = X + 50 + 0.167X + 8.33
1.2X - X - 0.167X = 50 - 30 + 8.33
0.033X = 28.33
X = 858