a man gains 20 % by selling apples at a certain price. if he sells it at rs. 1.2 higher than the previous price he gained 40 % find original cost price
1.20x + 1.2 = 1.40x
To find the original cost price, we can solve this problem using algebra.
Let's assume the original cost price of the apples is "x" rupees.
According to the information provided, the man gains 20% by selling the apples at a certain price. This means he sells the apples for 120% of the original cost price:
Selling Price (SP) = Original Cost Price (CP) + 20% of CP
So, SP = x + (20/100) * x
= x + 0.20x
= 1.20x
Now, the man sells the apples at 1.2 rupees higher than the previous price, and he gains 40%. This means the selling price is now 140% of the previous selling price:
New Selling Price = 1.20x + 1.2
So, New Selling Price (SP) = 140% of Previous Selling Price (PSP)
1.20x + 1.2 = (140/100) * (1.20x)
Let's solve this equation to find the value of x, which is the original cost price:
1.20x + 1.2 = 1.40 * 1.20x
1.20x + 1.2 = 1.68x
Moving "x" terms to one side of the equation and the constant terms to the other side:
0.48x = 1.2
x = 1.2 / 0.48
x = 2.5
Therefore, the original cost price of the apples is 2.5 rupees.