Due to a reduction in price by 33.33%, a man gets 25 extra apples. If he spends 75 Rs, what is the reduced price per apple?
To find the reduced price per apple, we can follow these steps:
Step 1: Determine the original price per apple.
Let's assume the original price per apple is "x" Rupees.
Step 2: Calculate the reduction in price.
As per the given information, there is a reduction of 33.33%, which means the new price is (100% - 33.33% = 66.67%) of the original price.
Step 3: Calculate the new price per apple.
Since the new price is 66.67% of the original price, the new price per apple would be (66.67/100) * x = 0.6667x Rupees.
Step 4: Calculate the number of apples the man can buy with 75 Rs.
The number of apples that can be bought with 75 Rs is given by 75 / 0.6667x.
Step 5: Find the value of x.
From the problem statement, it is mentioned that the man can buy 25 extra apples when the price is reduced. So we can write an equation:
[(75/0.6667x) + 25] = (75/x)
Simplifying the equation, we get:
75 + (0.6667 * 25) = 75 * 0.6667
Solving the equation, we find x ≈ 0.6667 Rs.
Therefore, the reduced price per apple is approximately 0.6667 Rs.