A sold a table to B at a profit of 20%. B sold the same table to C for...
To solve this problem, we need to work backwards and use the concept of successive profit percentages. Let's break down the given information and solve it step by step.
Step 1: B's profit
B sold the table to C for Rs 75, making a profit of 25%.
Let's assume B bought the table from A for x rupees.
Therefore, B's selling price is x + 25% of x = x + 0.25x = 1.25x.
Step 2: A's profit
A sold the table to B at a profit of 20%.
So, A's selling price is 1.2 times the cost price (x) to B.
Therefore, the selling price to B is 1.2x.
Step 3: Equating the selling prices
We know that B's selling price (1.25x) is equal to A's selling price (1.2x).
Therefore, we can write the equation as:
1.25x = 1.2x
Step 4: Solving the equation
To solve the equation, we subtract 1.2x from both sides:
1.25x - 1.2x = 0.05x
Simplifying the equation:
0.05x = 0
Step 5: Finding the value of x
Since 0.05x = 0, it implies that x = 0 / 0.05 = 0
Step 6: Calculating A's buying price
Now that we know x = 0, we can calculate A's buying price.
A's buying price = x = Rs 0
However, it is not possible to buy a table for Rs 0. So, there must be a mistake in the question or the given information.
Therefore, the given question is incorrect, and we cannot determine the price at which A bought the table from X.