Utkarsh bought 20 dining tables for Rs 120000 and sold these at a profit equal to the S.P of 4 dining tables.Find the S.P of one dining table.
You should probably clarify what these abbreviations are.
Rs = ??
S.P = ??
??
Sure, I apologize for any confusion.
In this scenario:
- Rs stands for Rupees, the currency used in India.
- S.P stands for Selling Price, which refers to the price at which an item is sold.
Now let's solve the problem.
Utkarsh bought 20 dining tables for Rs 120,000 and sold these at a profit equal to the S.P of 4 dining tables.
To find the selling price (S.P) of one dining table, we need to calculate the profit made on 4 dining tables and then divide that by 4.
Step 1: Calculate the profit made on 4 dining tables.
Since the profit is equal to the selling price (S.P) of 4 dining tables, we can set up the equation:
Profit = S.P of 4 dining tables
Step 2: Divide the total profit by 4 to find the S.P of one dining table.
To determine the selling price of one dining table, we divide the total profit by 4:
S.P of one dining table = (Profit) / 4
Given that the total profit is equal to the selling price of 4 dining tables, we can express it as:
Total Profit = S.P of 4 dining tables
By substituting the values, we have:
Total Profit = S.P of one dining table * 4
Now, we know that Utkarsh bought 20 dining tables for a total of Rs 120,000. Let's find the cost price (C.P) of each dining table.
C.P of one dining table = Total cost / Number of dining tables
C.P of one dining table = Rs 120,000 / 20
C.P of one dining table = Rs 6,000
Since the profit is the difference between the selling price and the cost price, we have:
Profit = S.P of one dining table - C.P of one dining table
We also know that the total profit is equal to the selling price of 4 dining tables:
Total Profit = S.P of one dining table * 4
By substituting the values, we have:
S.P of one dining table * 4 = S.P of one dining table - C.P of one dining table
Now, we can solve this equation to find the S.P of one dining table.