Let's break down Shaan's transactions step-by-step to find the total amount of money he has at the end.

Calculating Shaan's Money After Buying and Selling Product 'z'

Shaan starts with a total of Rs. 5,500.

He buys product 'z' for Rs. 5,000. This is the Cost Price (CP) of product 'z'.

Money remaining with Shaan after buying 'z' = Initial Money - Cost of 'z'

Money remaining = Rs. 5,500 - Rs. 5,000 = Rs. 500

He then sells product 'z' at a profit of 15%.

The profit amount is calculated on the Cost Price of 'z'.

Profit on 'z' = 15% of Rs. 5,000

Profit on 'z' $= \frac{15}{100} \times 5000 = 0.15 \times 5000 = 750$

The Selling Price (SP) of product 'z' is the Cost Price plus the Profit.

Selling Price of 'z' = Cost Price of 'z' + Profit on 'z'

Selling Price of 'z' = Rs. 5,000 + Rs. 750 = Rs. 5,750

After selling product 'z', Shaan now has the money that was initially left with him plus the selling price of 'z'.

Total money Shaan has after selling 'z' = Money remaining initially + Selling Price of 'z'

Total money after selling 'z' = Rs. 500 + Rs. 5,750 = Rs. 6,250

Calculating Shaan's Money After Buying and Selling Product 'X'

With all the money he has now (Rs. 6,250), Shaan buys product 'X'.

This means the Cost Price (CP) of product 'X' is Rs. 6,250.

He sells product 'X' making a profit of 25% on it.

The profit amount is calculated on the Cost Price of 'X'.

Profit on 'X' = 25% of Rs. 6,250

Profit on 'X' $= \frac{25}{100} \times 6250 = 0.25 \times 6250$

Profit on 'X' $= \frac{1}{4} \times 6250 = \frac{6250}{4} = 1562.50$

The Selling Price (SP) of product 'X' is the Cost Price plus the Profit.

Selling Price of 'X' = Cost Price of 'X' + Profit on 'X'

Selling Price of 'X' = Rs. 6,250 + Rs. 1,562.50 = Rs. 7,812.50

The total money Shaan has now is the selling price of product 'X'.

Final Amount Shaan Has

After completing both transactions, Shaan has a total of Rs. 7,812.50.

Revision Table: Key Terms in Profit and Loss

Additional Information: Concepts Related to Profit Calculation

When solving profit and loss problems, it's important to remember that profit or loss percentage is usually calculated based on the Cost Price (CP) unless otherwise stated. The selling price can also be calculated directly using the profit percentage:

• If there is a profit of P%, the Selling Price (SP) = $CP \times (1 + \frac{P}{100})$.
• If there is a loss of L%, the Selling Price (SP) = $CP \times (1 - \frac{L}{100})$.

In this problem, for product 'z' with a 15% profit:

SP of 'z' = $5000 \times (1 + \frac{15}{100}) = 5000 \times (1 + 0.15) = 5000 \times 1.15 = 5750$

This matches the previous calculation (5000 + 750).

For product 'X' with a 25% profit:

CP of 'X' = 6250

SP of 'X' = $6250 \times (1 + \frac{25}{100}) = 6250 \times (1 + 0.25) = 6250 \times 1.25$

SP of 'X' = $6250 \times 1.25 = 7812.50$

This confirms the final amount Shaan has.