Question 2
A spice trader takes a loan (debt) of ₹850. The next day, he makes a profit (fortune) of ₹1,200. The following week, he incurs a loss of ₹450. Write this sequence as an equation using integers and calculate his final financial standing.
We will represent financial transactions using positive and negative integers.
Step 1 — Forming the equation
A loan or debt means money owed. We represent debt as a negative integer. So, a debt of ₹850 is -850.
A profit means money gained. We represent profit as a positive integer. So, a profit of ₹1,200 is +1200.
A loss means money lost. We represent loss as a negative integer. So, a loss of ₹450 is -450.
To find the final standing, we add these values. The equation representing the sequence is:

Step 2 — Calculating the final standing
Now, let's calculate the total. We add the numbers from left to right.
Answer
(i) The equation representing the sequence is: . (ii) His final financial standing is .
More questions in Exercise 3.2
The temperature in the high-altitude desert of Ladakh is recorded as 4 °C at noon. By midnight, it drops by 15 °C. What is the midnight temperature?
A spice trader takes a loan (debt) of ₹850. The next day, he makes a profit (fortune) of ₹1,200. The following week, he incurs a loss of ₹450. Write this sequence as an equation using integers and calculate his final financial standing.
Calculate the following using Brahmagupta's laws:
(i)
(ii)
(iii)
(iv)
Explain, using a real-world example of debt, why subtracting a negative number is the same as adding a positive number (e.g., ).