Question 7 of 58intermediate🔧 ApplyNumerical3 marks

A spice trader takes a loan (debt) of ₹850\text{₹}850. The next day, he makes a profit (fortune) of ₹1,200\text{₹}1,200. The following week, he incurs a loss of ₹450\text{₹}450. Write this sequence as an equation using integers and calculate his final financial standing.

Correct Answer

The final financial standing is a debt of ₹100.

Exercise: Exercise Set 3.2 | Q: 2 | (Page 6)
For More Understanding

Explanation

Using Brahmagupta's concepts from the textbook, a fortune (profit) is represented as a positive integer, while a debt (loan or loss) is represented as a negative integer. The trader's transactions are converted into an addition of integers: -850 (loan) + 1200 (profit) + -450 (loss). The sum is -100, which signifies a remaining debt of ₹100.

Solution Steps

  1. Step 1: Assign integers to transactions — A loan (debt) of ₹850 is written as -850. A profit (fortune) of ₹1,200 is written as +1,200. A loss of ₹450 is written as -450.

  2. Step 2: Write the equation — (-850) + (+1,200) + (-450) = Final Financial Standing

  3. Step 3: Calculate the sum — (-850) + (+1,200) = +350

  4. Step 4: Add the remaining term — (+350) + (-450) = -100

  5. Step 5: State the final standing — The result is -100, which represents a debt of ₹100.

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