Your bank balance was . You make at your business the next day. Q. What is your balance now?

Question

Homi · Accepted Answer

Understand the Question

An initial bank balance of $-\text{₹}20$ represents a debt or negative amount of $\text{₹}20$ .
Making/earning $\text{₹}200$ adds a positive amount of $+200$ to the account.
The new balance is found by adding the money earned to the initial balance: $-20 + 200$ .

Step 1 · Represent the Initial Balance

Initial bank balance $= -\text{₹}20$ , which represents a debt of $\text{₹}20$ . Diagram 1

Step 2 · Add the Earnings to Calculate the New Balance

Money earned $= \text{₹}200$ .

Adding this to the starting balance corresponds to moving $200$ units to the right from $-20$ on the number line. Diagram 2

\begin{aligned} \text{New Balance} &= -20 + 200 \\ &= 200 - 20 \\ &= 180 \end{aligned}

Answer

$\text{₹}180$

Common Mistakes

Ignoring the Negative Sign: Adding the absolute values ( $200 + 20 = 220$ ) instead of recognizing that $-\text{₹}20$ is negative, which gives $-20 + 200 = 180$ .
Sign Error in the Result: Writing $-\text{₹}180$ instead of $+\text{₹}180$ , forgetting that the positive earnings ( $+200$ ) are greater than the negative debt ( $-20$ ).

Question 18