Integers (Word Problems) | kaboodle - Free Printable

Let's solve each question step by step from the Class 7 Maths Worksheet on Integers.

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Given Information:

- Profit per bag of oranges = ₹6
- Loss per bag of grapes = ₹4

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1. Merchant sells 1800 bags of oranges and 2500 bags of grapes. What is the profit or loss?

Step-by-step:

- Profit from oranges = 1800 × ₹6 = ₹10,800
- Loss from grapes = 2500 × ₹4 = ₹10,000
- Net result = Profit – Loss = ₹10,800 – ₹10,000 = ₹800 profit

✔ Answer: ₹800 (profit)

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2. What is the number of bags of oranges to be sold to have neither profit nor loss if the number of grape bags sold is 900?

Step-by-step:

- Loss from 900 bags of grapes = 900 × ₹4 = ₹3,600
- To break even, profit from oranges must be ₹3,600
- Let number of orange bags = x
- Then: 6x = 3600 → x = 3600 ÷ 6 = 600

✔ Answer: 600 bags

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3. The sum of two integers is 116. If one of them is -79, find the other integer.

Step-by-step:

Let the other integer be x.

So:
x + (-79) = 116
x – 79 = 116
x = 116 + 79 = 195

✔ Answer: 195

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4. Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date on 3 days after tomorrow?

Step-by-step:

- "Day before yesterday" = 17 Jan → That means:
- Yesterday = 18 Jan
- Today = 19 Jan (zero)
- Tomorrow = 20 Jan
- 3 days after tomorrow = 20 + 3 = 23 January

✔ Answer: 23rd Jan

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True/False Questions

#### 5. 5 - (-8) is the same as 5 + 8.

- 5 - (-8) = 5 + 8 = 13 → True

✔ Answer: True

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#### 6. (-9) + (-11) is greater than (-9) - (-11)

- Left side: (-9) + (-11) = -20
- Right side: (-9) - (-11) = -9 + 11 = 2
- Is -20 > 2? → No

✘ Answer: False

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#### 7. When we change the order of integers, their sum remains the same.

This is the commutative property of addition: a + b = b + a → True

✔ Answer: True

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#### 8. Sum of two negative integers always gives a number smaller than both the integers.

Example: (-3) + (-5) = -8
Is -8 smaller than both -3 and -5? Yes (since -8 < -5 and -8 < -3)

But note: On the number line, smaller means more negative.

Yes, sum is always more negative (i.e., smaller).

✔ Answer: True

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#### 9. Difference of two negative integers cannot be a positive integer.

Check: (-3) - (-5) = -3 + 5 = 2 → Positive!

So, difference can be positive.

✘ Answer: False

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#### 10. We can write a pair of integers, whose sum is not an integer.

But the sum of two integers is always an integer.

So no such pair exists.

✘ Answer: False

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✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | ₹800 (profit) |
| 2 | 600 |
| 3 | 195 |
| 4 | 23rd Jan |
| 5 | True |
| 6 | False |
| 7 | True |
| 8 | True |
| 9 | False |
| 10 | False |

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