NCERT Class 8 Mathematics Solutions: Chapter 13 – Direct and Inverse Proportions Exercise 13.2 Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding of Inverse Variation

1. If a box of sweets is divided among children, they will get sweets each. How many would each get, if the number of the children is reduced by ?

Answer:

Each child gets sweets

Children will get

sweets

Total number of sweets

If the number of children is reduced by , then children left

Now,

Each child will get sweets

sweets

2. A farmer has enough food to feed animals in his cattle for days. How long would the food last if there were more animals in his cattle?

Answer:

Consider,

The number of days be .

Total number of animals

Tab Le Shows the Animals and Days
Animals
Days

Here,

The number of animals and the number of days are in inverse proportion.

So, the food will last for four days.

3. A contractor estimates that persons could rewire Jasminder՚s house in days. If, he uses persons instead of three, how long should they take to complete the job?

Answer:

Consider,

Time taken to complete the job be .

In the Table Given, a Contractor Estimates Person and Days
Persons
Days

The number of persons and the number of days are in inverse proportion.

days

So, they will complete the job in 3 days.

2. A batch of bottles was packed in boxes with bottles in each box. If the same batch is packed using bottles in each box, how many boxes would be filled?

A Batch of Bottles Packed in Boxes

Answer:

Consider, the number of boxes be .

Table Shows the No. Of Bottles in Each Box
No. of bottles in each box
Boxes

The number of bottles and the number of boxes are in inverse proportion.

So, boxes would be filled.