# NCERT Class 8 Mathematics Solutions: Chapter 13 – Direct and Inverse Proportions Exercise 13.2 Part 3

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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 ?

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?

Consider,

The number of days be .

Total number of animals

 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?

Consider,

Time taken to complete the job be .

 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?