# 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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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

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 .

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?

Answer:

Consider, the number of boxes be .

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.