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# 100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for

(a) 30 days

(b) 96/5 days

(c)120 days

(d) 40 days

**Solution:**

Food provisions for 100 people were there to last for 24 days. If 20 people left then 80 people will be left. Thus persons and days are inversely proportional. The number of days the provisions will last are calculated as:

__No. of Persons__ __No. of Days__

100 24

80 x = ?

If 20 people left it implies that provisions will last for a longer time. Therefore the number days the provision will last are:

x = 24 × (100/80) = 30 days

**✦ Try This: **100 persons had food provision for 24 days. If 20 persons more arrive at the place, the provision will last for (a) 30 days, (b) 96/5 days, (c)120 days, (d) 40 days

Food provisions for 100 people were there to last for 24 days. If 20 people join then 120 people will be there. The number of days the provisions will last are calculated as:

__No. of Persons__ __No. of Days__

100 24

120 x = ?

If 20 people more arrive left it implies that provisions will last for a shorter time. Therefore the number days the provision will last are:

x = 24 × (100/120) = 20 days

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 12**

## 100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for (a) 30 days, (b) 96/5 days, (c)120 days, (d) 40 days

**Summary:**

Food provisions for 100 people were there to last for 24 days. If 20 people left then 80 people will be left. The provisions will now last for 30 days

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