Question

In a fort ration for 2000 people was suficient for 54 days. after 15 days, more people came and the ration lasted only for 20 more days. how many people came ?

Answer 1

2000×54=2000×15+(2000+x)×20,

2000×54-2000×15=(2000+x)×20,

2000(54-15)=20×(2000+x),

100×39=2000+x,

3900-2000=x,

then
x=1900

Answer 2

Dear Student,

● Answer -

1900 people

◆ Explanation -

Given ratio is sufficient for 1 person for 2000×54 = 108000 days.

Let x be no of people added after 15 days. So equation will be -

108000 = 2000 × 15 + (2000+x) × 20

108000 = 30000 + 40000 + 20x

20x = 108000 - (30000 + 40000)

20x = 38000

x = 38000 / 20

x = 1900 people

Hence, 1900 people came later.

Thanks dear. Hope this helps you..