Question

15.) In a village, 120 men had provision for food
for 120 days. After 10 days 40 men left the
village. How long the remaining food will last?
(A) 270 days
(b) 240 days
(C) 280 days
(D) 300 days​

Answer 1

Answer:

165 days

Step-by-step explanation:

120 men had provision of food for 120 days.

After 10 days provision left for 110 days.

Number of men after 40 mem left =120-40=80

For 120 men the remaining food will last for 110 days.

And for 1 man the remaining food will last for 120×110 days,

so for 80 men the food will last for 120×110÷80= 165 days

Answer 2

$\LARGE\underline{\underline{\sf Given:}}$

• 120 men had provision for food
• for 120 days.

• After 10 days 40 men left the village.

$\LARGE\underline{\underline{\sf To\:Find:}}$

• How long the remaining food will last = ?

$\LARGE\underline{\underline{\sf Solution:}}$

Provision available for 120 men for 120 days .

Total provision can be consumed by 1 man :-

$\large\implies{\sf 120×120}$

$\large\implies{\sf 14400\: days}$

Since , after 10 days 40 men died

Total provision consumed in 10 days

$\large\implies{\sf 120×10 }$

$\large\implies{\sf 1200\:mens\: days}$

$\large\underline{\underline{\sf Total\: provision\:left:}}$

$\large\implies{\sf 14400-1200}$

$\large\implies{\sf 13200\:mens\: days}$

$\large\underline{\underline{\sf Person\:left\:after\:10\:days:}}$

$\large\implies{\sf 120-40 }$

$\large\implies{\sf 80\:mens }$

No of days it can last for remaining people :-

$\large\implies{\sf \dfrac{13200}{80}}$

$\large\implies{\sf 165\:days }$

$\LARGE\underline{\underline{\sf Answer:}}$

•°• Remaining provision will last for 165 days .