Question

35. A camp having 80 inmates, has food
sufficient for 70 days. How many inmates
should leave after 10 days so that the
remaining food lasts another 80 days ?
​

Answer 1

20 is the correct answer

Answer 2

Given : A camp having 80 inmates, has food sufficient for 70 days.

To find : How many inmates should leave after 10 days so that the

remaining food lasts another 80 days  

Solution :

A camp having 80 inmates, has food sufficient for 70 days.

=> Total Food available = 80 * 70  = 5600 man days

Food used in 10 days  = 80 * 10 = 800 man days

Food left = 5600 - 800 = 4800 man days

Let say inmates left = M

remaining inmates = 80  - M

Food to be survived for  80 Days

Food Required =  (80 - M) * 80

= 6400 - 80M

4800 = 6400 - 80M

=> 80M = 1600

=> M = 20  

20 inmates should left  

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