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In a camp, food was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?
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- 1900
- 2400
- 1940
- 2220
Correct Option: A
As per the given question ,
In a camp, food was sufficient for 54 days for 2000 people.
Hence, after 15 days, the remaining food was sufficient for 2000 people for 54 - 15 = 39 days.
Let M number of people came after 15 days.
Then, total number of people after 15 days = (2000 + M)
Then, the remaining food was sufficient for (2000 + M) people for 20 days
More men, Less days (Indirect Proportion)
⇒ 2000 : ( 2000 + M ) :: 20 : 39
⇒ 2000 + M = | 2000 x 39 |
20 |
⇒ 2000 + M = 100 x 39 ⇒ 2000 + M = 3900 ⇒ M = 3900 - 2000 = 1900