1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
Total soldiers = 1200
Let us consider the number of soldiers transferred to another fort be ‘x’ soldiers
After four days number of soldiers left the fort = 1200 – x
And for remaining soldiers (1200 – x) the food lasted for 32 more days
We know k = xy
24 × 1200 = 32 × (1200-x)
28800 = 38400 – 32x
32x = 38400 – 28800
32x = 9600
x = 9600/32
= 300
∴ 300 soldiers left for another fort.
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