Question
Download Solution PDFOne thousand men, in a fortess have provisions for 12 days. How long will the provisions last if 200 more men join them ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initial number of men = 1000
Provisions last for = 12 days
Additional men = 200
Total number of men = 1000 + 200 = 1200
Formula used:
Provisions last inversely proportional to the number of men.
If provisions for 'n' men last for 'd' days, then provisions for 'm' men last for:
dnew = d × (n / m)
Calculation:
Initial provisions last for 12 days for 1000 men:
Total men after 200 join = 1200
⇒ dnew = 12 × (1000 / 1200)
⇒ dnew = 12 × (10 / 12)
⇒ dnew = 10
∴ The correct answer is option (4).
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