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\begin{array} { l } { \text { A garrison of } 1200 \text { men is provisioned for } } \\ { 75 \text { days. If after } 25 \text { days the garrison is } } \\ { \text { reinforced by } 300 \text { people, how long would the } } \\ { \text { remaining provisions last? } } \end{array} |
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Answer» Given : The garrison has provision for 1200 men for 75 days.Hence after 25 days, the remaining food is sufficient for 1200 men for 50days.Remaining men after 25 days = 1200 + 300 = 1500 menSo, more men are there, then food will last for less days (Inverse proportion).∴ 1500 : 1200 ::50:x⇒ 1500× x = 1200× 50⇒ x = (1200× 50)/1500⇒ x= 40 days |
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