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A garrison has provisions for few days. After 15 days,1/4 of people left and it was found that the provisions would last for as long as before. How long was that?1). 262). 453). 604). 80 |
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Answer» Let the food EATEN by 1 man in 1 day = x, TOTAL men = y Let the GARRISON had provisions for z days Then total quantity of food = xyz Amount of food eaten by y men in 15 days = 15xy Remaining food = xyz - 15xy = xy(z - 15) After 15 days, total men = 3y/4 Food consumed by 3y/4 men in 1 day = 3xy/4 Time TAKEN for 3y/4 men to complete xy(z - 15) food = xy(z−15)/(3xy/4) = 4(z−15)/3 Given that number of days remain the same ⇒ 4(z−15)/3 = z ⇒ z = 60 |
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