A family of 5 persons can be maintained for 20 days with Rs. 2480. Find, how long Rs. 6944 maintain a family of 8 persons.

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Solution

A family of 5 persons can be maintained with Rs. 2480 for = 20 days
A family of 5 persons can be maintained with Re. 1 for $= \frac{20}{2480}$ days
A family of 5 persons can be maintained with Rs. 6944 $= \frac{20}{2480} \times 6944 = \frac{1}{124} \times 6944$
= 56 days
A family of 1 person can be maintained $= 56 \times 5$ days
A family of 8 persons can be maintained
$= \frac{56 \times 5}{8}$ days
$= 7 \times 5$ days
= 35 days

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