1.

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

Answer»

No. of persons           No. of days           Money
        5                              20                      2480
        8                               x                        6944

RATIO of No. of persons = 5 : 8
Ratio of No. of days = 20 : x 
Ratio of Money = 2480 : 6944 = 155 : 434
No. of persons is INVERSELY proportionate to No. of days
No. of days is DIRECTLY proportionate to Money

Compound ratio of NO. of persons and Money = 8 : 5 :: 155 : 434 = (8×155):(5×434) =  1240 : 2170 = 124 : 217

Now,
20 : x = 124 : 217

124x = 20 × 217

x = 4340/124

x = 35

The family can maintain for 35 days



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