# 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

2
by debu2

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by debu2

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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

then what for 8?

person money

5 2480

8 ?

so. 20 day for 8 person is

5

if 3968 for 20 day then 6944 ?

money day

3968 20

6944 ? ⇒

3968

6944rs for 35 days.