# 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

2015-02-27T14:43:00+05:30
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
2015-02-27T16:16:30+05:30
If 5 person expence of 20 day is 2480
then what for 8?
person       money
5               2480
8                ?
so. 20 day for 8 person is 8 × 2480  = 3968rs.
5
if 3968 for 20 day then 6944 ?
money          day
3968           20
6944            ?    ⇒  6944 × 20 = 35 day.
3968
6944rs for 35 days.