a group of 30 persons can consume 48 kg of rice in 4 days. i hoe many days can 40 persons consume 240 kg of rice
Answers
Answer:
Answer:
Correct option is
C
4 days
We first find out in which variations are the quantities related in the given situation.
When the number of people decreases from 40 to 30, the number of days to consume the rice will be more.
When the number of kg of rice decrease from 240 kg to 48 kg, number of days to consume will be less.
Hence, the number of days is in direct variation with the number of kg of rice and in inverse variation with the number of people.
Since number of days and number of kg of rice are in direct variation,
Constant of variation k
1
=
240
48
Since number of days and number of people are in inverse variation,
Constant of variation k
2
=
30
40
Now x=k
1
×k
2
×15
=
30
40
×
240
48
×15
=4
Hence, 30 people will consume 4 kg of rice in 4 days.