Ratios and Proportions word problems.pp

Ratios & Proportions
January 2019

Q9 In a camp, quantity of food is
sufficient for 140 scouts for 20 days. If 60
more scouts join the camp.
How long will the same food suffice.

Solution
Scouts Days
140 20
200 x

Q10 In a camp of 50 players provision was sufficient for
30 days .some more players joined the camp and the
provision lasted for 25 days only. How many more
players joined the camp?

Solution
Players Days
50 30
50+x 25
Answer: 10

Q11 In a hostel of 90 students, there is enough
ration for 30 days. Find how many more students
have arrived if the ration exhausted in 27 days?

Solution
Students Days
90 30
x 27
Answer: 10

Q12 40 men can do a piece of work in 30 days working 8
hours daily. In how many days will 60 men finish the
work when working hours are reduced by 25

Solution
Men Days Hours
40 30 8
60 X 6
Answer: 10

Q13 In army of 1000 soldiers has provision sufficient for
60 days if each solider consume 1.24 kg daily. After 20
days 200 more soldiers arrived. Find how many days
remaining provision will last if each soldier consumes
1 kg daily?

Solution
Soldiers Days Quantity
1000 40 1.24kg
1200 X 1kg
Answer: 10

Q14 5 men can paint a house in 60 days. If 2 of
them do not work what will be the increase
of time required to complete the job?

Solution
Men Days
5 6
3 x
Answer: 10 days

Q15 A group of 650 soldiers have food enough for 80
days .After 10 days some more soldiers arrived and the
food was consumed 5 days earlier. Find the number of
soldiers newly arrived?

Solution
In this Type of PROBLEM, First Subtract OR Add
Days and No of Men, Then Go Ahead
80 – 10 = 70 days
Now Food was consumed FIVE DAYS earlier means 70 – 5 = 65 days
Soldier Days
65070
X 65
Answer: 700 – 650 = 50 days

Q16 If 21 workers can do a job in 20 weeks. How many
workers should be increased to get the job done in 12
weeks?

Solution
Men Days
21 140
X 84
Answer: 35 – 21 = 14

Q17 A garrison of 2000 men has provision for 8 weeks.
At the end of the first 3 weeks; 500 men desert.
How long after this will the food last?

Solution
8 – 3 = 5 weeks
5/7 = 35 days
Men Days
2000 35
1500 X
Answer: 46 days

Ratios and Proportions word problems.pp

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Ratios and Proportions word problems.pp