Solve the question on your notebook and check it by clicking (Answer and Explanation) below question.
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
After 10 days : 150 men had food for 35 days.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
Work done = 5/8
Balance work =(1 - 5/8) = 3/8
Then,(5/8 : 3/8)= :: 10 : x ⇔ 5/8 × x = 3/8 × 10
⇒ x = 3/8 × 10 × 8/5
⇒ x = 6.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Less cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
Cows 1 : 40 :: 40 : x
Bags 40 : 1
1 × 40 × x = 40 × 1 × 40
x = 40.
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 6 :: 21 : x ⇔ 14 x x = 6 x 21
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