PROBLEMS ON DIRECT AND INVERSE PROPORTIONS

Word problems on direct proportion

Problem 1 :

A dozen bananas costs $20. What is the price of 48 bananas ?

Solution

Problem 2 :

A group of 21 students paid $840 as the entry fee for a magic show. How many students entered the magic show if the total amount paid was $1,680 ?

Solution

Problem 3 :

A birthday party is arranged in third floor of a hotel. 120 people take 8 trips in a lift to go to the party hall. If 12 trips were made how many people would have attended the party ?

Solution

Problem 4 :

The shadow of a pole with the height of 8 m is 6 m. if the shadow of another pole measured at the same time is 30 m, find the height of the pole ?

Solution

Problem 5 :

A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours ?

Solution

Problem 6 :

If half a meter of cloth costs $15. Find the cost of 8 1/3 meters of the same cloth.

Solution

Problem 7 :

The weight of 72 books is 9 kg. What is the weight of 40 such books ?

Solution

Answers :

1)  $80

2)  42

3)  180

4)  40 m

5)  1107 letters

6)  $ 250

7)  5 kg

Word problems on inverse proportion

Problem 1 :

6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off ?

Solution

Problem 2 :

A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks, how long will the food last ?

Solution

Problem 3 :

If takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole ?

Solution

Problem 4 :

Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last ?

Solution

Problem 5 :

Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money ?

Solution

Problem 6 :

If takes 120 minutes to weed a garden with 6 gardeners if the same work is to be done in 30 minutes, how many more gardeners are needed ?

Solution

Problem 7 :

Heena goes by bi-cycle to her school every day. Her average speed is 12 km/hr and she reaches school in 20 minutes. What is the increase in speed, if she reaches the school in 15 minutes ?

Solution

Answers :

1)  1 hour 48 min

2)  36 days

3)  20 days 

4)  15 days

5)  100 grams

6)  18

7)  4 km/hr

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