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Direct Variation using Method of Proportion Worksheet with Answers
I. The cost of 7 kg of sugar is Rs 210. What will the cost of 13 kg of sugar be?
The cost of 7 kg of sugar is = Rs 210
Let the cost of 13 kg of sugar be x.
Since they vary directly,
7x=210 × 13
Hence, the cost of 13 kg of sugar is Rs 390.
II. If the weight of 4 fruits is 500 g, find how many such fruits will weigh 5.5 kg?
The weight of 4 fruits is= 500 g
The weight of 1 fruit=500/4=125
we know that 1 kg=1000 gm.
5.5 kg=5500 gm
No. of fruits will weigh 5.5 kg=5500/125=44
Hence, 44 fruits will weigh 5.5 kg.
III. Rakesh gets Rs 3500 for 7 days of work. How many days should he work to get Rs 8000?
Rakesh gets money for 7 days of work=Rs 3500
Two quantities vary directly, (money and working days)
i.e. More money more working days.
Let the number of working days to get the money of Rs 8000 be x.
Therefore, Rakesh has to work 16 days to get Rs 8000.
IV. The cost of 8 notebooks is Rs192, what do 30 notebooks cost?
The cost of 8 notebooks is=Rs 192
Let the cost of 30 notebooks be x.
since they vary directly,
8x=30 × 192
Hence, the cost of 30 notebooks is Rs 720.
V. A man walks 10,000 steps every day to cover a 1 km distance. If he walks 14,000 steps how much distance will be covered?
A man takes 10000 steps every day to cover a distance=1 km
Let the distance covered for 14000 steps be x.
since they vary directly,
Hence, the man covers 1.4 km if he walks 14,000 steps.
VI. At a birthday party, Ravi buys 8 gallons of juice for 70 members. how many gallons do they need for 180 members?
Ravi buys juice for 70 members=8 gallons
Let the 180 members need gallons of juice be x.
since they are in direct variation,
70x=8 × 180
Therefore, Ravi needs 20.57 gallons of juice for 180 members.
VII. A bus travels 120 km on 5 liters of petrol. How far would it travel in 4 liters of petrol?
A bus travels120 km with no. of liters of petrol=5 liters
Let the bus travels the no. of km with 4 liters of petrol be x.
Therefore, the bus travels 96 km with 4 liters of petrol.
VIII. 9 workers can dig 7 m long trench in one day. How many workers would dig 25 m long trench of the same type in 1 day?
No. of workers can dig 7 m long trench in one day=9
Let the no. of workers dig 25 m long trench in one day=x
Since they are in direct proportion,
Therefore, 32 workers were required to dig a trench in one day.
IX. If two pens cost Rs 50, how many pens can you buy for Rs 250?
Two pens cost= Rs 50
Let the number of pens can buy for Rs 250 is x.
2 × 250=50x
Therefore, 10 pens can be bought for Rs 250.
X. 3 bags of wheat weigh 150 kg. How many such bags will weigh 900 kg?
Weight of 3 bags of wheat=150 kg
Let the number of bags weighing 900 kg be x.
since it is direct proportion,
Therefore, 18 bags of wheat will weigh 900kg.