Direct Proportion

Q.

15 workers can build a wall in $20days$. How many workers will build the wall in $12days$?

Q. If the ratio of two quantities is always constant, then, they are in direct proportion. True or False.

1. False
2. True

Q. If the cost of 10 note books is ₹250, then the cost of 15 note books is .

1. ₹375
2. ₹275
3. ₹250

Q. At a birthday party of 10 children, there were 40 chocolates kept for distribution. 15 more children joined the party and chocolates were bought from the shop. However, when 5 more children joined, the shop was closed, so the existing chocolates had to be distributed among all the children. How many chocolates did each child get?

1. 3
2. 5
3. 2
4. 4

Q. If $x_1:y_1$ and $x_2:y_2$ are in direct proportion, then:

1. $\frac{x_1}{x_2}=\frac{y_1}{y_2}$
2. $x_2\times y_2=x_1\times y_1$
3. $x_2\times y_1=x_1\times y_2$
4. $\frac{x_2}{y_1}=\frac{x_1}{y_2}$

Q.

Given that $x$ and $y$ are in direct proportion, and $y_1,y_2$ are values of $y$ corresponding to the values $x_1,x_2$ of $x$ respectively. Which of the following is correct?

1. x₁y₂=x₂y₁

2. x₁y₁=x₂y₂

3. =

4. x₁x₂=y₁y₂

Q. If the cost of 6 candies is ₹ 36 then, find the cost of 10 candies.

1. ₹36
2. ₹40
3. ₹60
4. ₹50

Q.

Are the following number in proportion$?$

$15,45,5,25$

Q. Choose all statements which are correct.

1. If two quantities are in direct proportion, then one quantity will be a multiple of another.
2. If two quantities are in direct proportion, then if one quantity increases, the other quantity doubles.
3. If two quantities are in direct proportion, they cannot be equal.
4. If two quantities are in direct proportion, then if one quantity increases, the other quantity increases by the same factor.

Q.

A pack of sugar weigh 2 kg and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

1. 2×

2. 2.4×

3. 3.4×

4. 3x10

Q. If 6 pens cost ₹48, then pens can be purchased for ₹240.

1. 24
2. 30
3. 20

Q. An electric pole, 15 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is _____ m.

1. 140
2. 480
3. 280
4. 450

Q.

The distance between two places X and Y is$600km$. If it is represented on a map by $40cm$, what is the scale of this map for $1cm?$

Q. 12 elephants in an elephant camp consumed 240 kg of jaggery everyday. If 3 more elephants were brought to the camp, how much more jaggery would be needed to feed them?

1. 24 kg
2. 30 kg
3. 300 kg
4. 60 kg

Q. At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?

1. 7.2 m
2. 9.0 m
3. 9.6 m
4. 10.2 m

Q.

A pack of 2 kg of sugar contains $8\times {10}^6$ crystals and a sack contains 3 packs of sugar.

How many crystals would 12 sacks contain?

1. 3×

2. 2.88×

3. 2×

4. 3.88×

Q.

Rahul, Reena and Ruhi want to divide $₹1072$ amongst themselves in the ratio of $\frac{1}{4}:\frac{2}{3}:\frac{1}{5}$ respectively. Find the share of each of them.

Q. Express 150% as a ratio in the lowest terms.

Q. When the quantity of commodities purchased increases, the price ______

1. Increases
2. Decreases
3. Remains constant
4. The two quantities have no direct relation

Q. A family of six requires 30 kg of food per month. If six guests stayed over at their house for 10 days, how much extra food (in kg) would be required?

1. 30
2. 15
3. 10
4. 6

Q.

Susan has $4$ gallons of juice. how many cups of juice does she have?

Q. A person on a special diet containing 20% of fat gained 5 kg in a month. If his diet had 30% fat, then how much weight would he have gained?

1. 2.5 kg
2. 15 kg
3. 7.5 kg
4. 5 kg

Q.

Given that x and y are in direct proportion, and $y_1,y_2$ are values of $y$ corresponding to the values $x_1,x_2$ of $x$ respectively. Which of the following is correct?

1. x₁y₁=x₂y₂

2. x₁x₂=y₁y₂

3. =

4. x₁y₂=x₂y₁

Q.

A machine in a soft drink factory fills 480 bottles in six hours. How many bottles will it fill in 2 days?

1. 4800

2. 960

3. 3840

4. 2840

Q.

In a test which has questions of 100 marks, Aamir scores 54 marks while Usha loses 34 marks in her paper.
The ratio of the marks of Aamir to that of Usha is same as that of the marks obtained by Preeti and Kunal.
If Preeti scored 72 marks, how much did Kunal score?

1. 99

2. 100

3. 80

4. 88

Q.

Candy bars were distributed equally among students of a class. The number of candy bars each student got was one-eighth of the number of students. Had the number of students been half, each student would have got 16 candy bars. What is the total number of candy bars that were distributed? [4 MARKS]

Q. Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute. 10 such machines can produce toys in 5 minutes.

1. 2700
2. 3500
3. 4200
4. 4500

Q. A zoo had 5 tigers. The tigers ate 120 kg of meat everyday. If 3 more tigers are adopted by the zoo the following year, how much meat will be required everyday?

1. 196 kg
2. 192 kg
3. 160 kg
4. 172 kg

Q.

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow 5 m long. Painting is done at the rate of ₹ 5 per cm.

1. ₹4375

2. ₹ 5425

3. ₹ 3680

4. ₹3450

Q.

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, the number of toys that 10 such machines produce in 5 minutes would be ___