Relation for Direct Proportion

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What do you understand by IPO cycle?

Q. Concert tickets usually cost 120 4/5 per person .For students they are priced at 1/4 of the normal cost.How much will 6 tickets cost for students?

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Question 10.
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

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A car Is travelling at the average speed of $50km/hr$. How much distance would it travel in $12$ minutes.

Q. An electric pole, 14 m high, casts a shadow of 10 m. Find the height of a tree that casts a shadow of 15 m.

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In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

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A box contains $8$ strips having $15$ capsules of $250mg$ medicine in each capsule. Find the total weight in $grams$ of medicines in $50$ such boxes.

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Question 08.
Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

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A $5\text{m 60 cm}$ high vertical pole casts a shadow $3\text{m 20 cm}$ . Find at the same time the length of the shadow cast by another pole $10\text{m 50 cm}$ .

Q. One litre of petrol costs ₹ $63\frac{3}{4}$ . What is the cost of 34 litres of petrol?

Q.

A pole 14 m high casts a shadow of 10 m. At the same time, what will be the height of a tree, the length of whose shadow is 7 metres ?

(a) 20 m (b) 9.8 m

(c) 5 m (d) none of these

Q.

If the distance travelled by a rickshaw in one hour is $10km$, then the distance travelled by the same rickshaw with the same speed in one minute is

$\left(a\right)\frac{250}{9}m\left(b\right)\frac{500}{9}m\left(c\right)1000m\left(d\right)\frac{500}{3}m$

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Question 49

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

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A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is

(a) 100 litres
(b) 50 litres
(c) 25.16 litres
(d) 25 litres

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A machine fills 420 bottles in 3 hours. How many bottles will it fill in 5 hours ?

(a) 252 (b) 700 (c) 504 (d) 300

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The variable $x$ is inversely proportional to $y.$ If $x$ increase by $p\%$, then by what per cent will $y$ decrease?

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A basket contains four types of fruits weighing 20 kg in all. If 19/4 kg of these are apples, 37/6 kg are oranges, 27/5 pears and the rest are papayas. What is the weight of the papayas in the basket?

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We have to form different words with the letters of the word $INTEGER$. Let $m_1$ be the number of words in which $I\&N$ are never together and $m_2$ be the number of words which begin with $I$ and end with $R$, then $\frac{m_1}{m_2}$is equal to?

1. $30$

2. $60$

3. $90$

4. $180$

Q. A train travels 112 km in 1 hour 30 minutes with a certain speed. How many kilometres it will travel in 4 hours 45 minutes with the same speed?

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Question 104

Many schools have a recommended students teachers ratio as 35:1.
Next year, school expects an increase in enrollment by 280 students.
How many new teachers will they appoint to maintain the students -teachers ratio?

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Question 50

If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

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A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? (Use t for flying time in minutes.)

Q. 14 typists typing 6 hours a day can take 12 days to complete the manuscript of a book. How many days will 4 typists, working 7 hours a day, can take to do the same job?

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Question 79 (i)

If 25 meters of cloth costs Rs. 337.50, then
What will be the cost of 40 metres of the same type of cloth?

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Question 69

Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

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In $8$ days, the earth picks up $(6.4\times {10}^7)kg$ of dust from the atmosphere. How much dust will it pick up in $15$ days?

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If 18 dolls cost ₹630, how many dolls can be bought for ₹455?

1. 9

2. 11

3. 13

4. 15

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8 taps having the same size, fill a tank in 27 minutes. If two taps go out of order, how long would the remaining taps take to fill the tank ?

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A car is travelling at the average speed of 50 km/hr. How much distance would it travel in 1 hour 12 minutes ?

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A book has $360$pages. Ajay reads$\frac{11}{18}$ the book in a week, while Seema reads $\frac{7}{10}$the book in a week. Who reads faster, by what fraction, and by how many pages?