Continued Proportions

Q.

Question 54

In a year, Ravi earns Rs. 360000 and paid Rs. 24000 as income tax.
Find the ratio of his
a) income to income tax.
b) income tax to income after paying income tax.

Q. Five numbers are in continued proportion. The first term is 5 and the last term is 80. Find the third number?

1. 10
2. 15
3. 20
4. 25

Q.

An engine pumps out $950litres$ of water in a minute. How much time will it take to pump out $13,96,500litres$of water?

Q. Five numbers are in continued proportion. The first number is 5 and the last number is 80. Find the third number.

Q. If x, y and z are in continued proportion then $z:x::z^2:$ ____.

1. $x^2$
2. $y^2$
3. $y$
4. $z^3$

Q.

What should be added to each of the numbers 13, 17 and 22 so that, the resulting numbers are in continued proportion?

Continued proportion means a:b : : b:c

1. 4

2. 6

3. 3

4. 5

Q.

Question 01.
Following are the car parking charges near a railway station up to:

$\begin{array}{cc}4hours& Rs.60\\ 8hours& Rs.100\\ 12hours& Rs.140\\ 24hours& Rs.180\end{array}$

Check if the parking charges are in direct proportion to the parking time.

Q. What number should be added to each of the numbers 13, 17, and 22 so that, the resulting numbers are in continued proportion?

Q.

Divide $₹560$ between Ramu and Munni in the ratio $3:2$

Q.

A bicyclist covered $\frac{5}{7}$ of his route and an additional $40\text{miles}$.

He has yet to cover $118\text{miles}$ less than $0.75$ of his route.

How long is his route?

Q.

If x, y and z are in continued proportion then $z:x::z^2:y^2$.

Continued proportion means a:b : : b:c

1. True

2. False

Q. Which of the following numbers are in continued proportion?

1. 2, 4, 8
2. 1, 2, 3
3. 3, 9, 27
4. 3, 5, 8

Q.

A truck requires $108litres$of diesel for covering a distance of $594km.$ How much diesel will be required by the truck to cover a distance of $1650km$?

Q. Find out the third proportional to 16 and 36

Q. Ratios are in proportion.

1. 2:3 and 4:5
2. 4:5 and 12:15
3. 3:1 and 9:1
4. 3:4 and 6:4

Q. If x, y and z are in continued proportion then $z:x::z^2:y^2$.

1. True
2. False

Q.

Form the linear equation for the statement and then solve

$3$ taken away from $4$ times a number is $9$. Find the number.

Q.

Fill in the blanks.

If $x,24,9,12$ are in proportion, then $x=$___________ .

Q. If x, y and z are in continued proportion then prove that $z:x::z^2:y^2$. [2 Marks]

Q.

Check whether $0.4,0.5,2.8,3.5$ are proportional or not:

Q.

If $10$ men take $6$ days to construct a garage, how many more men are needed if the garage is constructed in $5$ days?

Q. Find the third proportional to:
(i) $36$ and $18$
(ii) $5.25$ and $7$
(iii) Rs. $1.60$ and Rs. $0.40$

Q. What should be added to each of the numbers 13, 17 and 22 so that, the resulting numbers are in continued proportion?

1. 3

Q.

Find the missing terms of the following proportions:

$16:7::240:\_\_\_$

Q. Which of the following numbers are in continued proportion?

1. 2, 4, 8
2. 1, 2, 3
3. 3, 9, 27
4. 3, 5, 8

Q.

The first, third and the fourth terms of a proportion are $6,36,and48,$ respectively. Find the second term.

Q.

If a, b, and c are in continued proportion, then $a\times c=b^2$.

Continued proportion means a:b :: b:c

1. True

2. False

Q. 2 :3 :: 6 : x are in proportion. Find x.

1. 9
2. 4
3. 18
4. 12

Q.

Check whether $0.8,4,3,15$ are proportional or not:

Q. Find the third proportional to
$36,18$