Increasing or Decreasing a Ratio

Q.

Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4.

Find the original quantity of water content in the mixture.

1. 15 litres

2. 18 litres

3. 12 litres

4. 21 litres

Q.

Compare the following ratios.

$4:7$ and $5:6$

Q. Question 9
The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Q.

Amita and Balu applied for a typist's job. Amita can type 120 words per minute while Balu can type 80 words in 50 seconds. The employer wants to select the one with the fastest typing speed. Who will get the job?

1. Both Amita and Balu, since their rate of typing is same.

2. Can't be determined

3. Balu

4. Amita

Q.

Which is greater ratio ?

$5:6or7:8$

Q.

Fireplace Service company provides fireplace cleaning services and has variable costs of $\$100$ per fireplace cleaning and revenue of $\$250$.

Their contribution margin is $\$\_\_\_\_\_$.

Q.

Write the following ratios in ascending order $4:3,7:10,4:7$

Q.

Which is greater $3:7or5:9?$

Q.

Compare the following ratios.

$16:21$ and $18:25$

Q.

Compare the following ratio:

$9:20and8:13$

Q.

Write these ratios in ascending order :

$1:4,4:20,20:120$

Q.

If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

1. 10 litres

2. 12 litres

3. 30 litres

4. 20 litres

Q.

Two numbers are in the ratio 10:4 and when 3 is added to both the numbers ratio becomes 3:1. Find the numbers.

1. -30 and -12

2. 27 and 9

3. -20 and -8

4. 30 and 12

Q.

Write these ratios in ascending order :

$3:4,9:10,7:8$

Q.

Compare the ratios $1:8$and $4:11$.

Q.

Which ratio is greater: $15:27or32:40$

Q.

The sides of a rectangle are in the Ratio 8 : 10. By what fraction should the shorter side be increased to make it a square?

1. $\frac{3}{4}$

2. $\frac{1}{2}$

3. $\frac{2}{5}$

4. $\frac{1}{4}$

Q.

Fill up the blank in the following statement using $<$, $>$ or $=$ :

$11:19$_____ $19:21$

Q. If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

Q.

Compare the ratios $7:9and6:5$.

Q.

Two quantities were in the ratio 1 : 4. On increasing the smaller one by 6 and decreasing the Larger one by 6, The quantities are now in the ratio 7 : 13.

What were the original quantities ?

1. 4 and 16

2. 10 and 40

3. 7 and 28

4. 8 and 32

Q.

Question 47

​​​​​​​Sate weather the given statement is true or false.

Length of a side of an equilateral triangle and its perimeter vary inversely with each other.

Q.

Which ratio is greater: $7:10$ or $35:40$

Q.

Write these ratios in ascending order :

$3:4,1:2,2:3$

Q. Which of the following quantities ($x,y$) vary directly or inversely with each other.
Numbers of article $x$ and their price $y$.

Q. Sort the ratios in increasing order.

1. 157:297
2. 146:297
3. 17:33
4. 13:27

Q.

Write these ratios in ascending order:

$6:4,4:16,4:8$

Q.

Compare the following ratios.

$19:47$ and $8:23$

Q.

Compare the ratios $\frac{3}{8},\frac{5}{24},\frac{7}{3}$ and and write them in descending order.

Q. A box contains balls of black, blue and green colours. If the ratio of black and blue balls is 5:6 and the ratio of blue and green balls is 3:5, then find the ratio of black and green balls.