Ratio Calculation | MCQs

Explanation

To find the ratio of passed to failed students:

Number of students who passed = Total students - Failed students

= 112 - 14

= 98

Ratio of passed to failed students = 98 : 14

Simplify the ratio by dividing both numbers by 14:

Ratio = 98/14 : 14/14

= 7 : 1

Explanation

Given that 40% of a number is equal to two-third of another number, we need to find the ratio of the first number to the second number.

Let's assume that the first number is x and the second number is y. 40% of x is equal to 2/3 of y.

We can write this as: 0.4x = 2/3 y To find the ratio of x to y, we can divide both sides by y: 0.4x/y = 2/3

Simplifying further, we get: x/y = (2/3)/(0.4) x/y = 5/3

Therefore, the ratio of the first number to the second number is 5:3.

Explanation

We are given:

• 12 men + 16 boys complete the work in 5 days

• 13 men + 24 boys complete the work in 4 days

• We need to find the ratio of the daily work done by a man to that of a boy.

Step 1: Let M be work done by 1 man in 1 day and B be work done by 1 boy in 1 day

5(12M+16B)=1

4(13M+24B)=1

Step 2: Convert to equations

12M+16B=⅕

4(13M + 24B) = 1​

Step 3: Solve for M and B

Multiply first equation by 4:

48M+64B=⅘

Multiply second equation by 5:

65M+120B=5/4

Convert fractions:

4/5=0.8,5/4=1.25

Solving simultaneously:

Using elimination: Multiply (48M + 64B = 0.8) by 5:

240M+320B=4240M + 320B = 4240M+320B=4

Multiply (65M + 120B = 1.25) by 4:

(260M+480B)- (240M + 320B) =5-4

20M + 160 b = 1

Dividing by 20:

M+8B=1/20M 

Substituting M = 2B from Question 69:

2B+8B=1/20

10B=20/1​

 B=1/200B

​ M=2×1/200=2/200=1/100M

Thus, ratio M:B = 2:1.

Explanation

Total = 11 + 5 = 16 

Then 11-5 =6 

6x =1200 

= 1200/ 6 

x = 200

Total amount = 16 x 200 

= 3200

Explanation

Let total money be X

According to the question, we have the equation:

x/6 + x/8 + x/2 + 55 = x

Multiply through by 24 to eliminate the fractions, we get:

4x + 3x + 12x + 1320 = 24x

19x + 1230 = 24x

Subtracting 19x from both sides. 

we have:

1320 = 5x

Dividing both sides by 5, we get:

x = 264

Explanation

Three persons A.B C invested an amount of 12 lac Rupees lio 2:3:5, What is the investment amount of person A?

Total amount = 1200000

   A  : B :  C

   2 : 3 : 5

Total ratio=2+3+5=10

 Ratio of A =2/10*120000

                  =2400000

                  =2.4lac

Sh6-8-2023

Explanation

A firm announces a total of 63 posts. If the ratio of ordinary to officer staff must be kept as 6:3 , how many posts are there for the officers 

Post=63

ordinary: Office

     6      :    3

Sum of ratio = 6+3 =9

officer post =3/9*27

                   =21

Sh6-8-2023

Explanation

a : b :c

5  :6

    6  : 7

30:36:42

15:18:21

5:6:7

Explanation

Explanation

If 1/3 of the tank holds 80 litres, we can set up a proportion to find the total capacity of the tank:

1/3 × Total Capacity = 80 litres

To find the total capacity, we can multiply both sides by 3:

Total Capacity = 80 litres × 3

= 240 litres

Now, we can find the quantity of water that 1/2 tank holds:

1/2 × Total Capacity = 1/2 × 240 litres

= 120 litres