Explanation

Ratios measure the relationship between two or more components of financial statements.

It helps management to forecast and plan for the future, new goals, concentrate on the different markets, etc

Explanation

Explanation

To find the fraction of green marbles, we need to calculate the total number of marbles first.

Sara has:

- 5 red marbles

- 3 green marbles

- 2 blue marbles

Total marbles = 5 (red) + 3 (green) + 2 (blue) = 10 marbles

Next, we determine the fraction of green marbles out of the total marbles:

Fraction of green marbles = Number of green marbles / Total number of marbles

Fraction of green marbles = 3 / 10

Explanation

150:100, the ratio of number of boys to girls.

15:10, ratio reduced.

3:2, the ratio reduced more.

therefore the ratio of the number of boys to girls is 3:2.
ND-5-09--023

Explanation

Let  3x = 4y  = 5z =k

x = k/3 ,y =k/4 ,z =k/5

x : y : z = k/3 : k/4 : k/5

x : y : z =  20 :15 :12

Sh1-9-2023

Explanation

Total parts = 6 + 4 = 10; each part = 1300 ÷ 10 = Rs. 130

Smallest part = 4 × 130 = Rs. 520

Explanation

Given:

a:b = 2:3

b:c = 5:3

First, make the b values equivalent:

a:b = 2:3 = 2 × 5 : 3 × 5 = 10:15

b:c = 5:3 = 5 × 3 : 3 × 3 = 15:9

Now, a:b:c = 10:15:9

Explanation

Let the two consecutive integers be x and x+1.

Their sum is given by: 

x+(x+1)=31

Simplify and solve for  

x: 2x+1=31

2x=30

Divide both sides by 2:

x=15

So, the two consecutive integers are:

15 and 15+1=16

Answer: 15 and 16

Explanation

To find the ratio of girls to all children:

Number of girls = 24

Total number of children = 8 (boys) + 24 (girls) = 32

Ratio of girls to all children = 24/32 = 3/4

Explanation

• 1. The ratio of length to breadth is 3:2. Let's assume the length is 3x and the breadth is 2x.
• 2. The perimeter of the rectangular park is 2(3x + 2x) = 10x.
• 3. The man completes one round in 8 minutes at a speed of 12 km/hr. Convert the speed to meters per minute:

12 km/hr = 12,000 m/60 min = 200 m/min

• 1. The distance covered in 8 minutes is:

200 m/min × 8 min = 1600 m
Since the man completes one round, the perimeter of the park is 1600 m:
10x = 1600
x = 160
Now, find the length and breadth:
Length = 3x = 3 × 160 = 480 m
Breadth = 2x = 2 × 160 = 320 m
Finally, calculate the area:
Area = Length × Breadth = 480 × 320 = 153,600 sq. m