Explanation

When solving problems where A and B work together, you are essentially comparing their individual rates of work and how they combine to form a total rate.

This is a classic application of ratios and proportions. 

Explanation

Total students = 95  

Girls = 45  

So, Boys = 95 - 45 = 50

Ratio of boys to girls = 50 : 45

Simplify by dividing both by 5:

= 10 : 9

Explanation

The fourth proportion to numbers a, b,c is the number x such that:

a/b = c/x ⟹ x = b.c/a

Given: a = 3, b = 7, c = 9

x = 7.9/3 = 63/3 = 21

Explanation

Step 1: Convert 2 yards to inches.

1 yard = 36 inches → 2 yards = 2 × 36 = 72 inches

Step 2: Write the ratio of 18 inches to 72 inches:

18 : 72

Step 3: Simplify by dividing both by 18:

1 : 4

Explanation

To simplify the ratio 360 : 270:

Step 1: Find the GCD (Greatest Common Divisor) of 360 and 270.  

GCD of 360 and 270 is 90.

Step 2: Divide both terms by 90:  

- 360 ÷ 90 = 4  

- 270 ÷ 90 = 3  

Simplified Ratio = 4 : 3

Explanation

Explanation

In direct proportion, y ∝ x ⇒ = kx.

k is the constant of proportionality; as x increases, y increases.

Explanation

Step 1: Total parts = 2 + 3 = 5

Step 2: Value of one part = 500 ÷ 5 = 100

Step 3: Highest part = 3 × 100 = 300

Explanation

Total parts = 3 + 5 = 8 → each part = 24 ÷ 8 = 3.

Women = 5 × 3 = 15.

Explanation

Total ratio = 4 + 6 + 5 = 15  

B’s share = (6/15) × 4800 = Rs. 1920