Explanation

Let's calculate the total number of items:

Total items = CDs + Pencils + Books + Mango

= 3 + 4 + 7 + 1

= 15

The ratio of CDs to total items is:

3 (CDs) : 15 (Total items)

Explanation

Ratio of boys to girls = 5:3

If 5 parts = 40 boys, then 1 part = 40 ÷ 5 = 8

Girls = 3 parts = 8 × 3 = 24 girls.

Explanation

Given:

a : b : c = 2 : 5 (let's assume a common multiple for b and c to match both ratios)

b : c = 3 : 7

To match both ratios, let's find the LCM for b in both ratios.

Given a : b = 2 : 5 and b : c = 3 : 7, let's make the ratios comparable by finding a common multiple for b.

For a : b = 2 : 5 and b : c = 3 : 7,

let's scale a : b : c = 2_3 : 5_3 : 5*7 = 6 : 15 : 35

Now b : c = 15 : 35 which simplifies to 3 : 7.

Given a : b : c = 6 : 15 : 35

a : c = 6 : 35

Explanation

If mango juice is 20%, then apple juice is 80% (since 100% – 20% = 80%).

The ratio of mango to apple juice is 20:80, which simplifies to 1:4.

Explanation

Let's assume 2/3 A = 3/4 B = 0.6C = 18

2/3 A = 18 ⇒ A = 27

3/4 B = 18 ⇒ B = 24

0.6C = 18 ⇒ C = 30

A:B:C = 27:24:30 = 9:8:10

Explanation

Given a : b : c = 3 : 4 : 7.

Let's find (a + b + c) : c or any other single term. Here we find (a + b + c) : a

a + b + c = 3 + 4 + 7 = 14

(a + b + c) : a = 14 : 3

Explanation

Let's denote the number of coins as 2x, 3x, and 4x for Rs 2, Rs 5, and Rs 10 coins, respectively.

The total value is:

2(2x) + 5(3x) + 10(4x) = 472

4x + 15x + 40x = 472

59x = 472

x = 8

Number of Rs 2 coins = 2x = 2(8) = 16

Explanation

Given x:y = 3:4 and y:z = 2:5.

To find x:z, we need to make y's ratio the same in both.

y:z = 2:5 = 4:10 (multiply both parts by 2)

Now, x:y = 3:4 and y:z = 4:10

So, x:z = 3:10.

Explanation

2A = 3B = 4C

Let k = 2A = 3B = 4C

Now solve for A, B, and C:

- A = k / 2  

- B = k / 3  

- C = k / 4

Now take the ratio A : B : C:

= (k/2) : (k/3) : (k/4)

Multiply all terms by 12 to eliminate denominators: = 6 : 4 : 3

Explanation

Let's assume the new bonus is 5x and the old bonus is 4x. Given the old bonus is 25000, so 4x = 25000.

x = 25000 / 4 = 6250.

New bonus = 5x = 5 × 6250 = 31250.