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Explanation

The mean proportional between two numbers a and b is a number x such that: a : x :: x : b

In this case, we want to find the mean proportional between 64 and 81.

Let's set up the proportion: 64 : x :: x : 81

We can rewrite this as: 64/x = x/81

Cross-multiplying, we get: 64 × 81 = x^2

Simplifying, we get: 5184 = x^2

Taking the square root of both sides, we get:

x = √5184

x = 72

So, the mean proportional between 64 and 81 is 72.

Explanation

To find the ratio between their ages, we need to convert their ages to a common unit (months):
Ashraf's age:
15 years × 12 months/year = 180 months

- 10 months = 190 months

Akmal's age:
17 years × 12 months/year = 204 months

- 5 months = 209 months

Now, find the ratio:
Ashraf's age : Akmal's age = 190 : 209
Simplify the ratio:
190 ÷ 19 = 10
209 ÷ 19 = 11
So, the ratio is:
10 : 11

Explanation

If x, y, and z are in proportion, then the correct option will be x: y:: y: z.

Step-by-step explanation:

A proportion is an equation in which two ratios are set equal to each other.

If 3 numbers are in proportion to each other then their ratios should be equal to one another.

ND12_8_2023

Explanation

To find the ratio, divide the number of red cars by the number of green cars:

42 (red) ÷ 14 (green) = 3

So, for every 1 green car, 3 red cars were sold. Hence, the ratio is 3:1.

Explanation

If 8 men eat 16 mangoes in 15 minutes, it means each man eats 16/8 = 2 mangoes in 15 minutes.

So, in 30 minutes, each man will eat 2×2 = 4 mangoes.

Therefore, if there are 16 men eating for 30 minutes, they will eat 16×4 = 64 mangoes.

Explanation

The ratio of boys to girls is given as 3:4, and the total number of students in the class is 28.

Step 1: Add the parts of the ratio

Step 2: Calculate the value of one part

Each part of the ratio represents:

Step 3: Find the number of boys

The boys' share is 3 parts, so:

Explanation

Let third number = x

First number = 120/100 x = 6x/5

Second number = 150/ 100x = 3x/2

Ratio of two numbers = 6x/5 : 3x/2 = 12x : 15x = 4:5

Explanation

For distribution between A & B the proportion has to be 2:3

Thus when A gets 2 units, B gets 3 units

So A gets ₹20/- & B gets ₹30/-

Distribution between B & C has to be 2:3

If ₹30 is 2, then 3 has to be ₹45/-

So ₹ 95,000/- to be divided between A, B & C shall have to be in the proportion of

20:30:45

Thus A gets ₹20′000/- B gets₹30′000/- and C gets ₹45000/-

Explanation

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively

Then, 4x - 3x = 1000

⇒ x = 1000

∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000

Explanation

Total amount =1000

Total parts of amount = 2+3 = 5

One part is + 1000/5 = 200

So Rabil amount part = 2 x 200 = 400