Explanation

To solve the proportion:

x : 12 :: 3 : 4

We can set up an equation based on the ratio:

x/12 = 3/4

Cross-multiply:

4x = 3 * 12

4x = 36

Divide both sides by 4:

x = 36/4

x = 9

Explanation

To find the ratio, we need to convert both measurements to the same unit. Let's convert feet to inches (1 foot = 12 inches).

3 feet = 3 * 12 = 36 inches

Now, the ratio is:

36 inches : 16 inches

To simplify, divide both numbers by their greatest common divisor (GCD), which is 4:

36 ÷ 4 = 9

16 ÷ 4 = 4

The simplified ratio is:

9/4

Explanation

Junaid starts with Rs. 600.

He gives one-fourth (1/4) to Awais:

Amount given to Awais = 600 * (1/4) = Rs. 150

Remaining amount = 600 - 150 = Rs. 450

He then gives half of the remaining amount to Hamza:

Amount given to Hamza = 450 * (1/2) = Rs. 225

Remaining amount = 450 - 225 = Rs. 225

The amount left with Junaid is:

Rs. 225

Explanation

( ) is commonly referred to as Parenthesis.

But it is also known as Circled bracket or Curved brackets.

Explanation

The absolute value of a number represents its distance from zero on the number line, regardless of direction.

So, | -4 | = 4.

Explanation

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

The last two digits of 9128 are 28, and 28 ÷ 4 = 7, which is divisible by 4.

Explanation

Every number has at least two factors: 1 and the number itself.

For example, the number 7 has factors 1 and 7, making two factors in total.

Explanation

In the equation 42 ÷ 6 = 7, the number 6 is the divisor.

The divisor is the number by which another number (42) is divided to give the result (7).

Explanation

Discount percentage = (Discount / Original Price) * 100

Discount = Rs. 2.50

Original Price = Rs. 50

Discount percentage = (2.50 / 50) * 100

= 5%

Explanation

If 10 composers type a 75-page book in 5 days, their rate is:

75 pages / 5 days = 15 pages per day

For a 45-page book:

45 pages / 15 pages per day = 3 days