Question

The sum of 20% and 30%of numbers is 324 find 75% of that number​

Answer 1

Answer:

37 ½

Step-by-step explanation:

What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90

So, 18% of 500 = 18100 × 500 = 18 × 5 = 90

To find the percent of a given number let us consider some of the following examples.

1. Find 50% of 75.

Solution:

50% of 75

 

= 50 × 1/100 × 75

= 50/100 × 75

= (50 × 75)/100

= 3750/100

= 3750/100 ÷ 50/50

[Divide the numerator and denominator by 50]

= 75/2

To Find the Percent of a Given Number

= 37 ½

Answer: 37 ½

Answer 2

Given:

Sum of 20 % and 30 % of a number = 324

Find:

75 % of the number

Answer:

75% of the number = 486

Solution:

Let the number be n.

20 % of the number = 20% of n

                                 = (20/100) × n

                                 = 0.2n

30 % of the number = 30% of n

                                 = (30/100) × n

                                 = 0.3n

According to the question, we have

20 % of the number + 30 % of the number = 324

0.2n + 0.3n = 324

0.5n = 324

n = 324/0.5

n = (324×10)/5

n = 648

∴ Number = n = 648

Now, we need to find out 75 % of the number.

75 % of the number = 75 % of n

                                 = (75/100) × (648)

                                  = 486

Hence, 75% of the number is 486.

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