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Solve following

a) What number is 45% of 120?

b) 81 is 75% of what number?

c) What percent of 260 is 78?

Short Answer

Expert verified

a) 54 is 45% of 120.

b) 81 is 75% of 108.

c) 30 percent of 260 is 78.

Step by step solution

01

Step. 1 Given information 

a) What number is 45% of 120?

b) 81 is 75% of what number?

c) What percent of 260 is 78?

02

Step. 2 Concept 

A percentage is anumber or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It represented by the symbol 鈥%鈥.

03

Step. 3 Solution of part a 

We have to calculate 45% of 120.

To find percentage of any number we just multiply the given number with given percentage and divide by 100.Thus

12045100=5400100

45% of 100 = 54

54 is 45% of 120.

04

Step. 4 Solution of part b 

We have to find 81 is 75% of what number?

Let the number is x . Thus

x75100=81x=8110075x=108

Thus 81 is 75% of 108 .

05

Step. 5 Solution of part c 

We have to find What percent of 260 is 78? Let x% of 260 is 78.

Then260x100=78x=78100260x=30

Thus 30 % of 260 is 78.

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