FIND GIVEN PERCENTAGE OF THE GIVEN QUANTITY

What is percent ?

In mathematics, a percentage is a number 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 “%”

Problem 1 :

What number is 45% of 120?

Solution :

Let x be a number.

The word ‘of’ is translated as ‘multiplication’ in math.

x = (45/100) ×120

 = 5400/100

x = 54

So, 54 is 45 % of 120.

Problem 2 :

250% of 65 is what number?

Solution :

Let x be a number.

The word ‘of’ is translated as ‘multiplication’ in math.

x = (250/100) × 65

 = (16250)/100

x = 162.5

So, 250 % of 65 is162.5.

Problem 3 :

800% of 2,250 is what number?

Solution :

Let x be a number.

The word ‘of’ is translated as ‘multiplication’ in math.

x = (800/100) ×2250

 = (1800000)/100

x = 18000

So, 800 % of 2250 is18000.

Problem 4 :

A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Solution :

Total number of problems = 20

= 80% of 20

= 0.80 (20)

= 16

So, for 16 problems he answered correctly.

Problem 5 :

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)

Solution :

Total number of carpenters = 36

Number of carpenters present = 29

Fraction part of the carpenters present = 29/36

Percentage of carpenters present = (29/36) x 100%

= 80.55%

Problem 6 :

A metal bar weighs 8.15 ounces. 93% of the bar is silver. How many ounces of silver are in the bar? (round to the nearest thousandth)

Solution :

Weight of metal bar = 8.15 ounces 

93% of the bar is silver.

93% of 8.15 = 0.93 (8.15)

= 7.57

So, 7.57 ounces of silver in the bar.

Problem 7 :

A woman put $580 into a savings account for one year. The rate of interest on the account was 6½%. How much was the interest for the year in dollars and cents? (Round to the nearest cent)

Solution :

Total savings = $580

Interest rate = 6½%

Interest = 6½% of 580

= 37.7

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