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
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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