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A ______ with its denominator 100 is called a per cent. - Mathematics

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प्रश्न

A ______ with its denominator 100 is called a per cent.

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उत्तर

A fraction with its denominator 100 is called a per cent.

Explanation:

  • The term percent literally means per hundred.

  • A fraction with denominator 100 represents a percentage.

For example:

`45/100 = 45%`

So, any fraction of the form `x/100` is called a percent, and is usually written with the % symbol.

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अध्याय 7: Comparing Quantities - Exercise [पृष्ठ २००]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 7 Comparing Quantities
Exercise | Q 30. | पृष्ठ २००

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If 14% of a number is 315; find the number.


Last year, oranges were available at Rs. 24 per dozen; but this year, they are available at Rs. 50 per score. Find the percentage change in the price of oranges.


Express:

700 gm as a percentage of 2.8 kg.


Only one-fifth of water is available in liquid form. This limited amount of water is replenished and used by man recurrently. Express this information as percent, showing:
(i) water available in liquid form.
(ii) water available in frozen form.


Find the number that is 50% more than 48


The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet.)

Cream of Tomato
Nutrition Facts
Serving Size 1 cup (240ml)
About 2 serving per Container
Amount Per Serving  
Calories 100 Calories from Fat 20
  % Daily Value*
Total Fat 2g 3%
Saturated Fat-1.5g 6%
Cholesterol 10mg 3%
Sodium 690mg 29%
Total Carbohydrate 17g 6%
Dietary Fibre 4 gram 18%
Sugar 11g  
Protein 2g  
Vitamin A 20% Vitamin C 20%
Calcium 0% Iron 8%
*Per cent Daily Values are based on a 2,000 calorie diet.

One serving of cream of tomato soup contains 29% of the recommended daily value of sodium for a 2000 calorie diet. What is the recommended daily value of sodium in milligrams? Express the answer upto 2 decimal places.


Find the value of x if 45% of marks x is 405.


When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines

  1. Calculate your ideal weight as per your height from the table given at the end of this question.
  2. An active child should eat around 55.11 calories for each kilogram desired weight.
  3. 55 per cent of calories should come from carbohydrates. There are 4 calories in each gram of carbohydrates.
  4. 15 per cent of your calories should come from proteins. There are 4 calories in each gram of proteins.
  5. 30 per cent of your calories may come from fats. There are 9 calories in each gram of fat.

Following is an example to design your own healthy diet.

Example

  1. Ideal weight = 40 kg.
  2. The number of calories needed = 40 × 55.11 = 2204.4
  3. Calories that should come from carbohydrates = 2204.4 × 0.55 = 1212.42 calories.
    Therefore, required quantity of carbohydrates = `1212.42/4` = 303.105 g = 300 g. (approx)
  4. Calories that should come from proteins = 2204.4 × 0.15 = 330.66 calories.
    Therefore, required quantity of protein = `330.66/4` g = 82.66 g.
  5. Calories that may come from fat = 2204.4 × 0.3 = 661.3 calories.
    Therefore, required quantity of fat = `661.3/9` g = 73.47 g.

Answer the Given Questions

  1. Your ideal desired weight is ______ kg.
  2. The quantity of calories you need to eat is ______.
  3. The quantity of protein needed is ______ g.
  4. The quantity of fat required is ______ g.
  5. The quantity of carbohydrates required is ______ g.
Ideal Height and Weight Proportion
Men Women
Height Weight Height Weight
Feet cm Kilograms Feet cm Kilograms
5’ 152 48 4’7” 140 34
5’1” 155 51 4’8” 142 36
5’2” 157 54 4’9” 145 39
5’3” 160 56 4’1” 147 41
5’4” 163 59 4’11” 150 43
5’5” 165 62 5’ 152 45
5’6” 168 65 5’1” 155 48
5’7” 170 67 5’2” 157 50
5’8” 173 70 5’3” 160 52
5’9” 175 73 5’4” 163 55
5’10” 178 75 5’5” 165 57
5’11” 180 78 5’6” 168 59
6’ 183 81 5’7” 170 61
6’1” 185 84 5’8” 173 64
6’2” 188 86 5’9” 175 66
6’3” 191 89 5’10” 178 68
6’4” 193 92 5’11” 180 70

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