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Question
A man travelled 60 km by car and 240 km by train. Find what per cent of total journey did he travel by car and what per cent by train?
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Solution
Distance covered by car = 60 km
Distance covered by train = 240 km
∴ Total journey = 60 + 240 = 300 km
Let x% of total journey is travelled by car.
Then, x% of 300 = 60
⇒ `x/100 xx 300 = 60`
⇒ `x = (60 xx 100)/300`
⇒ x = 20%
Let y% of total journey is travelled by train.
Then, y% of 300 = 240
⇒ `y/100 xx 300 = 240`
⇒ `y = (240 xx 100)/300`
⇒ y = 80%
Hence, 20% distance is travelled by car and 80% distance Is travelled by train.
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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
- Calculate your ideal weight as per your height from the table given at the end of this question.
- An active child should eat around 55.11 calories for each kilogram desired weight.
- 55 per cent of calories should come from carbohydrates. There are 4 calories in each gram of carbohydrates.
- 15 per cent of your calories should come from proteins. There are 4 calories in each gram of proteins.
- 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
- Ideal weight = 40 kg.
- The number of calories needed = 40 × 55.11 = 2204.4
- 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) - 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. - 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
- Your ideal desired weight is ______ kg.
- The quantity of calories you need to eat is ______.
- The quantity of protein needed is ______ g.
- The quantity of fat required is ______ g.
- 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 |
