The per cent that represents the shaded region in the figure is:
- ✓$36\%$
- B$64\%$
- C$27\%$
- D$48\%$
Answer: A.
View full solution →Question types
Comparing Quantities question types
145 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
145
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
22 Q→021 Marks Question
71 Q→032 Marks Questions
24 Q→045 Marks Questions
7 Q→053 Marks Question
21 Q→Sample Questions
Comparing Quantities questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Amount received on $Rs. 3000$ for $2$ year at the rate of $11\%$ per annum is:
- ✓$Rs. 2340$
- B$Rs. 3660$
- C$Rs. 4320$
- D$Rs. 3330$
Answer: A.
View full solution →The per cent that represents the unshaded region in the figure, is:
- A$75\%$
- B$50\%$
- ✓$40\%$
- D$60\%$
Answer: C.
View full solution →If $90\%$ of $x$ is $315\km$, then the value of $x$ is:
- A$325\ km.$
- ✓$350\ km.$
- C$405\ km.$
- D$340\ km.$
Answer: B.
View full solution →A farmer bought a buffalo for $Rs. 44000$ and a cow for $Rs. 18000$. He sold the buffalo at a loss of $5\%$ but made a profit of $10\%$ on the cow. The net result of the transaction is:
- ALoss of $Rs. 200$
- BProfit of $Rs. 400$
- ✓Loss of $Rs. 400$
- DProfit of $Rs. 200$
Answer: C.
View full solution →If $A$ is increased by $20\%,$ it equals $B.$ If $B$ is decreased by $50\%,$ it equals $C.$ Then, _____$\%$ of $A$ is equal to $C.$
View full solution →A vendor purchased $720$ lemons at $Rs. 120$ per hundred. $10\%$ of the lemons were found rotten, which he sold at $Rs. 50$ per hundred. If he sells the remaining lemons at $Rs. 125$ per hundred, then his profit will be $16\%.$
View full solution →Out of a total deposit of $Rs. 1500$ in her bank account, Abida withdrew $40\%$ of the deposit. Now, the balance in her account is _____.
View full solution →Express $\frac{9}{40}$ as a per cent.
View full solution →In a class of $50$ students $8\%$ were absent on one day. The number of students present on that day, was ______.
View full solution →Find the value of $x,$ if: $45\%$ of marks $x$ is $405.$
View full solution →Find the value of $x,$ if:
$8\%$ of $Rs.x$ is ? $100.$
View full solution →$8\%$ of $Rs.x$ is ? $100.$
What sum of money lent out at $16\%$ per annum simple interest, so that it would produce $Rs. 9600$ as interest in $2$ year$?$
View full solution →Harish bought a gas-chullah for $Rs. 900$ and later sold it to Archana at a profit of $5\%.$ Archana used it for a period of two years and later sold it to Babita at a loss of $20\%.$ For how much did Babita get it$?$
View full solution →$150$ students are studying English, Maths or both. $62$ per cent of students study English and $68$ percent are studying Maths. How many students are studying both$?$
View full solution →Divide $Rs. 10000$ in two parts, so that the simple interest on the first part for $4$ year at $12\%$ per annum may be equal to the simple interest on the second part for $4.5$ yr at $16\%$ per annum.
View full solution →Imagine that, a $10 \times 10$ grid has value $300$ and that this value is divided evenly among the small squares. In other words, each small square is worth $3.$ Use a new grid for each part of this problem and label each grid “Value $: 300”.$ 
$a.$ Shade $25\%$ of the grid. What is $25\%$ of $300?$ Compare the two answers.
$b.$ What is the value of $25$ squares?
$c.$ Shade $17\%$ of the grid. What is $17\%$ of $300?$ Compare the two answers.
$d.$ What is the value of $\frac{1}{10}$ of the grid?
View full solution →$a.$ Shade $25\%$ of the grid. What is $25\%$ of $300?$ Compare the two answers.
$b.$ What is the value of $25$ squares?
$c.$ Shade $17\%$ of the grid. What is $17\%$ of $300?$ Compare the two answers.
$d.$ What is the value of $\frac{1}{10}$ of the grid?
Designing a Healthy Diet
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.
$3. \ 55\%$ of calories should come from carbohydrates. There are $4$ calories in each gram of carbohydrates.
$4. \ 15\%$ of your calories should come from proteins. There are $4$ calories in each gram of proteins.
$5. \ 30\%$ of your calories may come from fats. There are $9$ calories in each gram of fats.
Following is an example to design your own healthy diet.
Example:
$1.$ Ideal weight $= 40\ kg.$
$2.$ The number of calories needed $= 40 \times 55.11 = 2204.4$
$3.$ Calories that should come from carbohydrates
$= 2204.4 \times 0.55 = 1212.42$ calories.
Therefore, required quantity of carbohydrates
$=\frac{1212.40}{4}=303.105\text{g}=300\text{g.}$
$4.$ Calories that should come from proteins
$= 2204.4 \times 0.15 = 330.66$ calories.
Therefore, required quantity of protein
$=\frac{330.66}{4}\text{g}=82.66\text{g}.$
$5.$ Calories that may come from fat $= 2204.4 \times 0.3$
$= 661.3$ calories.
Therefore, required quantity of fat
$=\frac{661.3}{9}\text{g}=73.47\text{g.}$
$1.$ Your ideal desired weight is $.......... kg.$
$2.$ The quantity of calories you need to eat is $........g$
$3.$ The quantity of protein needed is $.........g.$
$4.$ The quantity of fat required is $.........g.$
$5.$ The quantity of carbohydrates required is $.........g.$
View full solution →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.
$3. \ 55\%$ of calories should come from carbohydrates. There are $4$ calories in each gram of carbohydrates.
$4. \ 15\%$ of your calories should come from proteins. There are $4$ calories in each gram of proteins.
$5. \ 30\%$ of your calories may come from fats. There are $9$ calories in each gram of fats.
Following is an example to design your own healthy diet.
Example:
$1.$ Ideal weight $= 40\ kg.$
$2.$ The number of calories needed $= 40 \times 55.11 = 2204.4$
$3.$ Calories that should come from carbohydrates
$= 2204.4 \times 0.55 = 1212.42$ calories.
Therefore, required quantity of carbohydrates
$=\frac{1212.40}{4}=303.105\text{g}=300\text{g.}$
$4.$ Calories that should come from proteins
$= 2204.4 \times 0.15 = 330.66$ calories.
Therefore, required quantity of protein
$=\frac{330.66}{4}\text{g}=82.66\text{g}.$
$5.$ Calories that may come from fat $= 2204.4 \times 0.3$
$= 661.3$ calories.
Therefore, required quantity of fat
$=\frac{661.3}{9}\text{g}=73.47\text{g.}$
$1.$ Your ideal desired weight is $.......... kg.$
$2.$ The quantity of calories you need to eat is $........g$
$3.$ The quantity of protein needed is $.........g.$
$4.$ The quantity of fat required is $.........g.$
$5.$ The quantity of carbohydrates required is $.........g.$
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Ideal Height and Weight Proportion
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Men
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Women
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Height
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Weight
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Height
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Weight
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Feet
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$cm$
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Kilograms
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Feet
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$cm$
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Kilograms
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$5’$
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$152$
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$48$
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$4’7”$
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$140$
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$34$
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$5’1”$
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$155$
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$51$
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$4’8”$
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$142$
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$36$
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$5’2”$
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$157$
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$54$
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$4’9”$
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$145$
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$39$
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$5’3”$
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$160$
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$56$
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$4’1”$
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$147$
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$41$
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$5’4”$
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$163$
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$59$
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$4’11”$
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$150$
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$43$
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$5’5”$
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$165$
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$62$
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$5’$
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$152$
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$45$
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$5’6”$
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$168$
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$65$
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$5’1”$
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$155$
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$48$
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$5’7”$
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$170$
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$67$
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$5’2”$
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$157$
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$50$
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$5’8”$
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$173$
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$70$
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$5’3”$
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$160$
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$52$
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$5’9”$
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$175$
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$73$
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$5’4”$
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$163$
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$55$
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$5’10”$
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$178$
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$75$
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$5’5”$
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$165$
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$57$
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$5’11”$
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$180$
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$78$
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$5’6”$
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$168$
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$59$
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$6’$
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$1834$
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$81$
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$5’7”$
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$170$
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$61$
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$6’1”$
|
$185$
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$84$
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$5’8”4$
|
$173$
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$64$
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$6’2”$
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$188$
|
$86$
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$5’9”$
|
$175$
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$66$
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$6’3”$
|
$191$
|
$89$
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$5’10”$
|
$178$
|
$68$
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$6’4”$
|
$193$
|
$92$
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$5’11”$
|
$180$
|
$70$
|
A doctor reports blood pressure in millimetres of mercury $(mm \ Hg)$ as a ratio of systolic blood pressure to diastolic blood pressure $($such as $140$ over $80)$. Systolic pressure is measured when the heart beats and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.
Manohar is a healthy $37$ year old man whose blood pressure is in the normal category.
$a.$ Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.
$b.$ If Manohar's systolic blood pressure is $102\ mm \ Hg,$ then use the ratio from part $(a)$ to predict his diastolic blood pressure.
$c.$ Calculate ratio of average systolic to average diastolic blood pressures in the prehypertension category.
View full solution →| Blood Perssure Ranges | |||
| Normal | Prehypertension | Hypertension | |
| Systolic | Under $120\ mm \ Hg$ | $120 - 139\ mm \ Hg$ | $140\ mm \ Hg$ and above |
| Diatolic | Under $80\ mm \ Hg$ | $80 - 89\ mm \ Hg$ | $90\ mm \ Hg$ and above |
$a.$ Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.
$b.$ If Manohar's systolic blood pressure is $102\ mm \ Hg,$ then use the ratio from part $(a)$ to predict his diastolic blood pressure.
$c.$ Calculate ratio of average systolic to average diastolic blood pressures in the prehypertension category.
Earth Science: The table lists the world’s $10$ largest deserts.
$a.$ What are the mean, median and mode of the areas listed?
$b.$ How many times the size of the Gobi Desert is the Namib Desert?
$c.$ What percentage of the deserts listed are in Asia?
$d.$ What percentage of the total area of the deserts listed is in Asia?
View full solution →| Largest Deserts in the World | |
| Desert | Area $(km^2)$ |
| Sahara $($Africa$)$ | $8,800,000$ |
| Gobi $($Asia$)$ | $1,300,000$ |
| Australian Desert $($Australia$)$ | $1,250,000$ |
| Arabian Desert $($Asia$)$ | $850,000$ |
| Kalahari Desert $($Africa$)$ | $580,000$ |
| Chihuahuan Desert $($North America$)$ | $370,000$ |
| Takla Makan Desert $($Asia$)$ | $320,000$ |
| Kara Kum $($Asia$)$ | $310,000$ |
| Namib Desert $($Africa$)$ | $310,000$ |
| Thar Desert $($Asia$)$ | $260,000$ |
$b.$ How many times the size of the Gobi Desert is the Namib Desert?
$c.$ What percentage of the deserts listed are in Asia?
$d.$ What percentage of the total area of the deserts listed is in Asia?
The cost of a flower vase got increased by $12\%.$ If the current cost is $Rs. 896,$ what was its original cost$?$
View full solution →The simple interest on a certain sum for $8$ year at $12\%$ per annum is $Rs. 3120$ more than the simple interest on the same sum for $5$ year at $14\%$ per annum. Find the sum.
View full solution →By selling a chair for $Rs. 1440$, a shopkeeper loses $10\%$. At what price, did he buy it$?$
View full solution →In an entertainment programme, $250$ tickets of $Rs. 400$ and $500$ tickets of $Rs.100$ were sold. If the entertainment tax is $40\%$ on ticket of $Rs. 400$ and $20\%$ on ticket of $Rs. 100,$ then find how much entertainment tax was collected from the
View full solution →Chalk contains $10\%$ calcium, $3\%$ carbon and $12\%$ oxygen. Find the amount of carbon and calcium (in grams) in $2\frac{1}{2}\text{kg}$ of chalk.
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