Comparing Quantities Test

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Comparing Quantities Test - 63

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Weekly Quiz Competition

Question 1
1 / -0

The ratio $$384 : 480$$ in its simplest form is

A
$$3 : 5$$

B
$$5 : 4$$

C
$$4 : 5$$

D
$$2 : 5$$

Solution

Given the ratio is
$$384:480$$
$$=96\times 4: 96\times 5$$
$$=4:5$$.
Question 2
1 / -0

A ratio equivalent to $$2:5$$ is

A
$$6:15$$

B
$$4:5$$

C
$$5:2$$

D
$$5:4$$

Solution

The simplest form of ratio $$6 : 15 =2\times 3:5\times 3= 2 : 5$$

So, $$2 : 5$$ is equivalent to $$6 : 15$$
Question 3
1 / -0

Directions For Questions

Select the correct answer in each of the following:

...view full instructions

$$0.8\, \%$$ when expressed as a decimal, is

A
$$0.08$$

B
$$0.008$$

C
$$8$$

D
$$0.8$$

Solution

By solving $$0.8\,\%$$ we get,

$$0.8\,\% = (0.8 /100) = 0.008$$
Question 4
1 / -0

Mark against the correct answer in the following:
A sum amounts to $$Rs.3605$$ in $$219$$ days at $$5\%$$ per annum. The sum is

A
$$Rs. 3250$$

B
$$Rs.3500$$

C
$$Rs.3400$$

D
$$Rs.3550$$

Solution

Let the required sum be $$Rs. x$$
Then,
$$SI = (P \times R \times T) / 100$$
$$Amount = P + SI$$
$$= x + [( x \times R \times T) / 100]$$
$$= x [ 1 + ((R \times T) / 100)]$$
$$x = Amount / [1 + ((R \times T) / 100)]$$
$$= 3605 / [1 + ((5 / 100) \times (219 / 365))]$$
$$= (3605 \times 36500) / 37595$$
$$x = Rs. 3500$$
Question 5
1 / -0

The ratio $$2:5$$ as rate percent is

A
$$4\%$$

B
$$0.4\%$$

C
$$40\%$$

D
$$14\%$$

Solution

We can write $$2:5$$ as $$\dfrac 25$$

Rate percent of $$2:5=\dfrac 25 \times 100$$

$$=2 \times 20$$

$$=40\%$$
Question 6
1 / -0

The per cent that represents the shaded region in the figure is

A
$$36\%$$

B
$$64\%$$

C
$$27\%$$

D
$$48\%$$

Solution

shaded parts $$= 36$$
Total parts $$= 100$$
percentage of shaded region $$= \dfrac{36}{100}\times 100 = 36\%$$
Question 7
1 / -0

A cricket bat was purchased for $$Rs.800$$ and was sold for $$Rs.1600.$$ Then profit earned is

A
$$100\%$$

B
$$64\%$$

C
$$50\%$$

D
$$60\%$$

Solution

Cost price of bat $$= Rs.800$$
Selling price of bat$$ = Rs.1600$$
Profit = Selling price - Cost price $$=800$$
Hence,
Profit $$\% = \dfrac{800}{800} \times 100 = 100\%$$
Question 8
1 / -0

The ratio $$3 : 8$$ is equal to

A
$$3.75\%$$

B
$$37.5\%$$

C
$$0.375\%$$

D
$$267\%$$

Solution

$${\textbf{Step - 1: Find the value of }}x{\textbf{ and }}y{\textbf{ using the given formula}}$$
      $${\text{Given ratio is }}3:8$$

      $${\text{Now, }}x = 3$$$${\text{ and }}y = 8$$

      $${\text{Percentage form can be written as}} = \dfrac{x}{y} \times 100$$

  $$ = \dfrac{3}{8} \times 100$$

  $$ = \dfrac{3}{2} \times 25$$

  $$ = \dfrac{{75}}{2}$$

  $$ = 37.5\space \% $$

$${\textbf{Hence, }}\mathbf{3:8}{\textbf{ can be written as }}\mathbf{37.5\space \% }$$
Question 9
1 / -0

The ratio of Fatima's income to her savings is $$4 : 1.$$ The percentage of money saved by her is:

A
$$20\%$$

B
$$25\%$$

C
$$40\%$$

D
$$80\%$$

Solution

As the ratio of Fatima's income to her savings is $$4 : 1.$$
Let Fatima's saving be $$x$$ and expenditure be $$4x.$$
Hence, saving percentage
$$= \dfrac{x}{4x} \times 100$$
$$\Rightarrow 25\%$$
Question 10
1 / -0

$$225\%$$ is equal to

A
$$9 : 4$$

B
$$4 : 9$$

C
$$3: 2$$

D
$$2 : 3$$

Solution

$$\Rightarrow 225\% = \dfrac{225}{100}$$
$$= \dfrac{9}{4} = 9 : 4$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 63

Result

Comparing Quantities Test - 63

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SHARING IS CARING

Question 1

$$3 : 5$$

$$5 : 4$$

$$4 : 5$$

$$2 : 5$$

Solution

Question 2

$$6:15$$

$$4:5$$

$$5:2$$

$$5:4$$

Solution

Question 3

$$0.08$$

$$0.008$$

$$8$$

$$0.8$$

Solution

Question 4

$$Rs. 3250$$

$$Rs.3500$$

$$Rs.3400$$

$$Rs.3550$$

Solution

Question 5

$$4\%$$

$$0.4\%$$

$$40\%$$

$$14\%$$

Solution

Question 6

$$36\%$$

$$64\%$$

$$27\%$$

$$48\%$$

Solution

Question 7

$$100\%$$

$$64\%$$

$$50\%$$

$$60\%$$

Solution

Question 8

$$3.75\%$$

$$37.5\%$$

$$0.375\%$$

$$267\%$$

Solution

Question 9

$$20\%$$

$$25\%$$

$$40\%$$

$$80\%$$

Solution

Question 10

$$9 : 4$$

$$4 : 9$$

$$3: 2$$

$$2 : 3$$

Solution

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