Comparing Quantities Test

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Comparing Quantities Test - 19

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Weekly Quiz Competition

Question 1
1 / -0

A share is said to be ______, if its market value is less than its face value.

A
premium

B
at par

C
at discount

D
dividend

Solution

A share is said to be at discount, if its market value is less than its face value.
Question 2
1 / -0

The cost price of $$20$$ articles is the same as the selling price of x articles. If the profit is $$25$$%, then the value of x is:

A
$$15$$

B
$$16$$

C
$$18$$

D
$$25$$

Solution

Let C.P. of each article be $$Re. 1$$ C.P. of x articles $$= Rs. x$$.
S.P. of x articles $$= Rs. 20$$.
$$Profit = Rs. (20 - x)$$.
$$\therefore \left (\dfrac {20 - x}{x}\times 100 = 25\right )$$
$$\Rightarrow 2000 - 100x = 25x$$
$$125x = 2000$$
$$\Rightarrow x = 16$$
Question 3
1 / -0

Which option is an example of interest on interest?

A
simple interest

B
compound interest

C
complex interest

D
annual interest

Solution

Compound interest is an example of interest on interest.
Question 4
1 / -0

A shopkeeper expects a gain of $$22.5\%$$ on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A
$$Rs. 18.20$$

B
$$Rs. 70$$

C
$$Rs. 72$$

D
$$Rs. 88.25$$

Solution

Given that,
$$S.P.=Rs.\ 392$$ and $$\text{gain}\%=22.5\%$$
To find out: profit
We know that, $$C.P.=\dfrac{S.P.\times 100}{100+\text{gain}\%}$$

$$\therefore \ C.P. = Rs. \left (\dfrac {100}{122.5}\times 392\right ) \\$$

$$= Rs. \left (\dfrac {1000}{1225}\times 392\right ) \\$$

$$= Rs. 320\\$$

We also know that, $$\text{profit}=S.P.-\ C.P.$$

$$\therefore \ \text{Profit} = Rs. (392 - 320) \\$$
$$= Rs. 72$$.

Hence, the profit of the shopkeeper on the sale of $$Rs.\ 392$$ is $$Rs.\ 72$$.
Question 5
1 / -0

_________ is interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

A
simple interest

B
compound interest

C
complex interest

D
annual interest

Solution

Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

So $$Op.B$$
Question 6
1 / -0

Identify in which type of interest rate is applied to the original principal and any accumulated interest?

A
simple interest

B
compound interest

C
complex interest

D
annual interest

Solution

When the interest rate is applied to the original principal and any accumulated interest, this is called compound interest.
Question 7
1 / -0

__________ is calculated on both the amount borrowed and any previous interest.

A
simple interest

B
annual interest

C
complex interest

D
compound interest

Solution

Compound interest is calculated on both the amount borrowed and any previous interest.
Question 8
1 / -0

The percentage profit earned by selling an article for Rs. $$1920$$ is equal to the percentage loss incurred by selling the same article for Rs. $$1280$$. At what price should the article be sold to make $$25$$% profit?

A
Rs. $$2000$$

B
Rs. $$2200$$

C
Rs. $$2400$$

D
Data inadequate

Solution

Let C.P. be $$Rs. x$$.
Then, $$\dfrac {1920 - x}{x} \times 100 = \dfrac {x - 1280}{x}\times 100$$
$$\Rightarrow 1920 - x = x - 1280$$
$$\Rightarrow 2x = 3200$$
$$\Rightarrow x = 1600$$
$$\therefore$$ Required $$S.P. = 125$$% of $$Rs. 1600 = Rs. \left (\dfrac {125}{100}\times 1600\right ) = Rs 2000$$.
Question 9
1 / -0

Which tax is paid to government for the sales of certain goods and services?

A
VAT

B
sales tax

C
income tax

D
business tax

Solution

Sales tax is paid to government for the sales of certain goods and services.
Question 10
1 / -0

In what time will Rs, $$15,000$$ yield Rs. $$4965$$ as compound interest at $$10$$% per year compounded annually?

A
$$3$$ years

B
$$2$$ years

C
$$1$$ years

D
$$4$$ years

Solution

Interest for the first year
$$=\cfrac{1500\times 10\times 1}{100}$$
$$=$$ Rs $$1500$$
Amount after the first year $$=$$ Rs $$15000+1500$$
$$=$$ Rs $$ 16500$$
Interest for the second year
$$=$$ $$\cfrac{16500\times 10\times 1}{100}$$
$$=$$ Rs $$1650$$
Amount after the third year
$$=$$ $$\cfrac{18150\times 10\times 1}{100}$$
$$=$$ Rs $$1815$$
Final amount $$= $$ Rs $$18150+1815$$
$$=$$ Rs $$19965$$
Compound interest $$=$$ Rs $$19965-15000$$
$$=$$ Rs $$4965$$
Required time $$= 3$$ years

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 19

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Comparing Quantities Test - 19

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SHARING IS CARING

Question 1

premium

at par

at discount

dividend

Solution

Question 2

$$15$$

$$16$$

$$18$$

$$25$$

Solution

Question 3

simple interest

compound interest

complex interest

annual interest

Solution

Question 4

$$Rs. 18.20$$

$$Rs. 70$$

$$Rs. 72$$

$$Rs. 88.25$$

Solution

Question 5

simple interest

compound interest

complex interest

annual interest

Solution

Question 6

simple interest

compound interest

complex interest

annual interest

Solution

Question 7

simple interest

annual interest

complex interest

compound interest

Solution

Question 8

Rs. $$2000$$

Rs. $$2200$$

Rs. $$2400$$

Data inadequate

Solution

Question 9

VAT

sales tax

income tax

business tax

Solution

Question 10

$$3$$ years

$$2$$ years

$$1$$ years

$$4$$ years

Solution

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