Comparing Quantities Test

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Comparing Quantities Test - 45

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Weekly Quiz Competition

Question 1
1 / -0

A man gains $$20\%$$ by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be

A
$$130\%$$

B
$$140\%$$

C
$$150\%$$

D
$$160\%$$

Solution

Let the C.P $$=x$$.
A man gains $$20\%$$ by selling an article.
Then S.P $$=\dfrac{120x}{100}=\dfrac{6x}{5}$$
New S.P. $$=\dfrac{2 \times 6x}{5}=\dfrac{12x}{5}$$
Thus profit $$=$$$$\dfrac{12x}{5}-x=\dfrac{7x}{5}$$
Therefore, the profit percent is $$\dfrac{7x}{5} \times 100 =140$$$$\%$$
Question 2
1 / -0

Convert $$75$$% to a fraction

A
$$2/3$$

B
$$3/4$$

C
$$4/5$$

D
None

Solution

$$75$$%$$=\cfrac{75}{100}=\cfrac{3}{4}$$
Question 3
1 / -0

Find the interest for the principal Rs. $$4110$$ at the rate of $$6\%$$ for $$2$$ years.

A
$$343.50$$

B
$$493.20$$

C
$$460.19$$

D
$$531.12$$

Solution

Simple interest, $$I =$$ $$\dfrac{PRT}{100}$$
Where, $$P $$ is the principal $$=4110$$
$$R$$ is the rate $$=6\%$$
$$T$$ is the time period $$=2$$ years
$$I =$$ $$\dfrac{4110\times 6\times 2}{100}$$
$$I =$$ Rs. $$493.20$$
Question 4
1 / -0

Find rate, when principal $$=$$ Rs. $$3000$$; interest $$=$$ Rs. $$400$$; time $$= 3$$ years.

A
$$1.11\%$$

B
$$2.22\%$$

C
$$3.33\%$$

D
$$4.44\%$$

Solution

Given, Principal $$=$$ Rs. $$3000$$, interest $$=$$ Rs. $$400$$, time $$=3$$ years
We know the formula,
Rate of interest, $$R =$$ $$\dfrac{I\times 100}{PT}$$
$$R =$$ $$\dfrac{400\times 100}{3000\times 3}$$
$$R = 4.44\%$$
Question 5
1 / -0

A person incurs a loss of $$5\%$$ be selling a watch for $$Rs.1140$$. At what price should the watch be sold to earn $$5\%$$ profit ?

A
Rs.$$1200$$

B
Rs.$$1230$$

C
Rs.$$1260$$

D
Rs.$$1290$$

Solution

Formulas required for this sum:
$$Cost\ price(C.P)=\dfrac{100}{100-Loss\%}\times Selling\ price$$

$$Selling\ price(S.P)=\dfrac{100+Profit\%}{100\%}\times Cost\ price$$
$$Loss\%=5\%$$
$$S.P=Rs\ 1140$$

$$C.P=\dfrac{100}{100-5}\times1140$$

$$C.P=\dfrac{100}{95}\times1140$$
$$C.P=1200$$
We found that the $$Cost\ price\ is\ Rs\ 1200$$
$$Profit\%=5\%$$

$$S.P=\dfrac{100+5}{100}\times 1200$$

$$S.P=\dfrac{105}{100}\times 1200$$
$$S.P=Rs\ 1260$$
Question 6
1 / -0

Priya invested a certain amount of money and got back an amount of Rs. $$15000$$. If the bank paid an interest of Rs. $$5000$$, what is the amount Priya invested?

A
$$5000$$

B
$$8000$$

C
$$15000$$

D
$$10000$$

Solution

Amount $$=$$ Rs. $$15000$$
Simple interest $$=$$ Rs. $$5000$$
Principal $$=$$ Amount $$-$$ simple interest
$$= 15000 - 5000 $$
Principal $$= 10000$$
Therefore, priya invested Rs. $$10000$$.
Question 7
1 / -0

John earned Rs. $$100$$ as simple interest on Rs. $$600$$ for $$6$$ months. Find the annual rate of interest.

A
$$11.11\%$$

B
$$22.22\%$$

C
$$33.33\%$$

D
$$44.44\%$$

Solution

Given, Simple interest $$=$$ Rs. $$100$$, Principal $$=$$ Rs. $$600$$ and period $$6$$ months
We know the formula,
Rate of interest, $$R =$$ $$\dfrac{I\times 100}{PT}$$
$$R =$$ $$\dfrac{100\times 100}{600\times 0.5}$$
$$R = 33.33\%$$
Therefore, the annual rate of interest is $$33.33\%$$.
Question 8
1 / -0

In terms of percentage profit, which among the following is the best transaction ?

A
C.P $$=36$$, Profit $$=17$$

B
C.P $$=50$$, Profit $$=24$$

C
C.P $$=40$$, Profit $$=19$$

D
C.P $$=60$$, Profit $$=29$$

Solution

$$Percentage\ profit=\dfrac{profit\times 100}{Cost\ Price}$$

In option A, $$Percentage\ Profit=\dfrac{17\times100}{36}=47.22\%$$

In option B, $$Percentage\ Profit=\dfrac{24\times100}{50}=48\%$$

In option C, $$Percentage\ Profit=\dfrac{19\times100}{40}=47.5\%$$

In option D, $$Percentage\ Profit=\dfrac{29\times100}{60}=48.33\%$$

Among given 4 option, D has highest percentage of profit. So, (D) is the best transaction.
Question 9
1 / -0

Sekar buys some electronic goods from a wholesaler for Rs. 2500 and spends Rs. 1000 on its transportation's, etc. If he sells these electronic goods for Rs. 4000; find the profit or loss made by him and express it as percent.

A
11.28%

B
14.28%

C
15.28%

D
13.28%

Solution

The total cost price of electronic goods for Sekar = Rs. 2500 + Rs. 1000 = Rs. 3500
Given, selling price = Rs. 4000; [which is more than total C.P.]
Therefore, profit = Rs. 4000 - Rs. 3500 = Rs. 500
Also, profit% = $$\dfrac{profit}{total\space\ CP} \times 100$$%
= $$\dfrac{500}{3500}\times 100=14.28$$%
Question 10
1 / -0

Mark buys some electronic goods from a wholesaler for Rs. 1500 and spends Rs. 100 on its transportation's, etc. If he sells these electronic goods for Rs. 1900; find the profit or loss made by him and express it as percent.

A
12.45%

B
13.95%

C
18.75%

D
20.25%

Solution

The total cost price of electronic goods for Mark = Rs. 1500 + Rs. 100 = Rs. 1600
Given, selling price = Rs. 1900; [which is more than total C.P.]
Therefore, profit = Rs. 1900 - Rs. 1600 = Rs. 300
Also, profit% = $$\dfrac{profit}{total\space\ CP} \times 100$$%
= $$\dfrac{300}{1600}\times 100=18.75$$%

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Comparing Quantities Test - 45

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Comparing Quantities Test - 45

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SHARING IS CARING

Question 1

$$130\%$$

$$140\%$$

$$150\%$$

$$160\%$$

Solution

Question 2

$$2/3$$

$$3/4$$

$$4/5$$

None

Solution

Question 3

$$343.50$$

$$493.20$$

$$460.19$$

$$531.12$$

Solution

Question 4

$$1.11\%$$

$$2.22\%$$

$$3.33\%$$

$$4.44\%$$

Solution

Question 5

Rs.$$1200$$

Rs.$$1230$$

Rs.$$1260$$

Rs.$$1290$$

Solution

Question 6

$$5000$$

$$8000$$

$$15000$$

$$10000$$

Solution

Question 7

$$11.11\%$$

$$22.22\%$$

$$33.33\%$$

$$44.44\%$$

Solution

Question 8

C.P $$=36$$, Profit $$=17$$

C.P $$=50$$, Profit $$=24$$

C.P $$=40$$, Profit $$=19$$

C.P $$=60$$, Profit $$=29$$

Solution

Question 9

11.28%

14.28%

15.28%

13.28%

Solution

Question 10

12.45%

13.95%

18.75%

20.25%

Solution

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