Comparing Quantities Test

Result

Comparing Quantities Test - 39

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Arun purchased 30 kg of wheat at the rate of Rs 11.50 per kg and 20 kg of wheat at the rate of Rs 14.25 per kg . He mixed the two and sold the mixture. Approximately what price per kg should he sell the mixture to make 30% profit?

A
Rs 14.80

B
Rs 15.40

C
Rs 15.60

D
Rs 16.40

Solution

C.P. of $$50 Kg$$ wheat = $$ (30 \times 11.50 + 20 \times 14.25)$$
$$= Rs. (345 + 285) = Rs. 630.$$
S.P of $$50 Kg$$ wheat=130% of 630=$$\frac{130}{100}\times 630=819 Rs$$
S.P. per kg=$$\frac{819}{30+20}$$
=$$\frac{819}{50}$$
=$$16.40 Rs.$$
Question 2
1 / -0

After getting two successive discounts a shirt with a list price of Rs. 150 is available at Rs. 105. If the second discount is 12.5%, find the first discount.

A
25%

B
12%

C
15%

D
20%

Solution

Let the first discount be $$x \%$$

Then, $$87.5\; \%$$ of $$(100-x)\;\%$$ of $$150=105$$

$$\Rightarrow \dfrac{87.5}{100}\times \dfrac{100-x}{100}\times 150=105$$

$$\Rightarrow 100-x=\dfrac{105\times 100\times 100}{87.5\times 150}$$

$$\Rightarrow 100-x=80$$

$$\Rightarrow x=20\;\%$$
Question 3
1 / -0

In a business A and C invested amounts in the ratio 2 : 1 whereas the ratio between amounts invested by A and B was 3 :2 If Rs 157300 was their profit how much amount did B receive?

A
Rs 24200

B
Rs 36300

C
Rs 48400

D
Rs 72600

Solution

$$A:B=3:2=6:4$$
$$A:C=2:1=6:3$$
$$A:B:C=6:4:3$$
B's share=$$\frac{4}{13}\times 157300=48400 Rs.$$
Question 4
1 / -0

The prices of a scooter and a TV are in the ratio 7 : 5 If the scooter costs Rs 8000 more than a TV set then the price of a TV set is

A
Rs 20000

B
Rs 24000

C
Rs 28000

D
Rs 32000

Solution

Let the prices of scooter be 7x and tv set be 5x.
the difference between the two prices is 7x-5x=2x,
According to the question.
$$2x=8000$$
$$ x=4000.$$
so price of scooter is $$7x=7\times 4000=28000 $$
and price of tv set is $$5x=5\times 4000=20000$$
Question 5
1 / -0

A and B entered into partnership with capitals in the ratio 4 : 5 After 3 months A withdraw $$\displaystyle \frac{1}{4}$$ of his capital and B withdraw $$\displaystyle \frac{1}{5}$$ of his capital. The gain at the end of 10 months was Rs 760. A's share in this profit is

A
Rs 330

B
Rs 360

C
Rs 380

D
Rs 430

Solution

Ratio of the initial capital of A and B = 4 : 5
Hence the initial capitals of A and B is 4x and 5x
Ratio in which profit will be divided
$$(4x\times 3)+(\frac{3}{4}\times 4x\times 7):(5x\times 3)+(\frac{4}{5}\times 5x\times 7)$$
$$33:43$$
A's share=$$\frac{33}{76}\times 760=Rs 330$$
Question 6
1 / -0

A shopkeeper sells a badminton racket whose marked price is Rs 30 at a discount of 15%. A shuttle cock costing Rs 1.50 is given free with each racket. The shopkeeper makes a profit of 20% His cost price per racket is

A
Rs $$19.75$$

B
Rs $$20$$

C
Rs $$21$$

D
Rs $$ 21.25$$

Solution

Marked price$$ =$$ Rs. $$30$$.
Discount $$=15 \% $$ of $$30$$
$$\Rightarrow$$ Discount $$ = \dfrac{15}{100}\times 30= $$Rs$$ 4.5 $$
Then S.P $$ =30-4.50= $$Rs$$ 25.50 .$$
Rs. $$1.50 $$ shuttle cock is given free so actual S.P $$= $$Rs$$ 25.50-Rs1.50=Rs24 $$
Profit percentage $$=20%$$
CP $$ = \dfrac{100}{100 + Percentage \; Profit} \times SP$$
Then $$C.P.=\dfrac{100}{120}\times 24=Rs20 .$$
Question 7
1 / -0

A, B and C start a business each investing Rs 20000 After 5 months A withdraw Rs 5000, B withdraw Rs 4000 and C invests Rs 6000 more At the end of the year a total profit of Rs 69900 was recorded Find the share of each

A
$$Rs.\ 20500,Rs.27200,Rs.\ 22200$$

B
$$Rs.\ 20500,Rs.25200,Rs.\ 24200$$

C
$$Rs.\ 20500,Rs.21200,Rs.\ 28200$$

D
$$Rs.\ 20500,Rs.23200,Rs.\ 26200$$

Solution

Ratio of the capitals of A, B and C = $$20000 \times 5 + 15000 \times 7 : 20000 \times 5 + 16000 \times 7 20000 \times 5 + 26000 \times 7$$
$$= 205000 : 212000 : 282000 = 205 : 212 : 282$$
$$\therefore$$ A's share $$ =Rs.(69900\times \dfrac{205}{699})=RS.20500$$
B's share $$=Rs.(69900\times \dfrac{212}{699})=RS.21200$$
C's share $$ =Rs.(69900\times \dfrac{282}{699})=RS.28200$$
Question 8
1 / -0

A shop-keeper purchases $$11$$ knives in Rs. $$10$$ and sells them at the rate of $$10$$ knives for Rs.$$11$$. He earns a profit of

A
$$11$$ $$\%$$

B
$$15$$ $$\%$$

C
$$17$$ $$\%$$

D
$$21$$ $$\%$$

Solution

C.P. of $$1$$ knife $$=\dfrac{10}{11}$$
S.P of $$1$$ knife $$= \dfrac{11}{10}$$
Profit $$=$$ S.P $$-$$ C.P
Profit =$$ \dfrac{11}{10} - \dfrac{10}{11} = \dfrac{121 - 100}{110} = \dfrac{21}{110}$$

Profit $$\%$$ $$ = \dfrac{\text {profit}}{\text {C.P.}} \times 100 $$

Profit $$\%$$ $$ = \dfrac{\dfrac{21}{110}}{\dfrac{10}{11}} \times 100$$

$$ \Rightarrow \dfrac{21}{110} \times \dfrac{11}{10} \times 100 = 21$$ $$\%$$
Question 9
1 / -0

Which of the following subjects is not included in the union list ?

A
Defence

B
Income tax

C
Railway

D
Sales tax

Solution

Union list includes only those items which are under the legislation of Parliament.
Sales Tax isn't a part of union list.
Question 10
1 / -0

An agent makes a profit of $$20$$ per cent even after giving$$10$$ per cent discount on the advertised price. If he makes a profit of Rs. $$750$$ on the sale of a scooter, the advertised price is

A
Rs.$$4500$$

B
Rs.$$4750$$

C
Rs.$$5000$$

D
Rs.$$5250$$

Solution

Let the advertised price of a scooter $$=$$ Rs. x
$$\therefore$$ Sale price of a scooter

$$\displaystyle=Rs.\frac{90}{100}x=Rs.\frac{9}{10}x$$

If the C.P. of scooter $$=$$ Rs. y, then

$$\displaystyle\frac{9}{10}x=\frac{100+20}{100}y=\frac{6}{5}y$$

$$\displaystyle\therefore y=\frac{3}{4}x$$

but, Profit = S.P. - C.P.
$$\displaystyle Rs.750=\frac{9}{10}x-y$$

$$\displaystyle Rs. 750=\frac{9}{10}x-\frac{3}{4}x$$
$$\displaystyle Rs.750=\frac{3}{20}x$$

$$\displaystyle x=Rs.\frac{20}{3}\times750=Rs. 5000$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 39

Result

Comparing Quantities Test - 39

Score

-

Rank

-

SHARING IS CARING

Question 1

Rs 14.80

Rs 15.40

Rs 15.60

Rs 16.40

Solution

Question 2

25%

12%

15%

20%

Solution

Question 3

Rs 24200

Rs 36300

Rs 48400

Rs 72600

Solution

Question 4

Rs 20000

Rs 24000

Rs 28000

Rs 32000

Solution

Question 5

Rs 330

Rs 360

Rs 380

Rs 430

Solution

Question 6

Rs $$19.75$$

Rs $$20$$

Rs $$21$$

Rs $$ 21.25$$

Solution

Question 7

$$Rs.\ 20500,Rs.27200,Rs.\ 22200$$

$$Rs.\ 20500,Rs.25200,Rs.\ 24200$$

$$Rs.\ 20500,Rs.21200,Rs.\ 28200$$

$$Rs.\ 20500,Rs.23200,Rs.\ 26200$$

Solution

Question 8

$$11$$ $$\%$$

$$15$$ $$\%$$

$$17$$ $$\%$$

$$21$$ $$\%$$

Solution

Question 9

Defence

Income tax

Railway

Sales tax

Solution

Question 10

Rs.$$4500$$

Rs.$$4750$$

Rs.$$5000$$

Rs.$$5250$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.