Comparing Quantities Test

Result

Comparing Quantities Test - 35

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

A shopkeeper sells $$25$$ articles at $$Rs. 45$$ per article after giving $$10\%$$ discount and earns $$50\%$$ profit If the discount is not given the profit gained is

A
$$60\%$$

B
$$\displaystyle 60\frac{2}{3}\%$$

C
$$66\%$$

D
$$\displaystyle 66\frac{2}{3}\%$$

Solution

S.P. of $$1$$ article= $$Rs. 45$$.
Let marked price of each article be $$Rs.x$$
Then,S.P. = $$90\%\ of\ Rs.x$$
$$\Rightarrow 45=\dfrac{90x}{100}$$
$$\Rightarrow x=\dfrac{45\times 100}{90}$$
$$\Rightarrow x=50 $$

Profit earned =$$50\%$$
$$C.P=Rs.\dfrac{100}{150}\times 45$$
$$C.P=Rs.30 $$

If no discount given,then
$$Profit=Rs.(50-30)=Rs.20$$
Profit Percentage=$$\dfrac{20}{30}\times 100\%=66\dfrac{2}{3}\%$$
Question 2
1 / -0

A trader purchases 70 kg of tea at Rs. 15 per kg and 30 kg of tea at Rs. 18.50 per kg. If the packing charges are 2 percent, then at what price he must sell the mixture of two to gain 15%?

A
Rs. 18.82 per kg

B
Rs. 18 per kg

C
Rs. 18.50 per kg

D
Rs. 17.80 per kg

Solution

Cost of 70 kg of tea at Rs. 15 per kg $$= 70\times 15=1050 Rs.$$
Cost of 30 kg of tea at Rs. 18.50 per kg $$=30\times 18.5 = 555Rs.$$.
total cost $$=1050 Rs.+555 Rs.=Rs. 1605 $$

Selling price includes packing charges are 2 percent and gain 15%:
Therefore,
$$S= Cost price\times ({1+\dfrac{2}{100}})\times ({1+\dfrac{15}{100}})$$
$$S=1605\times 1.02\times1.15$$
$$S=Rs. 1882.67$$
total weight $$=70+30=100kg$$
Selling price per kg $$=\dfrac{1882.67}{100}= 18.82Rs.$$ per kg

Answer (A) is correct.
Question 3
1 / -0

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

A
Rs 1275

B
Rs 1280

C
Rs 1210

D
Rs 1260

Solution

let the new S.P be rs x.then
(100-loss%) : (1 st S.P)=(100+gain%) (2nd S.P)
$$\frac{100-5}{1140}=\frac{100+5}{x}$$
$$x=\frac{105\times 1140}{95}$$
$$x=1260 Rs.$$
Question 4
1 / -0

A, B, C started a business with their investments in the ratio 1 : 3 : 5 After 4 months A invested the same amount as before and B as well as C withdraw half of their investments The ratio of their profits at the end of the year is

A
4 : 3 : 5

B
5 : 6 : 10

C
6 : 5 : 10

D
10 : 5 : 6

Solution

Let the initial investment be x,3x and 5x then
$$A:B:C=(x\times 4+2x\times 8):(3x\times 4+\frac{3x}{2}\times 8):(5x\times 4+\frac{5x}{2}\times 8)$$
$$A:B:C=20x:24x:40x$$
$$A:B:C=5:6:10$$
Question 5
1 / -0

$$A, B$$ and $$C$$ enter into partnership $$A$$ invests some money at the beginning , $$B$$ invests double the amount after $$6$$ months and $$C$$ invests thrice the amount after $$8$$ months If the annual profit be $$Rs. 27000\ C's$$ share is

A
$$Rs. 8625$$

B
$$Rs. 9000$$

C
$$Rs. 10800$$

D
$$Rs. 11250$$

Solution

Let $$A$$ invested $$Rs. x$$ for $$12$$ months
Then according to the question $$B$$ invested $$Rs. 2x$$ for $$6$$ months
And $$C$$ invested $$Rs.3x$$ for $$4$$ months
Then Ratio of their capital$$=12\times x:2x\times 6:3x\times 4$$
$$=12x:12x:12x$$
$$=1:1:1$$
$$C's$$ share of profit $$=\dfrac{1}{3}\times 27000=Rs.9000.$$
Question 6
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 7
1 / -0

A shopkeeper purchased $$150$$ identical pieces of calculators at the rate of $$\text{Rs.}\ 250$$ each. He spent an amount of $$\text{Rs.}\ 2500$$ on transport and packing. He fixed the labelled price of each calculator at $$\text{Rs.}\ 320$$. However he decided to give a discount of $$5\%$$ on the labelled price. What is the percentage profit earned by him?

A
$$14\%$$

B
$$15\%$$

C
$$16\%$$

D
$$20\%$$

Solution

Cost of each calculator=$$250+\frac{2500}{150}=266\tfrac{2}{3} Rs.$$
S.P of each calculator=$$\frac{95}{100}\times 320=304 Rs.$$
Profit Percentage=$$\frac{112}{3}\times \frac{3}{800}\times 100=14$$%
Question 8
1 / -0

$$A$$ and $$B$$ started a partnership business investing some amount in the ratio of $$3 : 5$$ ,C joined them after six months with an amount equal to that of $$B$$ In what proportion should the profit at the end of one year be distributed among $$A, B \,\,and \,\,C$$?

A
$$3 : 5 : 2$$

B
$$3 : 5 : 5$$

C
$$6 : 10 : 5$$

D
Data inadequate

Solution

Let the initial investments of $$A$$ and $$B$$ be $$3x$$ and $$5x$$.
So the investment of $$C$$ is also $$5x$$
So the ratio of profits distributed among them is given by,
$$A:B:C=(3x\times 12):(5x\times 12):(5x\times 6)$$
$$A:B:C=36:60:30$$
$$A:B:C=6:10:5$$
Question 9
1 / -0

If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25% then find the cost of production of a table the retail price of which is Rs 1265?

A
600

B
800

C
700

D
900

Solution

Let the cost of production of the table be Rs
Then ,125% of 115% of 110% of x=1265
$$\Rightarrow \frac {125}{100}\times \frac{115}{100}\times \frac{110}{100}\times x=1265$$
$$x=\frac{1265\times 100\times 100\times 100}{125\times 115\times 110}$$
$$x=800 Rs.$$
Question 10
1 / -0

Simran started a software business by investing Rs 50000 After six months Nanda joined her with a capital of Rs 80000 After 3 year they earned a profit of Rs 24500 What was Simran's share in the profit?

A
Rs 9423

B
Rs 10500

C
Rs 12500

D
Rs 14000

Solution

Simran invested Rs 50000 for 36 months and Nanda invest Rs 80000 for 30 months
Then Ratio of their investment=$$50000\times 36:80000\times 30$$
$$1800000:2400000$$
$$3:4$$
Total profit= Rs.24500
Then Simran Share of Profit=$$\frac{3}{7}\times 24500=10500 Rs.$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 35

Result

Comparing Quantities Test - 35

Score

-

Rank

-

SHARING IS CARING

Question 1

$$60\%$$

$$\displaystyle 60\frac{2}{3}\%$$

$$66\%$$

$$\displaystyle 66\frac{2}{3}\%$$

Solution

Question 2

Rs. 18.82 per kg

Rs. 18 per kg

Rs. 18.50 per kg

Rs. 17.80 per kg

Solution

Question 3

Rs 1275

Rs 1280

Rs 1210

Rs 1260

Solution

Question 4

4 : 3 : 5

5 : 6 : 10

6 : 5 : 10

10 : 5 : 6

Solution

Question 5

$$Rs. 8625$$

$$Rs. 9000$$

$$Rs. 10800$$

$$Rs. 11250$$

Solution

Question 6

Rs 24200

Rs 36300

Rs 48400

Rs 72600

Solution

Question 7

$$14\%$$

$$15\%$$

$$16\%$$

$$20\%$$

Solution

Question 8

$$3 : 5 : 2$$

$$3 : 5 : 5$$

$$6 : 10 : 5$$

Data inadequate

Solution

Question 9

600

800

700

900

Solution

Question 10

Rs 9423

Rs 10500

Rs 12500

Rs 14000

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.