Comparing Quantities Test

Result

Comparing Quantities Test - 41

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 buys an article at a rebate of $$20\%$$ on its marked price and then spends $$Rs. 300$$ on its transportation, etc. If he sells the article for $$Rs. 4,160$$ (including sales tax at the rate of $$4\%$$ of the marked price), find the shopkeeper's profit as per cent.

A
$$\displaystyle 12\dfrac{2}{7}\%$$

B
$$\displaystyle 11\dfrac{2}{7}\%$$

C
$$\displaystyle 13\dfrac{2}{7}\%$$

D
$$\displaystyle 14\dfrac{2}{7}\%$$

Solution

Let $$M.P$$ is $$Rs.x$$
Rebate=$$20\%$$
Then the money shopkeeper spend on buying$$=x-20\% ~of~ x+300$$
$$\Rightarrow x-0.20x+300=0.80x+300$$
$$S.P=4160$$(including sales tax)
Rate of sales tax$$=4\%$$
$$\therefore x+4\% ~ of~ x=4160$$
$$\Rightarrow x+\dfrac{4}{100}x=4160$$
$$\Rightarrow x+0.04x=4160$$
$$\Rightarrow 1.04x=4160$$
$$\Rightarrow x=\dfrac{4160}{1.04}=Rs.4000$$
Profit$$=4000-(.8\times 4000+300)=4000-3500=Rs.500$$
Profit%$$=\dfrac{500}{3500}\times 100$$
$$=\dfrac{100}{7}$$
$$=14\dfrac{2}{7}$$%
Question 2
1 / -0

Directions For Questions

Tarun bought an article for Rs. 8,000 and spent Rs. 1,000 for transportation. He marked the article at Rs. 11,700 and sold it to a customer. If the customer had to pay 10% sales tax find:

...view full instructions

the customer's price

A
$$Rs. 9,620$$

B
$$Rs. 10,850$$

C
$$Rs. 12,870$$

D
$$Rs. 14,240$$

Solution

M.P=Rs. 11700
Sales tax=10%
$$\therefore $$Customer price$$=11700+10\% of 11700$$
$$\Rightarrow 11700+\frac{10}{100}\times 11700$$
$$\Rightarrow 11700+1170=Rs.12870$$
Question 3
1 / -0

Directions For Questions

An article is marked at Rs. $$500$$. The wholesaler sells it to a retailer at $$20\%$$ discount and charges sales-tax on the remaining price at $$12.5\%$$. The reatailer, in turn, sells the article to a customer at its marked price and charges sales-tax at the same rate. Calculate:

...view full instructions

The price paid by the customer

A
$$Rs. 582.50$$

B
$$Rs. 532.50$$

C
$$Rs. 572.50$$

D
$$Rs. 562.50$$

Solution

Marked Price of the article=Rs.500
The retailer sell the article to the customer at marked price at 12.5% sales-tax
Then price paid by the customer=500+12.5% of 500
$$\Rightarrow 500+\frac{12.5}{100}\times 500$$
$$\Rightarrow 500+62.5=Rs.562.50$$
Question 4
1 / -0

Directions For Questions

A shopkeeper buys an article at a discount of 30% and pays sales-tax at the rate of 8%. The shopkeeper, in turn, sells the article to a customer at the printed price and charges sales tax at the same rate. If the printed price of the article is Rs. 2,500; find.

...view full instructions

The price paid by the customer

A
$$Rs. 2,700$$

B
$$Rs. 2,800$$

C
$$Rs. 2,900$$

D
$$Rs. 3,000$$

Solution

The shopkeeper sells the article to customer at printed price .
Printed price=Rs.2500
Rate of sales tax=8%
$$\therefore$$Price paid by the customer=2500+8% of 2500
$$\Rightarrow 2500+\frac{8}{100}\times 2500$$
$$\Rightarrow 2500+200=Rs.2700$$
Question 5
1 / -0

An article is sold at a profit of $$14\%$$. If both the cost price and selling price are Rs. $$132$$ less, the profit would be $$12\%$$ more. Find the cost price.

A
Rs. $$286$$

B
Rs. $$268$$

C
Rs. $$266$$

D
Rs. $$ 276$$

Solution

Let cost price be $$x$$
SP $$= x + 14\% $$ of $$ x=x+\dfrac{14x}{100} = 1.14x$$
If CP and SP were Rs. $$132$$ less, the profit would be $$(14 + 12)\%$$
New, CP $$= (x - 132)$$
SP $$ = 1.14x - 132$$
SP $$-$$ CP $$= 26\%$$ of $$(x - 132)$$
$$1.14x - 132 - x + 132 = \dfrac{26\times (x-132)}{100}$$
$$0.14x \times100 = 26x - 3432$$
$$14x - 26x = -3432$$
$$12x = 3432$$
$$x = 286$$
So, CP was Rs. $$286$$.
Question 6
1 / -0

A man sells an article at a gain of $$20\%$$. If he had bought it for $$20 \%$$ less and sold it for $$264$$ less, he would have still gain $$20\%$$.The cost price of the article is ?

A
Rs. $$1100$$

B
Rs. $$2400$$

C
Rs. $$2600$$

D
Rs. $$2650$$

Solution

Let C.P. be $$X$$
Hence, S.P. $$= X+20\%$$ of $$X=X+\dfrac{20}{100}\times X= 1.2 X$$
If he had bought it for $$20\%$$ less
Then, new C.P. $$= X - 20\% $$ of $$ X =X-\dfrac{20}{100}X= 0.8X$$
And new S.P. $$ = 1.2X - 264$$
Gain $$= 20\%$$
$$\Rightarrow \dfrac{(1.2X-264)-.8X}{.8X}=\dfrac{20}{100}$$

$$\Rightarrow \dfrac{.4X-264}{.8X}=\dfrac{20}{100}$$

$$\Rightarrow 40x-26400=16x$$

$$\Rightarrow 24x=26400$$

$$\Rightarrow X = 1100$$
Thus, C.P. of the article $$=$$ Rs. $$ 1100$$.
Question 7
1 / -0

A man bought a chair and sold it at a gain of $$5$$%. If he had bought it at $$5$$% less and sold it for Rs $$45$$ more, he would have gained $$20$$% . Find the cost price of the chair?

A
Rs. $$400$$

B
Rs. $$500$$

C
Rs. $$450$$

D
Rs. $$550$$

Solution

Let CP = x
SP = x + 5% of x = 1.05x
Now,
If he had bought it in 5% less,
CP = x - 5% of x = 0.95x
New SP = 1.05x + 45
New gain = 20% of 0.95x
1.05 + 45 - 0.95x = 20% of 0.95x
0.1x + 45 = 0.19x
0.09x = 45
x = 500
CP = Rs. 500
Question 8
1 / -0

A man loses $$13 \%$$ by selling a book at a certain price. If he had sold it for Rs. $$9.75$$ more he would have gained $$26\%$$. Find the cost price of the book ?

A
$$25$$

B
$$30$$

C
$$39$$

D
$$42$$

Solution

Let C.P. be $$x$$

S.P. $$= x - 13\%$$ of $$x =x-\dfrac{13}{100}\times x= 0.87 x$$

If he had sold it in Rs. $$9.75$$ more, he had gained,

New S.P. $$= 0.87x + 9.75$$

Then according to the question, we have

$$\Rightarrow 0.87x + 9.75 = x + 26\%$$ of $$ x$$

$$\Rightarrow 0.8x + 9.75 = 1.26x$$

$$\Rightarrow 0.39x = 9.75$$

$$\Rightarrow x = \dfrac{9.75}{0.39}$$

$$\Rightarrow x = 25$$

So, the cost Price was Rs. $$25$$.
Question 9
1 / -0

A man purchased a bullock and a cart for Rs. $$1800$$. He sold the bullock at a profit of $$20\%$$ and cart at a profit of $$30\%$$. His total profit was $$\dfrac{155}{6} \%$$. Find the cost price of bullock?

A
$$650$$

B
$$750$$

C
$$900$$

D
$$800$$

Solution

Cost Price of bullock and cart $$=$$ Rs. $$1800$$.
Let bullock price was $$X$$ and cart price was $$(1800-X)$$
SP of both $$= 1800+\dfrac {155}{6}\%$$ of $$1800 = 2265$$
Profit $$=$$ Rs. $$465$$
$$X + 20\%$$ of $$X + (1800-X)+30\%$$ of $$(1800-X)=2265$$
$$1.2 X+1800-X +\dfrac { (54000 - 30 X)}{100} = 2265$$
$$1.2 X+1800 - X + 540 - 0.3 X = 2265$$
$$1.2 X - 1.3 X = 2265 - 1800 - 540$$
$$- 0.1 X = -75$$
$$X = 750$$
Cost of bullock is Rs. $$750$$.
Question 10
1 / -0

A man has to sell pulse at a loss of 10%. If he increases the selling price by Rs 5 per kg, he would make a profit of 15%. Find the cost price and initial selling price per kg of pulse.

A
Rs 20, Rs 18

B
Rs 18, Rs 20

C
Rs 15, Rs 18

D
Rs 18, Rs 15

Solution

Let C.P. $$= x$$
S.P. $$= x - 10\% $$ of $$ x=x-\dfrac{10x}{100}=\dfrac{90x}{100} = 0.9x$$
New S.P. $$= 0.9x + 5$$
Gain $$ =$$ S.P. $$ -$$ C.P.
$$\Rightarrow 15\% $$ of $$ x = 0.9x + 5 - x$$
$$\Rightarrow 0.15x + x - 0.9x=5$$
$$\Rightarrow 0.25x = 5$$
$$\Rightarrow x = \dfrac{5}{0.25 }=$$ Rs. $$20$$
So, initial selling price $$= 20 - 10\% $$ of $$ 20=20-\frac{10}{100}\times 20 =$$ Rs. $$ 18.$$.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 41

Result

Comparing Quantities Test - 41

Score

-

Rank

-

SHARING IS CARING

Question 1

$$\displaystyle 12\dfrac{2}{7}\%$$

$$\displaystyle 11\dfrac{2}{7}\%$$

$$\displaystyle 13\dfrac{2}{7}\%$$

$$\displaystyle 14\dfrac{2}{7}\%$$

Solution

Question 2

$$Rs. 9,620$$

$$Rs. 10,850$$

$$Rs. 12,870$$

$$Rs. 14,240$$

Solution

Question 3

$$Rs. 582.50$$

$$Rs. 532.50$$

$$Rs. 572.50$$

$$Rs. 562.50$$

Solution

Question 4

$$Rs. 2,700$$

$$Rs. 2,800$$

$$Rs. 2,900$$

$$Rs. 3,000$$

Solution

Question 5

Rs. $$286$$

Rs. $$268$$

Rs. $$266$$

Rs. $$ 276$$

Solution

Question 6

Rs. $$1100$$

Rs. $$2400$$

Rs. $$2600$$

Rs. $$2650$$

Solution

Question 7

Rs. $$400$$

Rs. $$500$$

Rs. $$450$$

Rs. $$550$$

Solution

Question 8

$$25$$

$$30$$

$$39$$

$$42$$

Solution

Question 9

$$650$$

$$750$$

$$900$$

$$800$$

Solution

Question 10

Rs 20, Rs 18

Rs 18, Rs 20

Rs 15, Rs 18

Rs 18, Rs 15

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.