Comparing Quantities Test

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Comparing Quantities Test - 40

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Weekly Quiz Competition

Question 1
1 / -0

A shopkeeper sells an article for $$\text{Rs.}\ 21,384$$ including $$10\%$$ sales-tax. However, the actual rate of sales-tax is $$8\%$$. Find the extra profit made by the dealer.

A
$$\text{Rs.}\ 224.80$$

B
$$\text{Rs.}\ 320.80$$

C
$$\text{Rs.}\ 388.80$$

D
$$\text{Rs.}\ 455.80$$

Solution

Let, the Cost Price of the article $$=\text{C.P.} = \text{Rs.}\ x$$
Then $$x+10\%$$ of $$x=\text{Rs.}\ 21384$$
$$x+\dfrac{10x}{100}=21384$$

$$x+\dfrac{x}{10}=21384$$

$$\dfrac{11x}{10}=21384$$

$$x=\dfrac{213840}{11}=\text{Rs.}\ 19440$$

Actual rate of tax$$=8\%$$
$$\therefore$$ Selling Price after tax$$\text{S.P.}=19440+8\%$$ of $$19440$$
$$19440+\dfrac{8}{100}\times 19440$$

$$19440+1555.2=\text{Rs.}\ 20995.20$$
Profit made by shopkeeper$$=\text{Rs.}\ (21384-20995.20)=\text{Rs.}\ 388.80$$
Question 2
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A shopkeeper buys an article for Rs. 800 and spends Rs. 100 on its transportation, etc. He marks the article at a certain price and then sells it for Rs. 1,287 including 10% sales tax. Find this profit percent.

A
25%

B
30%

C
35%

D
40%

Solution

Let the $$M.P=x$$
then adding sales tax $$\Rightarrow x+10\% \ of \ x = x + \dfrac{x}{10}=1287Rs.$$
$$\Rightarrow \frac{11x}{10}=1287$$
$$\Rightarrow x=\frac{12870}{11}=Rs.1170$$
C.P of the article$$=800+transportation\ cost = 800 + 100=Rs.900$$
Profit$$=1170-900=270Rs.$$
Profit%$$=\frac{270}{900}\times 100=30$$%
Question 3
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The catalogue price of a colour T.V. is Rs. 24,000. The Shopkeeper gives a discount of 8% on the list price. He gives a further off season discount of 5% on the balance. But Sales Tax at 10% is charged on the remaining amount. Find:
The final price he has to pay for the T.V.

A
Rs. 26,077.60

B
Rs. 25,773.60

C
Rs. 24,667.60

D
Rs. 23,073.60

Solution

List price=Rs. 24000
Discount=8%
Price after first discount$$=24000-\frac{8}{100}\times 24000$$
$$\Rightarrow 24000-1920=Rs.22080$$
Another discount=5%
Price after second discount$$=22080-\frac{5}{100}\times 22080$$
$$\Rightarrow 22080-1104=Rs. 20976$$
Sales tax=10%
Amount of sales tax$$=\frac{10}{100}\times 20976=2097.6$$
Final price of the T.V$$=20976+2097.60=23073.6$$
Question 4
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A toy is purchased for Rs. 591.36 which includes 12% rebate on the printed price and 12% Sales Tax on the sale price of the toy. Find the printed price of the toy.

A
Rs. 300

B
Rs. 450

C
Rs. 550

D
Rs. 600

Solution

Let the sales price of the toy=Rs.x
Then according to the question
$$\Rightarrow x-\frac{12x}{100}=591.36$$
$$\Rightarrow \frac{100x-12x}{100}=591.36$$
$$\Rightarrow 88x=591.36\times 100$$
$$\Rightarrow x=\frac{59136}{88}=Rs.672$$
Let the printed price =Rs.y
$$\therefore y+\frac{12y}{100}=672$$
$$\Rightarrow \frac{100y+12y}{100}=672$$
$$\Rightarrow y=\frac{672\times 100}{112}=Rs.600$$
Question 5
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Directions For Questions

The catalogue price of a colour T.V. is Rs. 18,000. The shopkeeper sells it to a customer at a discount of 20% on the catalogue price. He gives a futher off-season discount of 10% is charged on the remaining amount. Find:

...view full instructions

The final price he has to pay for the colour T.V.

A
$$Rs. 12,960$$

B
$$Rs. 15773$$

C
$$Rs. 16,222$$

D
$$Rs. 18,100$$

Solution

M.P=Rs.18000
Discount=20%
Price after discount$$=\frac{80}{100}\times 18000=14400$$
Off seasons discount=10%
Final price of the T.V=$$14400-\frac{10}{100}\times 14400= Rs.12960$$
Question 6
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The catalogue price of an article is Rs. 20,000. The dealer allows two successive discounts 15% and 10%. If Sales Tax at the rate of 10% is charged on the remaining amount. Find:
The final total price that customer has to pay for the article.

A
Rs. 13,830

B
Rs. 16,830

C
Rs. 19,830

D
None of these

Solution

M.P of the article =Rs.20000
Discount=15% and 10%
C.P after discount$$=20000\times \frac{85}{100}\times \frac{90}{100}=Rs.15300$$
Rate of sales tax=10%
Sales tax amount=10% of 15300$$=\frac{10}{100}\times 15300=Rs.1530$$
Final price of the article$$=15300+1530=Rs.16830$$
Question 7
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A shopkeeper buys an article for Rs. 7,500 and increases its price. He sells this article for Rs. 9,156 including 9% sales tax on the increased price. Calculate, by how much per cent does the shopkeeper increases the price of the article.

A
$$10\%$$

B
$$12\%$$

C
$$14\%$$

D
$$16\%$$

Solution

Let shopkeeper increase the price Rs.x
$$\therefore x+9\% of x=9156$$
$$\Rightarrow x+\frac{9x}{100}=9156$$
$$\Rightarrow \frac{109x}{100}=9156$$
$$\Rightarrow 109x=915600$$
$$\Rightarrow x=\frac{915600}{109}=Rs.8400$$
Increment $$=8400-7500=Rs.900$$
% increment$$=\frac{900}{7500}\times 100=12$$%
Question 8
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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
$$Rs. 2,500$$

B
$$Rs. 2,700$$

C
$$Rs. 2,900$$

D
$$Rs. 3,100$$

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 9
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Directions For Questions

A shopkeeper buys a camera at a discount of 20% from the wholesaler, the printed price of the camera being Rs. 1,600 and the rate of sales tax is 6%. The shopkeeper sells it to the buyer at the printed price and charges tax at the same rate. Find

...view full instructions

The price at which the camera can be bought from the shopkeeper.

A
$$Rs. 1,396$$

B
$$Rs. 1,496$$

C
$$Rs. 1,596$$

D
$$Rs. 1,696$$

Solution

Printed price=Rs.1600
Rate of sales tax=6%
Total S.P$$=1600+6\% of 1600$$
$$\Rightarrow 1600+\frac{6}{100}\times 1600$$
$$\Rightarrow 1600+96=Rs.1696$$
Hence the price at which camera can be bought from the shopkeeper=Rs.1669
Question 10
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Directions For Questions

A retailer buy an article for Rs. $$800$$ and pays the sales-tax at the rate of $$8\%$$. The retailer sells the same article to customer for Rs. $$1,000$$ and charges sales-tax at the same rate. Find:

...view full instructions

A price paid by a customer to buy this article.

A
$$Rs. 1,590$$

B
$$Rs. 1,080$$

C
$$Rs. 1,260$$

D
$$Rs. 1,175$$

Solution

S.P of the article =Rs.1000
rate of sales tax=8%
The price paid by the customer to buy the article$$=1000+8\% of 1000$$
$$\Rightarrow 1000+\frac{8}{100}\times 1000$$
$$\Rightarrow 1000+80=Rs.1080$$

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Comparing Quantities Test - 40

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Comparing Quantities Test - 40

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SHARING IS CARING

Question 1

$$\text{Rs.}\ 224.80$$

$$\text{Rs.}\ 320.80$$

$$\text{Rs.}\ 388.80$$

$$\text{Rs.}\ 455.80$$

Solution

Question 2

25%

30%

35%

40%

Solution

Question 3

Rs. 26,077.60

Rs. 25,773.60

Rs. 24,667.60

Rs. 23,073.60

Solution

Question 4

Rs. 300

Rs. 450

Rs. 550

Rs. 600

Solution

Question 5

$$Rs. 12,960$$

$$Rs. 15773$$

$$Rs. 16,222$$

$$Rs. 18,100$$

Solution

Question 6

Rs. 13,830

Rs. 16,830

Rs. 19,830

None of these

Solution

Question 7

$$10\%$$

$$12\%$$

$$14\%$$

$$16\%$$

Solution

Question 8

$$Rs. 2,500$$

$$Rs. 2,700$$

$$Rs. 2,900$$

$$Rs. 3,100$$

Solution

Question 9

$$Rs. 1,396$$

$$Rs. 1,496$$

$$Rs. 1,596$$

$$Rs. 1,696$$

Solution

Question 10

$$Rs. 1,590$$

$$Rs. 1,080$$

$$Rs. 1,260$$

$$Rs. 1,175$$

Solution

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