Comparing Quantities Test

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Comparing Quantities Test - 43

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Question 1
1 / -0

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$$=1000+8\% of 1000$$
$$\Rightarrow 1000+\frac{8}{100}\times 1000$$
$$\Rightarrow 1000+80=Rs.1080$$
Question 2
1 / -0

Directions For Questions

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:

...view full instructions

The Sales Tax amount a customer has to pay.

A
Rs. 1,530

B
Rs. 1,260

C
Rs. 1,950

D
Rs. 1,420

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$$=\frac{10}{100}\times 15300=Rs.1530$$
Question 3
1 / -0

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
1 / -0

The marked price of an article is Rs. $$900$$ and the rate of sales-tax on it is $$6\%$$. If on selling the article at its marked price, a retailer has to pay VAT= Rs. $$4.80$$. find the money paid by him (including sales-tax) for purching this article.

A
$$Rs.912.20$$

B
$$Rs. 890.20$$

C
$$Rs. 869.20$$

D
$$Rs. 860.20$$

Solution

Let the profit of the retailer be Rs.$$x$$
VAT paid by the shopkeeper is Rs.$$4.80$$ at the rate of sales tax $$6\%$$
$$\therefore$$ $$6\%$$ of $$x=4.80$$
$$\Rightarrow \dfrac{6}{100}x=4.80$$
$$\Rightarrow x=\dfrac{4.80\times 100}{6}\\\ \ \ \ \ \ \ =Rs.80$$
$$\therefore$$ cost price to the retailer $$=900-80$$
$$=Rs.820$$
Sales tax paid by the retailer $$=6\%$$ of $$820$$
$$\Rightarrow \dfrac{6}{100}\times 820=Rs.49.20$$
$$\therefore$$Price of the article including sales tax paid by the retailer$$=820+49.20=Rs.869.20$$
Question 5
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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 6
1 / -0

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 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
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 9
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 10
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$$=11700+10\% of 11700$$
$$\Rightarrow 11700+\frac{10}{100}\times 11700$$
$$\Rightarrow 11700+1170=Rs.12870$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 43

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Comparing Quantities Test - 43

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SHARING IS CARING

Question 1

$$Rs. 1,590$$

$$Rs. 1,080$$

$$Rs. 1,260$$

$$Rs. 1,175$$

Solution

Question 2

Rs. 1,530

Rs. 1,260

Rs. 1,950

Rs. 1,420

Solution

Question 3

Rs. 26,077.60

Rs. 25,773.60

Rs. 24,667.60

Rs. 23,073.60

Solution

Question 4

$$Rs.912.20$$

$$Rs. 890.20$$

$$Rs. 869.20$$

$$Rs. 860.20$$

Solution

Question 5

Rs. 300

Rs. 450

Rs. 550

Rs. 600

Solution

Question 6

$$Rs. 12,960$$

$$Rs. 15773$$

$$Rs. 16,222$$

$$Rs. 18,100$$

Solution

Question 7

$$10\%$$

$$12\%$$

$$14\%$$

$$16\%$$

Solution

Question 8

$$Rs. 582.50$$

$$Rs. 532.50$$

$$Rs. 572.50$$

$$Rs. 562.50$$

Solution

Question 9

$$Rs. 2,700$$

$$Rs. 2,800$$

$$Rs. 2,900$$

$$Rs. 3,000$$

Solution

Question 10

$$Rs. 9,620$$

$$Rs. 10,850$$

$$Rs. 12,870$$

$$Rs. 14,240$$

Solution

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