Comparing Quantities Test

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Comparing Quantities Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

A saree trader brings some sarees at $$25\%$$ rebate on $$Rs 1600$$ printed price. He sells each scree at $$Rs 1440$$ per piece. What amount of profit or loss does he make? How much percentage of rebate does a customer earn?

A
$$Rs 180$$ Profit, $$15\%$$ Rebate

B
$$Rs 240$$ Profit, $$10\%$$ Rebate

C
$$Rs 100$$ Profit, $$18\%$$ Rebate

D
None of these

Solution

$$\text{discount % availed by the trader = 25%}$$
$$\text{Printed price of the saree = Rs 1600}$$
$$\text{Actual Cost Price of the saree = Rs 1600 - 1600}$$ $$\times \dfrac{25}{100} = Rs 1600 - 400
= Rs 1200$$
$$\text{Now Selling price of the saree = Rs 1440.}$$
$$\text{Profit = Selling price - Cost Price = Rs 1440 - Rs 1200 = Rs 240.}$$
$$rebate=\text{Print price - selling price}=1600-1440=160$$
$$rebate\%=\dfrac{rebate}{print\,price}\times100=\dfrac{160}{1600}\times100=10\%$$
Question 2
1 / -0

40% of 2400+ ?% of 600=50% of 3840

A
50

B
40

C
80

D
None of these

Solution

solution:
$$ \dfrac{40}{100}$$ x 2400 + $$\dfrac{x}{100}$$ x 600 = $$\dfrac{50}{100}$$ x 3840
$$960 $$ + $$\dfrac{x}{100}$$ x 600 = 1920
$$\dfrac{x}{100}$$ x 600 = 960
x = 160
hence the correct opt: D
Question 3
1 / -0

Jimmy's balance in a bank on 1st November was Rs.$$58709$$. He withdrew RS.$$13090$$ and Rs.$$16518$$ from his account and deposits Rs.$$1680$$ in his account in that month. What was the balance at the end of the month?

A
Rs. $$30001$$

B
Rs. $$29101$$

C
Rs. $$29001$$

D
Rs. $$30781$$

Solution

Amount of money in the account on 1st November$$=Rs.58709$$
Total amount of money withdrawn
$$=Rs.(13090+16518)=Rs.29608$$
Amount of money deposited$$=Rs.1680$$
Balance left at the end of the month
$$=Rs.(58709-29608+1680)$$
$$=Rs.(60389-29608)=Rs.30781$$
Question 4
1 / -0

A dealer marked his goods $$20$$% above the cost price and allows a discount of $$10$$%. Then, the gain percent is

A
$$2$$%

B
$$4$$%

C
$$6$$%

D
$$8$$%

Solution

Let CP be $$=100$$
MP $$20$$% above CP$$=120$$
After allowing Discount of $$10$$%
$$SP=\cfrac { 90 }{ 100 } \times 120=108$$
Gain $$=8$$%
Question 5
1 / -0

Indirect tax is:

A
Sales Tax

B
House Tax

C
Water Tax

D
Surcharge

Solution

Direct taxes are paid in entirety by a taxpayer directly to the government. It is also defined as the tax where the liability, as well as the burden to pay it, resides on the same individual. Direct taxes are collected by the central government as well as state governments according to the type of tax levied. Major types of direct tax include Income tax, corporate tax etc.

Indirect tax includes those taxes where the liability to pay the tax lies on a person who then shifts the tax burden to another individual. Some types of indirect taxes are sales tax, service tax etc.

Therefore sales tax is an indirect tax.
Question 6
1 / -0

How many of the following transactions are profitable?
i) Two tables bought for Rs.30,500 and sold each at Rs.15,500.
ii) Three fans bought for Rs.12,500 and sold each at Rs.4,300.
iii) Three shirts bought for Rs.450 each and sold at Rs.1,430.
iv) Two computers bought for Rs.15,200 each and sold at Rs.38,500.
v) A pair of denims bought for Rs.1,000 and sold at Rs.850.
vi) Two mobiles bought for Rs.49,000 and sold each at Rs.25,300.

A
$$6$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

Profit is there when selling price is greater then cost price.
$$(1)$$ $$CP=Rs.30,500\\SP=15,500\times 2=31,500\\SP>CP$$
$$\implies$$Profit

$$(2)$$ $$CP=Rs.12,500\\SP=4,300\times 3=12,900\\SP>CP$$
$$\implies$$Profit

$$(3)$$ $$CP=450\times 3=Rs.1,350\\SP=1,430\\SP>CP$$
$$\implies$$Profit

$$(4)$$ $$CP=15,200\times 2=Rs.30,000\\SP=38,500\\SP>CP$$
$$\implies$$Profit

$$(5)$$ $$CP=Rs.1,000\\SP=850\\SP<CP$$
$$\implies$$Loss

Hence ,there are total $$5$$ profitable transactions.
Question 7
1 / -0

The compound interest on $$Rs. 64,000$$ for $$3$$ years, compounded annually at $$7.5$$% per annum is

A
$$Rs. 14,400$$

B
$$Rs. 15,705$$

C
$$Rs. 15,507$$

D
$$Rs. 15,075$$

Solution

$$Principal = 64000$$
$$Rate = 7.5\% \,p.a$$
$$Time = 3 years$$
$$\text{Where r is the rate and t is the time.}$$
$$CI = 64000 (1 + 7.5/100)^3 - 64000$$
$$= 64000 (1 + 75/1000)^3 - 64000$$
$$= 64000 (1 + 3/40)^3 - 64000$$
$$= 64000 \times(43/40)^3 - 64000$$
$$= 64000 \times(43/40 \times 43/40 \times 43/40) - 64000$$
$$= (43 \times 43 \times 43) - 64000$$
$$= 79507 - 64000$$
$$= 15507$$
$$\text{Hence CI will be 15507 rupees}$$
Question 8
1 / -0

Mr. Z buys an article for Rs. 70/- and sells it at a loss of 20%. Then the selling price will be

A
Rs. 60

B
Rs. 58

C
Rs. 56

D
Rs. 55

Solution

Cost price of the article$$=Rs.\ 70 /-$$.
Loss$$=20\%\ $$
$$\therefore Loss = 70 \times \dfrac{20}{100}=Rs.\ 14$$
$$ \therefore $$ Selling Price $$ =Rs.\ 70-14 $$
$$=Rs.\ 56$$
Question 9
1 / -0

Choose the correct answer from the alternatives given :
If the cost price and selling price of an article are in the ratio 10: 11 then the percentage of profit is

A
$$10\%$$

B
$$9\%$$

C
$$3\%$$

D
$$1\%$$
Question 10
1 / -0

$$175\times ?\ =\ 140\%$$ of 1200

A
8.4

B
7.5

C
13.44

D
9.6

Solution

solution:
175 x$$x$$ = $$\dfrac{140}{100}$$ of 1200
175 x$$x$$ = 1680
$$x$$ = $$\dfrac{1680}{175}$$
$$x$$ = 9.6
hence the correct opt: D

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 22

Result

Comparing Quantities Test - 22

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SHARING IS CARING

Question 1

$$Rs 180$$ Profit, $$15\%$$ Rebate

$$Rs 240$$ Profit, $$10\%$$ Rebate

$$Rs 100$$ Profit, $$18\%$$ Rebate

None of these

Solution

Question 2

50

40

80

None of these

Solution

Question 3

Rs. $$30001$$

Rs. $$29101$$

Rs. $$29001$$

Rs. $$30781$$

Solution

Question 4

$$2$$%

$$4$$%

$$6$$%

$$8$$%

Solution

Question 5

Sales Tax

House Tax

Water Tax

Surcharge

Solution

Question 6

$$6$$

$$3$$

$$4$$

$$5$$

Solution

Question 7

$$Rs. 14,400$$

$$Rs. 15,705$$

$$Rs. 15,507$$

$$Rs. 15,075$$

Solution

Question 8

Rs. 60

Rs. 58

Rs. 56

Rs. 55

Solution

Question 9

$$10\%$$

$$9\%$$

$$3\%$$

$$1\%$$

Question 10

8.4

7.5

13.44

9.6

Solution

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