Comparing Quantities Test

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Comparing Quantities Test - 19

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Weekly Quiz Competition

Question 1
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 2
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 3
1 / -0

If selling price of $$10$$ articles is equal to cost price of $$11$$ articles, then gain is:

A
$$8$$%

B
$$9$$%

C
$$8.5$$%

D
$$10$$%

Solution

Let CP of $$1$$ article =Rs. $$1$$
CP of $$11$$ article =Rs. $$11$$
CP of $$10$$ article =Rs. $$10$$
SP of $$10$$ article =Rs. $$11$$
Profit % $$=\cfrac { 11-10 }{ 10 } \times 100$$
$$=10$$%
Question 4
1 / -0

If $$P=5,000$$, $$T=1$$, $$S.I.=$$Rs. $$300$$, R will be.

A
$$5\%$$

B
$$4\%$$

C
$$6\%$$

D
None of the above

Solution

Given
$$I = Rs\ 300$$
$$P= Rs\ 5000$$
$$T= 1$$
Apply the formula for simple interest
$$ I = \cfrac{P\times R \times T }{100}$$
$$ 300 = \cfrac{5000 \times 1 \times R }{100 }$$
$$ R= \cfrac{300 }{50} = 6$$%
Hence option (C) is correct option
Question 5
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Total amount of money withdrawn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 6
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 7
1 / -0

The ratio of boys to girls in Mona's class is 3 : 4 .Which of the following ratio is equivalent to 3 : 4 ?

A
$$1 : 2$$

B
$$6 : 9$$

C
$$16: 18 $$

D
$$18 : 24$$

Solution

(B) $$6 : 9 = 2\times3 : 3\times3$$
$$= 2:3$$
(C) $$16:18 = 8\times2:9\times2$$
$$= 8:9$$
(D) $$18:24 = 3\times6:4\times6$$
$$ = 3:4$$

Hence, the answer is $${18}:{24}$$.
Question 8
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 9
1 / -0

If cost price of an article is Rs. 10 and its selling price is Rs. 15, then profit % is:

A
5

B
10

C
20

D
50

Solution

Cost price $$= Rs. 10$$
Selling price $$= Rs. 15$$

Profit = Selling price - Cost price $$= 15-10= 5Rs.$$

Hence, profit% $$ = \dfrac{profit}{CP}\times 100$$

$$\Rightarrow \dfrac{15-10}{10}\times100$$ $$=\dfrac{5}{10}\times100$$ $$=50\%$$

Option D is correct.
Question 10
1 / -0

The period of time for which the interest is calculated is called the.

A
Market period

B
Cooling period

C
Conversion period

D
None of the above

Solution

The period of time for which the interest is calculated is called conversion period.

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 19

Result

Comparing Quantities Test - 19

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Question 1

$$10\%$$

$$9\%$$

$$3\%$$

$$1\%$$

Question 2

Rs. 60

Rs. 58

Rs. 56

Rs. 55

Solution

Question 3

$$8$$%

$$9$$%

$$8.5$$%

$$10$$%

Solution

Question 4

$$5\%$$

$$4\%$$

$$6\%$$

None of the above

Solution

Question 5

Rs. $$30001$$

Rs. $$29101$$

Rs. $$29001$$

Rs. $$30781$$

Solution

Question 6

$$2$$%

$$4$$%

$$6$$%

$$8$$%

Solution

Question 7

$$1 : 2$$

$$6 : 9$$

$$16: 18 $$

$$18 : 24$$

Solution

Question 8

$$6$$

$$3$$

$$4$$

$$5$$

Solution

Question 9

5

10

20

50

Solution

Question 10

Market period

Cooling period

Conversion period

None of the above

Solution

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