Comparing Quantities Test

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Comparing Quantities Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

The list price of a parker pen is Rs 160 and a customer buys it for Rs 122.40 after two successive discounts. If first is 10% then the second is

A
18%

B
17%

C
16%

D
15%

Solution

Total discount $$= Rs 160 -Rs 122.40 = Rs 37.60$$
1st discount $$= 10\% of Rs 160 = Rs 16$$.
2nd discount $$= Rs 37.60-Rs 16 = Rs 21.60$$
Balance after firsr discount $$= Rs 160-Rs 16 = Rs 144$$.
If 2nd discount is $$x\%$$, then $$x\% of Rs 144 =Rs 21.60$$, so $$x =15$$.
Question 2
1 / -0

When the price of eggs is reduced by 20% it enables a man to buy 20 more eggs for Rs 40. Then the reduced price per egg is:

A
38 paise

B
40 paise

C
42 paise

D
44 paise

Solution

Let's say Price per egg $$=x$$
Number of eggs bought for $$Rs40= $$ $$\dfrac{40}{x}$$
Reduced price of egg $$= x-20\%$$ of $$x$$
$$\Rightarrow x-0.2x=0.8x$$
Number of eggs that can be bought=$$\dfrac{40}{0.8x}$$
As per question,
$$\Rightarrow \dfrac { 40 }{ 0.8x } -\dfrac { 40 }{ x } =20$$

$$\Rightarrow \dfrac { 40-32 }{ 0.8x } =20$$

$$\Rightarrow \dfrac { 8 }{ 0.8x } =20$$

$$\Rightarrow 16x=8$$
$$\Rightarrow x=2$$
Reduced price $$= 2\times \dfrac { 20 }{ 100 } =0.40\ paise$$
Hence, the reduced price per egg will be 40 paise as 20% of Rs 2 is 40paise.
Question 3
1 / -0

Ranga buys a car for Rs 1,00,000 and spends Rs 20,000 on repairs. He rents it and earns Rs 4,000 per month. After 8 months, he sells the car for Rs 1,00,000. His total earning in rupees is

A
15,000

B
18,000

C
20,000

D
12,000

Solution

Total investment $$= 1,00,000 + 20,000 = 1,20,000$$
His earning in 8 months $$= 4,000 \times 8 = 32,000$$
Total earnings $$= 1,00,000 + 32,000 -1,20,000 = 1,32,000 -1,20,000 =Rs 12,000$$
Question 4
1 / -0

A trader marked the price of his commodity so as to include a profit of 25%. He allowed a discount of 16% on the MP. His actual profit was

A
5%

B
9%

C
16%

D
25%

Solution

Let the $$\text {CP}$$ of the commodity is $$Rs.\ 100.$$

Therefore, expected $$\text {MP}$$ of the commodity is $$Rs.\ 125$$.

According to the question,
Discount$$=\dfrac{125\times 16}{100}=Rs.\ 20$$

Therefore,
$$SP=125-20=Rs.\ 105$$

Therefore,
Actual Profit $$=\dfrac{(105-100)}{100}\times 100=5\%$$

Therefore, net profit is $$5\%$$.
Question 5
1 / -0

Which tax is collected by Panchayat?

A
Sales Tax

B
Custom Duty

C
Land Revenue

D
Tax on local fairs

Solution

Tax on Local Affairs is collected by Panchayat.
All other taxes are collected by Central Government.
Question 6
1 / -0

Which of the following is a source of income of the Gram Panchayats ?

A
Income Tax

B
Sales Tax

C
Professional Tax

D
Levy duties

Solution

Levy Duties constitute to the source of income of the Gram Panchayats.
All other sources constitute to the income of Central Government.
Question 7
1 / -0

A and B invest Rs 200 and Rs 300 respectively in a business for a period for three years and two years respectively. Then the profit will be divided into the ratio of

A
4:3

B
2:3

C
1:1

D
6:5

Solution

$$Ratio\quad in\quad which\quad they\quad should\quad share\quad their\quad profits=Raio\quad of\quad investments\times \quad Time\quad period$$
$$=\frac { 200\times 3 }{ 300\times 2 } =\frac { 600 }{ 600 } =1:1$$
Question 8
1 / -0

Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses 20%. Then he made

A
no profit no loss

B
loss of 4%

C
gain of 1%

D
none of these

Solution

on the first article Jayant gains 20%
so if CP is 100, selling price will be 120 and profit will be Rs20
when selling price is 120 profit is 20
when selling price is 14 profit is $$=\frac { 20 }{ 120 } \times 14=2.33$$
cost price =selling price-profit
=14-2.33
=Rs11.67
on second article he losses 20%
so if CP is 100, selling price will be 80 and Loss will be Rs20
when selling price is 80 loss is 20
when selling price is 14 loss is $$=\frac { 20 }{ 80 } \times 14=3.5$$
cost price is =selling price+loss
=14+3.5
=17.5
total selling price=14+14=Rs28
total cost price=17.5+11.67=Rs29.17
net loss=29.17-28=Rs1.17
loss percantage=$$=\frac { 1.17 }{ 29.17 } \times 100=4$$
he makes a loss of 4%
Question 9
1 / -0

A shopkeeper buys paper at Rs 50 per ream. To gain 20%, the selling price per quire will be (take 1 ream = 20 quires)

A
Re 1

B
Rs 2

C
Rs 3

D
Rs 5

Solution

Shopkeeper buys paper at Rs 50 per ream
1 ream=20 quires(given)
20 quires he buys at Rs50
1 quire he buys at=$$Rs\frac { 50 }{ 20 } $$
To gain 20 percant, selling price per quire will be
$$Rs\left( \frac { 50 }{ 20 } +\frac { 20 }{ 100 } \times \frac { 50 }{ 20 } \right) $$
$$\left( 2.5+0.5 \right) =Rs3$$
Question 10
1 / -0

If the cost of a pen is $$Rs.\ 12.60$$ and the gain was $$10\%$$ of the marked price, then the marked price of the pen was

A
$$Rs.\ 15$$

B
$$Rs.\ 14$$

C
$$Rs.\ 13$$

D
$$Rs.\ 12$$

Solution

Let the marked price be $$Rs.\ 100.$$

It is given that $$10\%$$ gain is made on the marked price.
So,
$$Gain=100\times \dfrac { 10 }{ 100 } $$
$$=Rs.\ 10$$

Cost price will be $$100-10=Rs.\ 90.$$

When $$Rs.\ 90$$ is the cost price marked price is $$Rs.\ 100.$$
So, when $$Rs.\ 12.60$$ is the cost price marked price will be $$\dfrac { 100 }{ 90 } \times 12.60=Rs.\ 14.$$

Hence, option $$B$$ is correct.

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Comparing Quantities Test - 17

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Comparing Quantities Test - 17

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SHARING IS CARING

Question 1

18%

17%

16%

15%

Solution

Question 2

38 paise

40 paise

42 paise

44 paise

Solution

Question 3

15,000

18,000

20,000

12,000

Solution

Question 4

5%

9%

16%

25%

Solution

Question 5

Sales Tax

Custom Duty

Land Revenue

Tax on local fairs

Solution

Question 6

Income Tax

Sales Tax

Professional Tax

Levy duties

Solution

Question 7

4:3

2:3

1:1

6:5

Solution

Question 8

no profit no loss

loss of 4%

gain of 1%

none of these

Solution

Question 9

Re 1

Rs 2

Rs 3

Rs 5

Solution

Question 10

$$Rs.\ 15$$

$$Rs.\ 14$$

$$Rs.\ 13$$

$$Rs.\ 12$$

Solution

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