Comparing Quantities Test

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Comparing Quantities Test - 59

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Weekly Quiz Competition

Question 1
1 / -0

A manufacturer reckons that the value of a machine which costs him Rs. $$15025,$$ will depreciate each year by $$20$$%. Find the estimated value at the end of $$5$$ years.

A
$$12020$$

B
$$9616$$

C
$$6154.24$$

D
$$4923.39$$

Solution

Value after 5 years $$=15025\times(1-(\dfrac{20}{100})^5)$$
$$=15025\times\>0.32768=Rs.4923.39$$
Question 2
1 / -0

Mr. X, a business man had the income in the year $$2000$$, such that he earned a profit of $$20$$% n his investment in the business. In the year $$2001$$, his investment was less by Rs. $$5000$$ but still had the same income (Income=Investment+Profit) as that in $$2000$$. Thus, the percent profit earned in $$2001$$ increased by $$6$$%. What was his investment in $$2000$$?

A
Rs. $$1,02,000$$

B
Rs. $$1,05,000$$

C
Rs. $$1,50,500$$

D
Data inadequate

E
None of these

Solution

Let investment of Mr. X be 'I' in $$2000$$
Profit in year $$2000=20$$% on investment
$$=\cfrac { I }{ 5 } $$
$$\therefore $$ Total income in year $$2000=I+\cfrac { I }{ 5 } $$
$$=\cfrac { 6I }{ 5 } $$
Investment of Mr. X in $$2001=(I-5000)$$
Income is same in both $$2000$$ and $$2001$$
$$\therefore (I--5000)+P=\cfrac { 6I }{ 5 } $$, P is iprofit in year $$2001$$
$$P=\cfrac { I }{ 5 } +5000$$
Profit percent increased by $$6$$%, $$\therefore $$ New profit percent $$20+6=26$$%
$$\cfrac { \cfrac { I }{ 5 } +5000 }{ I-500 } =\cfrac { 26 }{ 100 } \Rightarrow 20I+5000(100)=26I-26(5000)$$
$$\Rightarrow 6I=(126)5000$$
$$\therefore I=$$Rs. $$1,05,000$$
Question 3
1 / -0

A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights . His total gain is :

A
10 %

B
11 %

C
20 %

D
21%

E
$$22 \dfrac{2}{9}\%$$

Solution

So let, while buying Rs paid for n items.
But Rs made gain of 10% .Thus Rs. received
$$ 1.1 x$$ items. Now on selling again Rs.
made $$ 1.1(1.1x)= 1.21x $$
So,
the net profit Rs moles = $$ \left ( \dfrac{1.21x}{x} - 1 \right )\times 100 \% $$
$$ = 21 \%$$
Question 4
1 / -0

Hemant sold 10 sarees for a total profit of Rs.460 and 12 sarees for a total profit of Rs. 144. At what profit per saree should he sell the remaining 20 sarees so that he gets an average profit of Rs. 18 per saree ?

A
Rs. 7.40

B
Rs. 7.60

C
Rs. 7.80

D
Rs. 8
Question 5
1 / -0

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in:

A
no loss, no gain

B
loss of Rs.$$\dfrac{1}{12}$$lakh

C
loss of Rs.$$\dfrac{1}{18}$$lakh

D
gain of Rs.$$\dfrac{1}{24}$$lakh
Question 6
1 / -0

The price of a scooter is $$Rs.14000$$. If it depreciates by $$2\% $$ of its value at the beginning of each year. Find the sale value after $$4$$ years.

A
$$Rs\,\,1213.154$$

B
$$Rs\,\,12000.154$$

C
$$Rs\,\,12913.154$$

D
None of these

Solution

Given that

Original value of the scooter $$=Rs.14000$$

Rate of depreciation $$=2$$%

The value of the scooter after $$4$$ years

$$ =14000\times {{\left( 1-\dfrac{2}{100} \right)}^{4}} $$

$$ =14000\times {{\left( 0.98 \right)}^{4}} $$

$$ =14000\times 0.92236816 $$

$$ =12913.154 $$

Thus, the value of the scooter after $$4$$ years $$=Rs\,\,12913.154$$
Hence, this is the answer.
Question 7
1 / -0

The lebelled price of a cupboard is $$Rs. 6500$$. The shopkeeper sold it by giving $$5%$$ discount on the labelled price and earned a profit of $$15%$$. What approximately is the cost price of the cupboard?

A
$$Rs. 5000$$

B
$$Rs. 5350$$

C
$$Rs. 5600$$

D
$$Rs .5800$$

E
$$Rs .6000$$
Question 8
1 / -0

If Aparna got Rs.25 discount on purchasing a book for Rs.225, then the discount percentage is :

A
12%

B
11%

C
10%

D
9%

Solution

Price of the book $$= Rs. 225$$
Discount $$Rs. 25$$
Actual price $$= Rs. \left( 225 + 25 \right) = Rs. 250$$
Discount $$\% = \cfrac{25}{250} \times 100 = 10 \%$$
Hence the discount percentage is $$10 \%$$.
Hence the correct answer is $$\left( C \right) 10 \%$$.
Question 9
1 / -0

$$12$$ Copies of book were sold for $$Rs. 1800$$ thereby gaining cost price of $$3$$ copies. The cost price of a copy of the book is

A
$$Rs. 120$$

B
$$Rs. 150$$

C
$$Rs. 1200$$

D
$$Rs. 1500$$

Solution

Let Cost price of $$1$$ book $$=x$$
Selling price of $$12$$ books $$=Rs.1800$$
Gain $$=3x$$
Selling price of $$12$$ book -Cost price of $$12$$ books = Gain
$$1800-12x=3x$$
$$1800=12x+3x$$
$$1800=15x$$
$$x=120$$
$$\therefore$$ Cost of $$1$$ book $$=Rs\ 120$$
Question 10
1 / -0

If selling price = $$Rs.900$$. Discount is $$20\%$$, then find the market price.

A
$$Rs.\ 1005$$

B
$$Rs.\ 1025$$

C
$$Rs.\ 2125$$

D
$$Rs.\ 1125$$

Solution

Let the market price be $$x$$,

According to question, Discount is $$20$$%,

So, $$x-\dfrac{20}{100}x=SP$$

$$\implies \dfrac{4x}{5}=900$$

$$\implies x=1125$$

Hence , Market Price $$=Rs.\ 1125$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 59

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Comparing Quantities Test - 59

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SHARING IS CARING

Question 1

$$12020$$

$$9616$$

$$6154.24$$

$$4923.39$$

Solution

Question 2

Rs. $$1,02,000$$

Rs. $$1,05,000$$

Rs. $$1,50,500$$

Data inadequate

None of these

Solution

Question 3

10 %

11 %

20 %

21%

$$22 \dfrac{2}{9}\%$$

Solution

Question 4

Rs. 7.40

Rs. 7.60

Rs. 7.80

Rs. 8

Question 5

no loss, no gain

loss of Rs.$$\dfrac{1}{12}$$lakh

loss of Rs.$$\dfrac{1}{18}$$lakh

gain of Rs.$$\dfrac{1}{24}$$lakh

Question 6

$$Rs\,\,1213.154$$

$$Rs\,\,12000.154$$

$$Rs\,\,12913.154$$

None of these

Solution

Question 7

$$Rs. 5000$$

$$Rs. 5350$$

$$Rs. 5600$$

$$Rs .5800$$

$$Rs .6000$$

Question 8

12%

11%

10%

9%

Solution

Question 9

$$Rs. 120$$

$$Rs. 150$$

$$Rs. 1200$$

$$Rs. 1500$$

Solution

Question 10

$$Rs.\ 1005$$

$$Rs.\ 1025$$

$$Rs.\ 2125$$

$$Rs.\ 1125$$

Solution

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