Comparing Quantities Test

Result

Comparing Quantities Test - 68

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Question 1
1 / -0

Sales tax on the cloth is reduced by $$10\%$$ but the sales increase by $$10\%$$. What is the effect on the revenue earned as sales tax?

A
Remains the same

B
Increases by $$5.5\%$$

C
Decreases by $$5.5\%$$

D
Decreases by $$1\%$$

Solution

Let the sales be of $$ x$$ and the sales tax be $$y%$$

Then,
Revenue=$$x+\dfrac{y}{100}x~~~~~~~~~~~-(1)$$

When Sales tax recued by $$10%$$ but sales increase by $$10%$$ then

Revenue$$=(x+\dfrac{10}{100}x+\dfrac{(y-10)}{100}x$$

$$=x+\dfrac{10}{100}x+\dfrac{y}{100}x-\dfrac{10}{100}x$$

$$=x+\dfrac{y}{100}x~~~~-(2)$$

from eqs.(1) and (2) we

Revenue remains the same.
Question 2
1 / -0

Choose the most appropriate option.
A trader sells rice at a profit of $$20\%$$ and uses weights which are $$10\%$$ less than the correct weight. The total gain earned by him is:

A
$$22 \frac{2}{9} \%$$

B
$$35\%$$

C
$$33 \frac{1}{3} \%$$

D
$$30\%$$.
Question 3
1 / -0

A species has an initial population $${ 4 }^{ 10 }.$$ At the end of second day, it decreases by the same percentage. If the process continues in the same pattern, the number of days for the population to reach $${ 3 }^{ 10 }.$$ is

A
10

B
20

C
50

D
100

Solution
Question 4
1 / -0

A reduction of $$20%$$ in the price of wheat enables Bhuvnesh to buy $$5\ kg$$ more wheat for $$Rs.320$$. The original rate (in rupees per $$kg$$) of wheat was:

A
$$16$$

B
$$18$$

C
$$20$$

D
$$21$$

Solution
Question 5
1 / -0

A dishonest dealer professes to sell his goods at cost price but uses a weight of $$960\ gms$$ instead of a $$Kg$$ weight. Find his gain $$%$$ ?

A
$$\dfrac { 27 }{ 4 }\%$$

B
`$$\dfrac { 8 }{ 3 }\%$$

C
$$\dfrac { 25 }{ 6 }\%$$

D
$$\dfrac { 21 }{ 4 }\%$$

Solution
Question 6
1 / -0

If the selling price of an article is $$\frac{4}{3}rd$$ of its cost price the profit in the transaction is

A
$$16\frac{2}{3}$$%

B
$$20\frac{1}{2%}$$

C
$$25\frac{1}{2}$$%

D
$$33\frac{1}{3}$$%

Solution
Question 7
1 / -0

The value of a machine depreciate 5% annually. If is present value is Rs 200000, its value after 2 years will be

A
Rs 1,80,500

B
Rs 1,99,000

C
Rs 1,80,000

D
Rs 2,10,000

Solution
Question 8
1 / -0

A bookseller sells a book at a gain of 10%.If he had brought it at 4% less sold it for Rs.6 more,he would have gained $$18\frac {3}{4}$$%.The cost price of the book is

A
Rs.130

B
Rs.140

C
Rs.150

D
Rs.160

Solution
Question 9
1 / -0

If 20% of x= 30% of y + 40% of z, then

A
$$x=\frac { 4y+3z }{ 2 }$$

B
$$y=\frac { 2x+4z }{ 3 }$$

C
$$z=\frac { 2x-3y }{ 4 }$$

D
$$z=\frac { 4x-3y }{ 2 }$$

Solution
Question 10
1 / -0

Amita purchased a basket ball for 2896 including sales tax. If the rate of sales tax is $$ 12 \%, $$ then the selling price of the basket ball is:

A
$$2586$$

B
$$2518$$

C
$$2656$$

D
None of the above

Solution