Comparing Quantities Test

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Comparing Quantities Test - 27

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Weekly Quiz Competition

Question 1
1 / -0

A shopkeeper marks the price of an article at Rs. $$800$$. Find the selling price, if he allows three successive discounts of $$10 \%$$, $$5 \%$$ and $$3 \%$$.

A
Rs. $$663.48$$

B
Rs. $$623.48$$

C
Rs. $$563.86$$

D
none of these

Solution

M.P =$$800$$ Rs (given)
First Dis.=$$10$$%
S.P. after first dis.=$$800-(800\times\dfrac{10}{100})$$=$$720$$ Rs
Second Dis.=$$5$$%
S.P. after second Dis.= $$720-(720\times\dfrac{5}{100})$$=$$684$$ Rs
Third Dis.=$$3$$%
S.P. after third Dis.= $$684-(684\times\dfrac{3}{100})$$=$$663.48$$ Rs
S.P. is Rs $$663.48$$
Question 2
1 / -0

An article costs Rs. $$1,050$$ to a manufacturer who lists its price at Rs. $$1,200$$. He sells it to a trader at a discount of $$5\%$$. The trader gets a further discount of $$5\%$$ for cash payment. Calculate the profit percent that the manufacturer makes on the sale.

A
$$\displaystyle 3\frac{1}{7}\%$$

B
$$\displaystyle 3\frac{1}{8}\%$$

C
$$\displaystyle 2\frac{1}{7}\%$$

D
none of these

Solution

An article costs Rs. $$1,050$$ to a manufacturer who lists its price at Rs. $$1,200$$
Manufacturer give $$5 \%$$ discount on sell, so selling price $$=$$ $$1200-1200\left ( \dfrac{5}{100} \right )= 1140$$
he gave other $$5 \%$$ discount on cash sell.
So, selling price after cash sell $$=$$ $$1140-1140\left ( \dfrac{5}{100} \right )= 1083$$
Profit $$=1083-1050=33$$
$$ \%$$ of profit $$=$$ $$\dfrac{33\times 100}{1050}$$=$$3\dfrac{1}{7}$$ $$\%$$
Question 3
1 / -0

Study the information given below and answer the question.
An article was purchased for Rs 5,600. Its price was marked up by 12%. It was sold at 5% discount on the marked price. What was the amount of discount given?

A
Rs 319.6

B
Rs 303.6

C
Rs 306.3

D
Rs 313.6

Solution

$$CP=Rs.5,600$$

$$MP= 5600+\dfrac{12} {100} 5600$$

$$MP=112\%\times 5600=Rs.6272$$

Discount$$=5\%\times 6272=Rs.313.6$$
Question 4
1 / -0

A man buys pencils at the rate of $$6$$ for Rs. $$ 5$$ and sells them at $$5$$ for Rs. $$ 6$$. What is his profit $$\%$$?

A
$$30$$

B
$$35$$

C
$$40$$

D
$$44$$

Solution

C.P. of $$1$$ pencil $$=$$ Rs. $$\dfrac {5}{6}$$
S.P. of 1 pencil $$=$$ Rs. $$\dfrac {6}{5}$$
$$\therefore$$ Profit $$=$$ S.P. $$-$$ C.P.
$$=$$ Rs. $$\left ( \dfrac {6}{5}-\dfrac {5}{6} \right )=\dfrac {36-25}{30}=$$ Rs. $$\dfrac {11}{30}$$
$$\therefore $$ Profit $$\% =$$ $$\left (\dfrac {11/30}{5/6}\times 100 \right )$$ $$\%$$
$$=\left (\dfrac {11}{30}\times \dfrac {6}{5}\times 100 \right )$$ $$\%=44\%$$
Question 5
1 / -0

By selling a transistor for $$Rs. \ 572$$, a shopkeeper earns a profit equivalent to $$30 \%$$ of the cost price of the transistor. What is the cost price of the transistor?

A
$$Rs. 340$$

B
$$Rs. 300$$

C
$$Rs. 400$$

D
$$Rs. 440$$

Solution

Let the C.P be Rs. $$100$$
Profit $$=30\%$$ of $$100$$ $$=\dfrac{30}{100}\times 100=$$ Rs. $$30$$
Then S.P $$=100+30=$$ Rs. $$130$$
if S.P is $$130$$, then C.P $$=$$ Rs. $$100$$
If S.P is $$572$$, then C.P$$=\dfrac{100}{130}\times 572=$$ Rs. $$440$$
Question 6
1 / -0

An article was purchased for $$\text{Rs }5,600$$. Its price was marked up by $$12\%.$$ It was sold at a $$5\%$$ discount on the marked price. The marked price of the article will be :

A
$$\text{Rs }6,207$$

B
$$\text{Rs }6,242$$

C
$$\text{Rs }6,292$$

D
$$\text{Rs }6,272$$

Solution

Bought price is $$Rs.\ 5600$$
Marked price is $$12\%$$ more than purchased price.
Discount$$= 5 \%$$
Hence,
Marked price$$=5600+\dfrac{12}{100}\times 5600=5600+672=Rs.\ 6272$$
Question 7
1 / -0

Which of the following comes under indirect tax?

A
Wealth Tax

B
House Tax

C
Sales Tax

D
All of these

Solution

An indirect tax is a tax that is paid to the government by one entity in the supply chain, but it is passed on to the consumer as part of the price of a good or service. It is a tax levied on goods and services rather than on income or profits.
Sales tax is a tax on sales or on the receipts from sales.
Thus, sales tax comes under indirect tax.
Hence, option C is correct.
Question 8
1 / -0

Find the compound interest by using simple interest approach for Rs 5000 for 3 years at 8% per annum compounded annnually.

A
$$1298.56$$

B
$$1289.00$$

C
$$1.200.89$$

D
None of these
Question 9
1 / -0

A retailer marks his goods at a price that he would get a profit of $$40\%$$. He sold $$40\%$$ of the goods at this price, half of the remainings at a discounts of $$20\%$$ each. Find his loss percent or profit percent on the whole.

A
$$16.6\%$$ profit

B
$$16.6\%$$ loss

C
$$19.6\%$$ profit

D
$$19.6\%$$ loss

Solution

Lets assume that retailer bought $$ \mbox{ 100 goods @ Rs 100 each} $$
He wants $$40$$% profit, then marked price $$=$$ $$ 100+ 40 = Rs 140 $$ each
He sold $$40\%$$ goods on M.P $$=$$ $$40\times140 = Rs. 5600 $$
Half of remaining at $$20\%$$ discount, then S.P $$ =$$ $$\dfrac{140\times 80\times 30}{100}= Rs\ 3360$$
Total price $$ = 5600 + 3360 + 3000 = Rs. 11960 $$
Profit $$=11960-10000=Rs\ 1960$$
$$\%$$ of profit $$=$$ $$\dfrac{1960\times 100}{10000}= 19.60$$%
Question 10
1 / -0

A greedy businessman cheats both the seller and buyer by $$20\%$$. His real profit is:

A
$$43\%$$

B
$$45\%$$

C
$$44\%$$

D
$$40\%$$

Solution

Let actual printed $$C.P. = Rs.125$$
Price paid by the business man = $$80\% ~of~ 125$$
Profit for him at the time of buying $$20\% ~of~ 125 = Rs. 25$$
S.P. of the businessman = $$120\% ~of~ Rs.125$$
Profit for him at the time of selling $$20\% ~of~ 125 = Rs.25$$
Total profit $$=Rs.50$$
$$\therefore $$ profit % $$= \dfrac{50}{125} \times 100 = 40\%$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 27

Result

Comparing Quantities Test - 27

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SHARING IS CARING

Question 1

Rs. $$663.48$$

Rs. $$623.48$$

Rs. $$563.86$$

none of these

Solution

Question 2

$$\displaystyle 3\frac{1}{7}\%$$

$$\displaystyle 3\frac{1}{8}\%$$

$$\displaystyle 2\frac{1}{7}\%$$

none of these

Solution

Question 3

Rs 319.6

Rs 303.6

Rs 306.3

Rs 313.6

Solution

Question 4

$$30$$

$$35$$

$$40$$

$$44$$

Solution

Question 5

$$Rs. 340$$

$$Rs. 300$$

$$Rs. 400$$

$$Rs. 440$$

Solution

Question 6

$$\text{Rs }6,207$$

$$\text{Rs }6,242$$

$$\text{Rs }6,292$$

$$\text{Rs }6,272$$

Solution

Question 7

Wealth Tax

House Tax

Sales Tax

All of these

Solution

Question 8

$$1298.56$$

$$1289.00$$

$$1.200.89$$

None of these

Question 9

$$16.6\%$$ profit

$$16.6\%$$ loss

$$19.6\%$$ profit

$$19.6\%$$ loss

Solution

Question 10

$$43\%$$

$$45\%$$

$$44\%$$

$$40\%$$

Solution

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