Comparing Quantities Test

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Comparing Quantities Test - 58

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Weekly Quiz Competition

Question 1
1 / -0

A retailer buys a radio for Rs. $225$ . His overhead expenses are Rs. $15$ . If he sells the radio for Rs. $300$ , determine his profit percent.

A
$85\%$

B
$25\%$

C
$65\%$

D
None of these

Solution

cost price for radio= $225+15$
$= 240 Rs.$
profit $=x\%$

$240+\dfrac{x}{100}(240)=300$

$240$ $\left ( \dfrac{x+100}{100} \right )$ = $300$

( $x+100$ )= $\dfrac{1000}{8}$

$x$ = $250-100 \%$

$x$ = $25\%$
Question 2
1 / -0

If the cost price is $96\%$ of the selling price, then what is the profit percent?

A
$5.72\%$

B
$3.72\%$

C
$8.92\%$

D
$4.17\%$

Solution

If the $CP$ is $96\%$ of the $SP$
$i.e SP=100$ then $CP=96$
Profit $=SP-CP$
profit $\Rightarrow 4$
profit $\%\Rightarrow \dfrac{4}{96}\times 100$
$\Rightarrow 4.16\%$
Question 3
1 / -0

If the cost of transporting $150$ kg of goods for $120$ km is Rs $50.$ what will be the cost of transporting $180$ kg of goods for $300$ km?

A
Rs. $110$

B
Rs. $200$

C
Rs. $180$

D
Rs. $150$

Solution

Cost of transporting $150\ kg$ over $120\ km=50$
Cost of transporting $1\ kg$ over $1\ km=\dfrac{50}{(150\times 130)}$
Cost of transporting $180\ kg$ over $300\ km=\dfrac{50}{(150\times 130)}\times (180\times 300)=Rs.150$
Question 4
1 / -0

Aditya bought $200$ dozen orange at $Rs.\ 10$ per dozen and he spent $Rs. \ 500$ on transportation. He sold each orange at $Rs.\ 1$ each. What was his profit or loss $\%$ ?

A
$5\%$

B
$6\%$

C
$4\%$

D
$3\%$

Solution
Question 5
1 / -0

Ram purchases a chair at $Rs.70$ and spent $Rs.17$ on its repair and $50$ paise on cartage. If he sold the chair at $Rs.100$ then his approximate margin of profit will be ?

A
$13.30$ %

B
$11.25$ %

C
$12.5$ %

D
$14.3$ %

Solution

$Profit ~\%=\dfrac{SP-CP}{CP}\times100$

$=\dfrac{100-87.5}{87.5}\times100$

$=14.3\%$
Question 6
1 / -0

15% of 10% of 20% of 1000 is

A
$1.50$

B
$67$

C
$150$

D
$3$

Solution

$15\%$ of $10\%$ of $20\%$ of $1000$

$\Rightarrow 15\%$ of $10\%\left[\dfrac{20}{100}\times 1000\right]$

$\Rightarrow 15\%$ of $10\%$ of $200$

$\Rightarrow 15\%\left[\dfrac{10}{100}\times 200\right]$

$\Rightarrow 15\%$ of $20$

$\Rightarrow \dfrac{15}{100}\times 20$

$\Rightarrow 3$

$\therefore\ 15\%$ of $10\%$ of $20\%$ of $1000=3$
Question 7
1 / -0

If Rs $2800$ is $\dfrac{2}{7}th$ of the value of a house, the worth of the house (in Rs ) is?

A
$8,00,000$

B
$9800$

C
$10,00,000$

D
$12,00,000$

Solution

let the worth of the house be $x$
Given that $\dfrac {2}{7}$ of value of house is $2800$
$\dfrac {2}{7}x=2800$
$x=2800\times \dfrac {7}{2}$
$=1400\times 7$
$Rs. 9800$
Worth of house $=Rs. 9800$
Question 8
1 / -0

Ram, Karan and Rohan invested capital in the ratio of $2 : 3 : 4$ for time period of $6 : 4 : 3$ . Find the ratio of profit distributed?

A
$12 : 13 : 14$

B
$13 : 12 : 14$

C
$1 : 1 : 1$

D
$14 : 12 : 13$

Solution

Profit depends on total amount invested.
amount invested by Ram = $2\times6 = 12k$
amount invested by Karan = $3\times 4 = 12k$
amount invested by Rohan = $4\times 3 = 12k$

As amount total invested is same in all three cases hence profit distributed will be same and is $1 : 1 : 1$
Question 9
1 / -0

Which of the following is the most beneficial customer?

A
A discount of 40%

B
Two successive discounts of 20% each

C
A discount followed by a 30% discount.

D
A discount followed by a 10% discount.

Solution

More the discount more it is beneficial Let $x$ be the cost price of article.
a) $2$ successive discount $\rightarrow \dfrac{20}{100}\times \left[\dfrac{20}{100}x\right]\rightarrow \left[\dfrac{x}{25}\right]$
b) $40\%$ at a time discount $\rightarrow \dfrac{40}{100}x\rightarrow \left[\dfrac{2x}{5}\right]\rightarrow \left[\dfrac{10x}{25}\right]$
$\therefore b \,discount >a\,discount$
Question 10
1 / -0

The owner of a toy shop charges his customer $33$ % more then the cost price. If the customer paid Rs. $4921$ for a toy, then what was the cost price of the toy?

A
Rs. $3850$

B
Rs. $3700$

C
Rs. $3550$

D
Rs. $3900$

Solution

Let cost price of the toy $=x$

Owner will change $=x+ \dfrac{33}{100} \times x$
$=494$

$4921=\dfrac{133}{100}x$

$x=\dfrac{4921 \times 100}{133}$

$x=3700\ Rs$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 58

Result

Comparing Quantities Test - 58

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SHARING IS CARING

Question 1

85%85\%85%

25%25\%25%

65%65\%65%

None of these

Solution

Question 2

5.72%5.72\%5.72%

3.72%3.72\%3.72%

8.92%8.92\%8.92%

4.17%4.17\%4.17%

Solution

Question 3

Rs.110110110

Rs.200200200

Rs.180180180

Rs.150150150

Solution

Question 4

5%5\%5%

6%6\%6%

4%4\%4%

3%3\%3%

Solution

Question 5

13.3013.3013.30%

11.2511.2511.25%

12.512.512.5%

14.314.314.3%

Solution

Question 6

1.501.501.50

676767

150150150

333

Solution

Question 7

8,00,0008,00,0008,00,000

980098009800

10,00,00010,00,00010,00,000

12,00,00012,00,00012,00,000

Solution

Question 8

12:13:1412 : 13 : 1412:13:14

13:12:1413 : 12 : 1413:12:14

1:1:11 : 1 : 11:1:1

14:12:1314 : 12 : 1314:12:13

Solution

Question 9

A discount of 40%

Two successive discounts of 20% each

A discount followed by a 30% discount.

A discount followed by a 10% discount.

Solution

Question 10

Rs. 385038503850

Rs. 370037003700

Rs. 355035503550

Rs. 390039003900

Solution

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$85\%$

$25\%$

$65\%$

$5.72\%$

$3.72\%$

$8.92\%$

$4.17\%$

Rs. $110$

Rs. $200$

Rs. $180$

Rs. $150$

$5\%$

$6\%$

$4\%$

$3\%$

$13.30$ %

$11.25$ %

$12.5$ %

$14.3$ %

$1.50$

$67$

$150$

$3$

$8,00,000$

$9800$

$10,00,000$

$12,00,000$

$12 : 13 : 14$

$13 : 12 : 14$

$1 : 1 : 1$

$14 : 12 : 13$

Rs. $3850$

Rs. $3700$

Rs. $3550$

Rs. $3900$