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

Score

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Rank

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SHARING IS CARING

Question 1

$$85\%$$

$$25\%$$

$$65\%$$

None of these

Solution

Question 2

$$5.72\%$$

$$3.72\%$$

$$8.92\%$$

$$4.17\%$$

Solution

Question 3

Rs.$$110$$

Rs.$$200$$

Rs.$$180$$

Rs.$$150$$

Solution

Question 4

$$5\%$$

$$6\%$$

$$4\%$$

$$3\%$$

Solution

Question 5

$$13.30$$%

$$11.25$$%

$$12.5$$%

$$14.3$$%

Solution

Question 6

$$1.50$$

$$67$$

$$150$$

$$3$$

Solution

Question 7

$$8,00,000$$

$$9800$$

$$10,00,000$$

$$12,00,000$$

Solution

Question 8

$$12 : 13 : 14$$

$$13 : 12 : 14$$

$$1 : 1 : 1$$

$$14 : 12 : 13$$

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. $$3850$$

Rs. $$3700$$

Rs. $$3550$$

Rs. $$3900$$

Solution

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