Comparing Quantities Test

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Comparing Quantities Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

By selling a T.V for Rs.$$1,064$$ a man gains $$12$$%. At what price did he buy the T.V?

A
Rs.$$1000$$

B
Rs.$$950$$

C
Rs.$$850$$

D
Rs.$$900$$

Solution

Let $$CP=x$$
Gain $$=\cfrac{12}{100}x=\cfrac{3x}{25}$$
SP$$=\cfrac{3x}{25}+x=\cfrac{28x}{25}$$
$$\Rightarrow$$ $$\cfrac{28x}{25}+x=\cfrac{28x}{25}$$
$$\Rightarrow$$ $$\cfrac{28x}{25}=1,064$$
$$\Rightarrow$$ $$x=$$ Rs.$$950$$
Question 2
1 / -0

By giving a discount of 10% on the marked price of Rs 1,100 of a sewing machine a dealer gains 10%, then the cost price is

A
Rs 900

B
Rs 950

C
Rs 1,000

D
Rs 1,050

Solution

Market price $$= 1100$$
Discount of $$10\%$$ is given on marked price,
So selling price will be$$=1100-1100\times \dfrac { 10 }{ 100 } $$
$$=\left( 1100-110 \right)$$
$$ =990$$
Even after giving discount of $$10\%$$, dealer gains $$10\%$$ on cost price,
If selling price is $$110$$, cost price will be $$100$$
If selling price is $$990$$, cost price will be$$=\dfrac { 100 }{ 110 } \times 990$$
$$=900$$
Cost price is $$Rs 900$$
Question 3
1 / -0

If the cost price of 18 chairs is equal to selling price of 16 chairs, then the gain percent is

A
12.5%

B
13%

C
13.5%

D
14%

Solution

Let the cost price of $$1$$ chair be Rs $$100$$
cost price of $$16$$ chairs will be Rs $$1600$$
Cost price of $$18$$ chair will be Rs $$1800$$
Given that cost price of $$18$$ chairs will be equal to selling price of $$16$$ chairs
Gain on $$16$$ chairs will be $$(1800-1600)=Rs200$$
Gain Percent$$=\dfrac { Gain }{ Cost\quad Price } \times 100$$
$$=\dfrac { 200 }{ 1600 } \times 100$$
$$=12.5\%$$
Gain percant will be $$12.5\%$$
Question 4
1 / -0

Which of the following statement is incorrect

A
If S.P is less than C.P, the seller is said to have incurred a loss

B
The price at which an article is sold is called its selling price

C
If C.P is less than S.P, the seller is said to have incurred a profit

D
If C.P is less than S.P, the seller is said to have incurred a loss

Solution

$$\textbf{Step 1: Check which of the following statements is correct.}$$

$$\text{As we know that, }$$
$$\text{If cost price(C.P) is greater than the selling price(S.P), then seller incurred a loss,}$$
$$\text{and If cost price(C.P) is less than the selling price(S.P), then seller incurred a profit.}$$

$$\text{Therefore, Statements A,C are correct and D is incorrect.}$$

$$\textbf{Hence, option D is correct answer.}$$
Question 5
1 / -0

A machine listed at Rs. $$8400$$ is available for Rs. $$6300$$. Find the rate of discount offered.

A
$$20\%$$

B
$$10\%$$

C
$$25\%$$

D
$$30\%$$

Solution

Listed price of machine $$= 8400$$, available price of machine $$= 6300$$
Discount offered $$=$$ $$8400-6300=$$ Rs. $$2100$$
Discount $$\%=\dfrac{2100}{8400} \times100\%=25\%$$
Question 6
1 / -0

John estimated that the repairs to his car would cost $$200$$ rupees. In fact they cost $$350$$ rupees. What was the percentage error?

A
$$52.85\%$$

B
$$42.85\%$$

C
$$32.85\%$$

D
$$22.85\%$$

Solution

Given that: Expected repair of car= $$200$$
Actual cost of repair = $$ 350$$
Percentage of error: $$\dfrac{Absolute \ value - exact \ value}{Exact \ value} \times 100$$
$$= \dfrac{350 - 200}{350} \times{100}$$
$$= 42.85 $$ %
Question 7
1 / -0

You expected to get $$50$$ gifts for your birthday, but you only got $$32$$. What was the percentage error?

A
$$51.25\%$$

B
$$45.25\%$$

C
$$46.25\%$$

D
$$56.25\%$$

Solution

Given, absolute value $$=50$$, exact value $$=32$$
Percentage error $$=$$ $$\left | \dfrac{Absolute \space\ value - exact \space\ value}{exact\space\ value} \right |\times 100$$ $$\%$$
$$=$$ $$\left | \dfrac{50 - 32}{32} \right |\times 100$$ $$\%$$
$$=$$ $$\left | \dfrac{ 18}{32} \right |\times 100$$ $$\%$$
$$=$$ $$\left | 0.5625\right |\times 100$$ $$\%$$
$$= 56.25\%$$
Question 8
1 / -0

The price at which an article is purchased is called its

A
SP

B
CP

C
Gain

D
Loss

Solution

The price/cost at which an article is purchased is called its Cost Price, or CP.
Hence, option B is correct.
Question 9
1 / -0

Cost of $$5$$ pens is Rs. $$15$$. Find the cost price of $$100$$ pens.

A
Rs. $$150$$

B
Rs. $$30$$

C
Rs. $$100$$

D
Rs. $$300$$

Solution

Cost of $$5$$ pens $$=Rs. 15$$
Cost of $$1$$ pen $$=Rs. \dfrac{15}{5}=Rs. 3$$
Cost of $$100$$ pens $$=Rs, \begin{bmatrix}3\times100\end{bmatrix}=Rs. 300$$
Question 10
1 / -0

Sam purchased $$20$$ dozens of toys at the rate of $$Rs. 375$$ per dozen. He sold each one of them at the rate of $$Rs. 33$$. What was his percentage profit?

A
$$3.5$$

B
$$4.5$$

C
$$5.6$$

D
$$6.5$$

Solution

Cost Price of $$1$$ toy $$= Rs. \left (\dfrac {375}{12}\right ) = Rs. 31.25$$
Selling Price of $$1\ toy = Rs. 33$$
So, $$Gain = Rs. (33 - 31.25) = Rs. 1.75$$
$$\therefore Profit$$% $$= \left (\dfrac {1.75}{31.25} \times 100\right )$$% $$= \dfrac {28}{5}$$% $$= 5.6$$%

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 18

Result

Comparing Quantities Test - 18

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SHARING IS CARING

Question 1

Rs.$$1000$$

Rs.$$950$$

Rs.$$850$$

Rs.$$900$$

Solution

Question 2

Rs 900

Rs 950

Rs 1,000

Rs 1,050

Solution

Question 3

12.5%

13%

13.5%

14%

Solution

Question 4

If S.P is less than C.P, the seller is said to have incurred a loss

The price at which an article is sold is called its selling price

If C.P is less than S.P, the seller is said to have incurred a profit

If C.P is less than S.P, the seller is said to have incurred a loss

Solution

Question 5

$$20\%$$

$$10\%$$

$$25\%$$

$$30\%$$

Solution

Question 6

$$52.85\%$$

$$42.85\%$$

$$32.85\%$$

$$22.85\%$$

Solution

Question 7

$$51.25\%$$

$$45.25\%$$

$$46.25\%$$

$$56.25\%$$

Solution

Question 8

SP

CP

Gain

Loss

Solution

Question 9

Rs. $$150$$

Rs. $$30$$

Rs. $$100$$

Rs. $$300$$

Solution

Question 10

$$3.5$$

$$4.5$$

$$5.6$$

$$6.5$$

Solution

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