Comparing Quantities Test

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Comparing Quantities Test - 27

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Weekly Quiz Competition

Question 1
1 / -0

A hawker gains the selling price of $$4$$ gel pens on selling $$1$$ dozen pens. What is his gain percentage ?

A
$$40 \%$$

B
$$50 \%$$

C
$$55 \%$$

D
$$60 \%$$

Solution

S.P. of $$12$$ gel Pens-C.P. of $$12$$ gel pens= S.P. of $$4$$ gel pens
$$\Rightarrow $$ C.P. of 12 gel pens=S.p. of 8 gel pens
Let the S.P. of 1 gel pen = Rs. 1. then
C.P. of 12 gel pesn= Rs. 8
S.P. of 12 gel pesn= Rs. 12
$$\therefore $$ Gian= Rs. 12- Rs. 8= Rs. 4
Gain %=$$\left ( \dfrac {4}{8}\times 100 \right )$$ %=50%
Question 2
1 / -0

The cost of manufacturing an article is Rs. $$160$$. The manufacturer sells it to a dealer at a gain of $$45$$% and the dealer sells it to the customer for Rs. $$266.80$$. Find the dealer's percentage gain?

A
$$18$$%

B
$$9$$%

C
$$12$$%

D
$$15$$%

Solution

The cost of manufacturing an article is Rs. $$160$$. The manufacturer sells it to a dealer at a gain of $$45$$%

Then selling price =$$\dfrac{160\times 145}{100}=232$$Rs

Dealer sell it Rs $$266.80$$ to the customer

Profit =$$266.80-232=34.80$$ RS

% of profit =$$\dfrac{34.80\times 100}{232}=15$$%
Question 3
1 / -0

The ratio between the sale price and cost price of an article is $$7: 5$$. What is the ratio between the profit and the cost price of that article ?

A
$$2:7$$

B
$$5:2$$

C
$$7:2$$

D
$$2:5$$

Solution

The ratio between the sale price and cost price of an article is $$7x: 5x.$$
Then the profit becomes $$7x - 5x$$ which is $$2x$$.
So, the ratio between profit and cost price is $$2x : 5x $$ or $$2 : 5$$.
Question 4
1 / -0

A man bought $$200 $$ pencils for Rs. $$60$$. He found that $$10$$ $$\%$$ of them were broken and sold the rest at $$36$$ paise each. His profit per cent is.

A
$$10$$ $$\%$$

B
$$8$$ $$\%$$

C
$$6$$ $$\%$$

D
$$20$$ $$\%$$

Solution

C.P of $$200$$ Pencil Rs. $$60$$.
$$10\%$$ Pencil were broken, now Pencil left $$= 200 - 200 \times \dfrac{10}{100} = 180$$
SP of pencils $$= 180 \times 0.36 = 64.8$$
Profit $$=$$ SP $$-$$ CP
Profit $$= 64.8 - 60 = 4.8$$
Profit $$\%$$ $$ = \dfrac{4.8}{60} \times 100 = 8$$ $$\%$$
Question 5
1 / -0

A shopkeeper earns $$15$$% profit on a shirt even after allowing $$31$$% discount on the list price. If the list price is Rs. $$125$$, then what is the cost price of the shirt?

A
Rs. $$65$$

B
Rs. $$70$$

C
Rs. $$75$$

D
Rs. $$80$$

Solution

Discount on the shirt $$=31\%$$ of Rs. $$125$$
$$=$$ Rs. $$\dfrac {31}{100}\times 125$$
$$=$$ Rs. $$\dfrac {155}{4}$$
Therefore, S.P. of the shirt $$=125-\dfrac {155}{4}$$
$$=$$ Rs. $$\dfrac {345}{4}$$
Therefore, C.P. of the shirt $$=\dfrac {345}{4}\times \dfrac {100}{115}$$
$$=$$ Rs. $$75$$
Thus, the cost price of the shirt is Rs. $$75$$.
Question 6
1 / -0

A shopkeeper sells two T.V. sets at the same price. There is a gain of $$20\%$$ on one TV. and loss of $$20\%$$ on the other. State which of the following statements is correct

A
The shopkeeper neither gains nor loses

B
The shopkeeper loses by $$2\%$$

C
The shopkeeper gains by $$4\%$$

D
The shopkeeper loses by $$4\%$$

Solution

Let the S.P. of both the T.V sets be Rs. $$x$$.
Then, C.P. of the T.V set at a gain of $$20\%$$ $$=$$ Rs. $$ \dfrac {100\times x}{120}=$$ Rs. $$ \dfrac {5x}{6}$$
C.P. of the T.V set at a loss of $$20\%$$ $$=$$ Rs. $$ \dfrac {100\times x}{80}=$$ Rs. $$ \dfrac {5x}{4}$$
Total C.P. $$=$$ Rs. $$ \left (\dfrac {5x}{6}+\dfrac {5x}{4}\right )=$$ Rs. $$ \dfrac {10x+15x}{12}=$$ Rs. $$ \dfrac {25x}{12}$$
Total S.P. $$=$$ Rs. $$2x$$
Loss $$=$$ Rs. $$ \left (\dfrac {25x}{12}-2x\right )=$$Rs. $$ \dfrac {x}{12}$$

Loss $$\%$$ $$=\dfrac {\dfrac{x}{12}}{\dfrac{25x}{12}}\times 100=4$$ $$\%$$
Question 7
1 / -0

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

A
$$\dfrac {1}{3}$$ $$\%$$

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

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

D
$$25\dfrac {1}{2}$$ $$\%$$

Solution

Let C.P. $$= x$$
Then S.P. $$= \dfrac{4x}{3}$$
Gain $$= \left (\dfrac{4x}{3} - x\right) = \dfrac{x}{3}$$
$$\therefore$$ Gain $$\%$$ $$=\left (\dfrac{x}{3} \times \dfrac{1}{x} \times 100\right) = 33\dfrac{1}{3}$$ $$\%$$
Question 8
1 / -0

If a shopkeeper sells $$\dfrac {1}{3}$$rd of his goods at a profit of $$14\%$$, $$\dfrac {3}{5}$$th of the goods at a profit of $$17.5\%$$ and remaining at a profit of $$20\%$$, then his profit on the whole is equal to

A
$$15.5\%$$

B
$$16 \%$$

C
$$16.5\%$$

D
$$17\%$$

Solution

Let total cost of all goods be Rs. $$100$$.
He sold $$\dfrac{1}{3}$$ of his goods that is Rs. $$33.3$$ at a profit of $$14\%$$
Then profit $$ = 33.3 \times \dfrac{14}{100} =$$ Rs. $$4.662$$
Simillarly $$\dfrac{3}{5} = 60$$, Profit $$17.5\%$$
Then profit $$ = 60 \times \dfrac{17.5}{100} = 0.60 \times 17.5 = 10.5$$
Now $$ 100 - (33.3+60) = 100 - 93.3 =$$ Rs. $$6.7$$
Profit on Rs. $$6.7 = \dfrac{6.7 \times 20}{100} = 1.34$$
Total profit $$ = 4.662+10.5+1.34=$$ Rs. $$ 16.502 = 16.5\%$$
Question 9
1 / -0

A shopkeeper allows a discount of $$10 \%$$ on a watch whose marked price is Rs. $$3400$$ and in the process makes a gain of Rs. $$220$$. What is the cost price of the watch?

A
Rs. $$2340$$

B
Rs. $$2540$$

C
Rs. $$2840$$

D
Rs. $$2440$$

Solution

S.P. of the watch $$=\dfrac {3400\times (100-10)}{100}=$$ Rs. $$3060$$.
Gain $$=$$ Rs. $$220$$
Therefore, C.P. of the watch $$=$$ Rs. $$(3060-220)=2840$$.
Hence. option C is the correct answer.
Question 10
1 / -0

A refrigerator and a camera were sold for Rs. $$12,000$$ each. The refrigerator was sold at a loss of $$20\%$$ of the cost and the camera at a gain of $$20\%$$ of the cost. The entire transaction results in which one of the following?

A
No loss or gain

B
Loss of Rs. $$1,000$$

C
Gain of Rs. $$1000$$

D
Loss of Rs. $$2,000$$

Solution

C.P. of the camera $$= \dfrac { 100\times \text{S.P.} }{ 100+\text{profit} } $$

C.P. $$= \dfrac { 100\times 12000 }{ 100+20 } $$
CP $$= \dfrac { 100\times 12000 }{ 120 } = 10000$$

CP of the camera $$=$$ Rs. $$10000$$

CP of the refrigerator $$= \dfrac { 100\times \text{S.P.} }{ 100-\text{ loss} } $$
CP $$= \dfrac { 100\times 12000 }{ 100-20 } $$
CP $$= \dfrac { 100\times 12000 }{ 80 } = 15000$$

CP of the refrigerator $$=$$ Rs. $$15000$$

Total cost $$=$$ Rs. $$25000$$

Total SP $$=$$ Rs. $$24000$$

Hence, in the entire transaction, there has been a loss of Rs. $$1000.$$

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Comparing Quantities Test - 27

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Comparing Quantities Test - 27

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SHARING IS CARING

Question 1

$$40 \%$$

$$50 \%$$

$$55 \%$$

$$60 \%$$

Solution

Question 2

$$18$$%

$$9$$%

$$12$$%

$$15$$%

Solution

Question 3

$$2:7$$

$$5:2$$

$$7:2$$

$$2:5$$

Solution

Question 4

$$10$$ $$\%$$

$$8$$ $$\%$$

$$6$$ $$\%$$

$$20$$ $$\%$$

Solution

Question 5

Rs. $$65$$

Rs. $$70$$

Rs. $$75$$

Rs. $$80$$

Solution

Question 6

The shopkeeper neither gains nor loses

The shopkeeper loses by $$2\%$$

The shopkeeper gains by $$4\%$$

The shopkeeper loses by $$4\%$$

Solution

Question 7

$$\dfrac {1}{3}$$ $$\%$$

$$20\dfrac {1}{2}$$ $$\%$$

$$33\dfrac {1}{3}$$ $$\%$$

$$25\dfrac {1}{2}$$ $$\%$$

Solution

Question 8

$$15.5\%$$

$$16 \%$$

$$16.5\%$$

$$17\%$$

Solution

Question 9

Rs. $$2340$$

Rs. $$2540$$

Rs. $$2840$$

Rs. $$2440$$

Solution

Question 10

No loss or gain

Loss of Rs. $$1,000$$

Gain of Rs. $$1000$$

Loss of Rs. $$2,000$$

Solution

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