Comparing Quantities Test

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Comparing Quantities Test - 57

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Weekly Quiz Competition

Question 1
1 / -0

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in:

A
no loss, no gain

B
loss of Rs.$$\dfrac{1}{12}$$lakh

C
loss of Rs.$$\dfrac{1}{18}$$lakh

D
gain of Rs.$$\dfrac{1}{24}$$lakh
Question 2
1 / -0

Sanket purchased 20 dozen notebooks at Rs. 48 per dozen . He sold 8 dozen at 10 % profit and the remaining 12 dozen with 20% profit . What is his profit percentage in the transaction ?

A
7.68

B
15

C
16

D
19.2

Solution

C.P of 20 dozen notebooks $$ = 48\times 20 = 960 $$
C.P of 8 dozen notebooks $$ = 48\times 8 = 384 $$
C.P of 12 dozen notebooks $$ = 960-384 = 576 $$
Total S.P $$ = \dfrac{110}{100}\times 384\times \dfrac{120}{100}\times 576 $$
$$ = 1113.60 $$
Profit % $$ = (\dfrac{Profit}{CP}\times 100)\% $$
Profit % $$ = (\dfrac{153.60}{960}\times 100)\% $$
$$= 16\% $$
Question 3
1 / -0

4 Lemons were bought at Rs. 3. 5 Lemons were sold at Rs. 4 . What was the gain or loss per cent?

A
$$5.67\%$$

B
$$6.67\%$$

C
$$7.67\%$$

D
$$8.67\%$$

Solution

$$C.P$$ for $$1$$ Lemon = $$\dfrac{3}{4}\ Rs.$$
$$=0.75\ Rs.$$
$$S.P$$ for $$1$$ Lemon = $$\dfrac{4}{5}\ Rs.$$
$$=0.8 Rs$$
$$\therefore $$ profit $$\% = \dfrac{0.8-0.75}{0.75}\times 100$$
$$= \dfrac{0.05}{0.75}\times 100$$
$$\therefore $$ profit $$\% = \dfrac{1}{15}\times 100$$
$$\therefore $$ profit $$\% = 6.67 \%$$
Question 4
1 / -0

If Varun purchased a calculator for $$\text{Rs. }500$$ and sold it to his friend for $$\text{Rs. }560$$, then the gain percent is:

A
$$10\%$$

B
$$12\%$$

C
$$15\%$$

D
$$20\%$$

Solution

Cost price of calculator $$= \text{Rs. } 500$$
Selling price of calculator $$= \text{Rs. } 560$$
$$\text{Gain} =\text{S.P}-\text{C.P}$$
$$\Rightarrow \text{Gain} = 560 - 500 $$
$$\Rightarrow \text{Gain} = \text{Rs. } 60$$

$$\text{Gain}\% = \cfrac{\text{gain}}{\text{Cost price}} \times 100$$
$$\Rightarrow\text{Gain}\% = \cfrac{60}{500} \times 100 $$
$$\Rightarrow\text{Gain}\%= 12 \%$$

Hence, option $$B$$ is correct.
Question 5
1 / -0

$$12$$ Copies of book were sold for $$Rs. 1800$$ thereby gaining cost price of $$3$$ copies. The cost price of a copy of the book is

A
$$Rs. 120$$

B
$$Rs. 150$$

C
$$Rs. 1200$$

D
$$Rs. 1500$$

Solution

Let Cost price of $$1$$ book $$=x$$
Selling price of $$12$$ books $$=Rs.1800$$
Gain $$=3x$$
Selling price of $$12$$ book -Cost price of $$12$$ books = Gain
$$1800-12x=3x$$
$$1800=12x+3x$$
$$1800=15x$$
$$x=120$$
$$\therefore$$ Cost of $$1$$ book $$=Rs\ 120$$
Question 6
1 / -0

270 candidates appeared for an examination, of which 252 passed. The pass percentage is?

A
$$80 \%$$

B
$$83 \frac { 1 } { 2 } \%$$

C
$$90 \frac { 1 } { 3 } \%$$

D
$$93 \frac { 1 } { 3 } \%$$

Solution

Total candidates = 270
Passes candidates = 252
Passed percentage = $$\dfrac{252}{270} \times 100\%=\dfrac{27252}{270}\%=93\dfrac{1}{3}\%$$
Question 7
1 / -0

Amit purchased $$13$$ chair of $$Rs.\ 115$$ each and sold all at $$Rs.\ 1220$$. Then find the profit or Loss on the transaction

A
$$Rs.\ 280$$ loss

B
$$Rs.\ 275$$ loss

C
$$Rs.\ 325$$ profit

D
$$Rs.\ 350$$ profit

Solution

It Amit purchase $$13$$ chair of $$Rs\ 115$$ each
Total last $$\Rightarrow 13\times 115$$
$$\Rightarrow 1495$$
If he sold all at $$R\ 1220$$, then $$CP$$ is greater and $$SP$$ is smaller than, he incured loss
loss $$CP-SP$$
$$\Rightarrow 1495-1220\Rightarrow Rs\ 275$$ loss
Question 8
1 / -0

If $$11$$ Mango are bought for $$Rs.10$$ and sold at $$10$$ for $$Rs.11$$. What was Gain or Loss $$\%$$?

A
$$24\%$$

B
$$21\%$$

C
$$26\%$$

D
$$25\%$$

Solution
Question 9
1 / -0

If a banana's cost is $$Rs. 1.25$$ and apple's cost is $$Rs. 1.75$$ what will be the cost of $$2$$ Dozen of Banana and $$3$$ Dozen of apple?

A
$$Rs. 93$$

B
$$Rs. 83$$

C
$$Rs. 85$$

D
$$Rs. 70$$

Solution

$$\because$$ Cost of one banana $$=Rs.1.25$$
$$\therefore 2$$ dozens banana's cost $$=24\times 1.25=Rs.30$$

$$\because$$ One apple's cost $$=Rs.1.75$$
$$\therefore 3$$ dozens banana's cost $$=36\times 1.75=Rs.63$$

Total cost $$=63+30=Rs.93$$

Hence, option (A) is the correct option
Question 10
1 / -0

If the $$C.P.$$ of $$50$$ items is equal to $$S.P.$$ of $$40$$ items then what is the profit or loss $$\%$$?

A
$$20$$% Loss

B
$$15$$% Loss

C
$$25$$% Gain

D
$$35$$% Gain

Solution

Let the $$C.P. $$ of $$1$$ item $$=\text{Rs } 1$$
As per the question $$S.P. $$ of $$40$$ of items $$=\text{Rs }50$$
$$\implies S.P. $$ of $$1$$ item $$=\dfrac{50}{40}=\text{Rs }\dfrac{5}{4}$$
So, $$S.P.$$ of each item is more than the $$C.P.$$
Hence, Gain $$\%$$ is given as
$$Gain (\%)=\dfrac{S.P.-C.P.}{C.P}\times100$$
$$=\dfrac{\dfrac{5}{4}-1}{1}\times100$$
$$=\dfrac{1}{4}\times100$$
$$=25 \%$$
$$\therefore$$ Profit is $$25\%$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 57

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Comparing Quantities Test - 57

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SHARING IS CARING

Question 1

no loss, no gain

loss of Rs.$$\dfrac{1}{12}$$lakh

loss of Rs.$$\dfrac{1}{18}$$lakh

gain of Rs.$$\dfrac{1}{24}$$lakh

Question 2

7.68

15

16

19.2

Solution

Question 3

$$5.67\%$$

$$6.67\%$$

$$7.67\%$$

$$8.67\%$$

Solution

Question 4

$$10\%$$

$$12\%$$

$$15\%$$

$$20\%$$

Solution

Question 5

$$Rs. 120$$

$$Rs. 150$$

$$Rs. 1200$$

$$Rs. 1500$$

Solution

Question 6

$$80 \%$$

$$83 \frac { 1 } { 2 } \%$$

$$90 \frac { 1 } { 3 } \%$$

$$93 \frac { 1 } { 3 } \%$$

Solution

Question 7

$$Rs.\ 280$$ loss

$$Rs.\ 275$$ loss

$$Rs.\ 325$$ profit

$$Rs.\ 350$$ profit

Solution

Question 8

$$24\%$$

$$21\%$$

$$26\%$$

$$25\%$$

Solution

Question 9

$$Rs. 93$$

$$Rs. 83$$

$$Rs. 85$$

$$Rs. 70$$

Solution

Question 10

$$20$$% Loss

$$15$$% Loss

$$25$$% Gain

$$35$$% Gain

Solution

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