Comparing Quantities Test

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Comparing Quantities Test - 38

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Weekly Quiz Competition

Question 1
1 / -0

A man had $$\text{Rs. } 2,000$$. He lent a part of this at $$5\%$$ interest and the rest at $$4\%$$ interest. The total interest he received in one year was $$\text{Rs. } 92$$. The money he lent at $$5\%$$ interest was

A
$$\text{Rs. } 1,200$$

B
$$\text{Rs. } 1,250$$

C
$$\text{Rs. } 1,300$$

D
$$\text{Rs. } 1,350$$

Solution

Let the money lent at the rate of $$5\%$$ be $$x.$$ So, the money lent at $$4\%$$ will be $$2000-x.$$

It is given that the total interest obtained in $$1$$ year is $$\text{Rs. } 92.$$ So,
$$\begin{aligned}{}\frac{{x \times 5 \times 1}}{{100}} + \frac{{\left( {2000 - x} \right) \times 4 \times 1}}{{100}} &= 92\\5x + 4\left( {2000 - x} \right) &= 9200\\5x + 8000 - 4x& = 9200\\x &=\text{Rs. } 1200\end{aligned}$$

Hence, the money lent at $$5\%$$ rate is $$\text{Rs. } 1200.$$
Question 2
1 / -0

If the cost price of $$6$$ articles is equal to the selling price of $$4$$ articles, then the gain percent is

A
$$35\%$$

B
$$45\%$$

C
$$40\%$$

D
$$50\%$$

Solution

Let the cost price of $$1$$ article be $$\text{Rs }100$$
cost of $$4$$ article will be $$\text{Rs }400$$
Cost of $$6$$ articles will be $$\text{Rs }600$$
As said in the question cost of $$6$$ articles is same as the selling of $$4$$ articles
so,selling price of $$4$$ article is$$=\text{Rs }600$$
cost price is $$\text{Rs }400$$
Profit$$=(600-400)=\text{Rs }200$$
Gain percentage$$=\dfrac { 200 }{ 400 } \times 100=50 \% $$
$$50\% $$ is the gain percant
Question 3
1 / -0

An article marked at Rs 135 is sold for Rs 18.80. Then the rate of discount offered is

A
10%

B
86%

C
14%

D
16%

Solution

Given that, an article marked at Rs 135 is sold for Rs 18.80.

Now, $$=135-18.80=116.2$$

Discount in percent$$=\dfrac{116.2}{135}\times 100=86.04$$ percent

Hence, this is the answer.
Question 4
1 / -0

Ramu marked his bicycle at 800. He sold it without offering any discount. The price at which he bought it was 500. Find his profit percentage.

A
60

B
80

C
50

D
30

Solution

Profit % $$ = \frac {SP-CP}{CP} \times 100 = \frac {800-500}{500} \times 100 = 60 $$ %
Question 5
1 / -0

Arjun wants to invest $$Rs. 15,000$$ in two types of bonds. He earns $$12\%$$ in the first type and $$15\%$$ in the second. His investment in $$15\%$$ bond, if he has a total earning of $$Rs. 1,950$$, is

A
$$Rs. 10,000$$

B
$$Rs. 5,000$$

C
$$Rs. 6,000$$

D
$$Rs. 7,000$$

Solution

Let Arjun's investment in $$12\%$$ bond be $$x$$ and in $$15\%$$ bond be $$(15000-x)$$
total earnings is $$1950$$
earning in $$12\%$$ bond is $$=\dfrac { 12 }{ 100 } \times x$$

earning in $$15\%$$ bond is $$=\dfrac { 15 }{ 100 } \times \left( 15000-x \right) $$

As per problem,total earning$$=1950$$

$$\Rightarrow \left( \dfrac { 12 }{ 100 } \times x \right) +\dfrac { 15 }{ 100 } \times \left( 15000-x \right) =1950$$

$$\Rightarrow \dfrac { 12x }{ 100 } +\dfrac { 225000-15x }{ 100 } =1950$$

$$\Rightarrow \dfrac { 12x+225000-15x }{ 100 } =1950$$

$$\Rightarrow -3x+225000=195000$$
$$\Rightarrow -3x=-30000$$
$$\Rightarrow x=10000$$
Therefore his investment in $$15\%$$ bond is $$(15000-10000)=Rs5000$$
Question 6
1 / -0

Ram had Rs 2 lakh part of which he lent at 15% p.a. and rest at 12% p.a. Yearly interest on both the parts was Rs 27,600 How much did he lend at 15%?

A
Rs 1,20,000

B
Rs 1,00,000

C
Rs 80,000

D
Rs 60,000

Solution

Given 200000 Rs lend @ 15% and 12% recd Rs 27600
So average rate of interest
$$\frac{27600}{200000}\times 100=13.8$$ %
Let x and y amount lent @ 15% and 12%
We have x:y =(13.8-12):(15-13.8)=2:3
So money lend at @ 15% =$$\frac{3}{5}\times 200000=120000$$ Rs
Question 7
1 / -0

A person purchased 10 dozen pens at the rate of Rs 4 per dozen. On checking, he found that 10 pens were not working. In order to earn 25% he should sell the remaining pens, each at

A
40 paise

B
44 paise

C
50 paise

D
none of these
Question 8
1 / -0

Four dealers advertise the same list price for a TV set. Which one of the following discount series is more advantageous to the customer?

A
25% and 8%

B
22% and 8%

C
25% and 9%

D
25% and 10%
Question 9
1 / -0

Which discount series is profitable to the buyer 25%,12%,3%, or 18%, 1.7%,5%?

A
First

B
Second

C
Both

D
Neither

Solution

Given that, series is profitable $$25$$%,$$12$$%,$$3$$%, or $$18$$%, $$1.7$$%,$$5$$%.

Now,series $$25$$%,$$12$$%,$$3$$% is profitable in compare to series $$18$$%, $$1.7$$%,$$5$$%.

Because $$25$$ percent is greater than $$18$$ percent

And 12 percent is greater than 1.7 percent

Hence this is the answer.
Question 10
1 / -0

An article can be sold for 20000 cash or for 12000 down payment and 4 equal monthly instalments of 2200 each. Find the interest paid.

A
400

B
600

C
800

D
1000

Solution

With the downpayment option, total amount paid for article $$ = Rs 12000 + 4(2200) = Rs 20800 $$

But actually SP of article $$ = Rs 20000 $$

So, interest paid $$ = Rs 20800 - 20000 = Rs 800 $$

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Comparing Quantities Test - 38

Result

Comparing Quantities Test - 38

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Question 1

$$\text{Rs. } 1,200$$

$$\text{Rs. } 1,250$$

$$\text{Rs. } 1,300$$

$$\text{Rs. } 1,350$$

Solution

Question 2

$$35\%$$

$$45\%$$

$$40\%$$

$$50\%$$

Solution

Question 3

10%

86%

14%

16%

Solution

Question 4

60

80

50

30

Solution

Question 5

$$Rs. 10,000$$

$$Rs. 5,000$$

$$Rs. 6,000$$

$$Rs. 7,000$$

Solution

Question 6

Rs 1,20,000

Rs 1,00,000

Rs 80,000

Rs 60,000

Solution

Question 7

40 paise

44 paise

50 paise

none of these

Question 8

25% and 8%

22% and 8%

25% and 9%

25% and 10%

Question 9

First

Second

Both

Neither

Solution

Question 10

400

600

800

1000

Solution

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