Comparing Quantities Test

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Comparing Quantities Test - 54

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Weekly Quiz Competition

Question 1
1 / -0

The discount is always on the _________.

A
Marked Price

B
Cost Price

C
Selling Price

D
Interest

Solution

The discount is always on the Market price.
Question 2
1 / -0

The value of a machine depreciates every year by $$5\%$$. If the present value of the machine be Rs. $$100,000$$, what will be its value after two years?

A
Rs. $$100,050$$

B
Rs. $$90, 250$$

C
Rs. $$99,250$$

D
Rs. $$99,000$$

Solution

current value of Machine $$=Rs. 100,00$$

After 1 year
value decreased by $$5 \%$$

value of Machine is
$$ Rs. 95 \% $$ $$of$$ $$100,000 $$

$$\Rightarrow \dfrac{95}{100} \times 100,000 = Rs. 95,000$$

After 2 years

again the value is decreased by $$5 \%$$ from previous year' s Value

Now value of Machine is
$$= 95 \% $$ $$of$$ $$95,000$$

$$= \dfrac{95}{100} \times 95,000$$

$$=0.95\times 95,000 $$

$$ = Rs. 90,250$$ is the value of machine at the of two years

Question 3

1 / -0

Directions For Questions

Study the following table carefully to answer the question that follow.
Number of Items Produced (P) and Sold (S) (in thousands) by five different Companies over the years

Year	Companies
	A		B		C		D		E
	P	S	P	S	P	S	P	S	P	S
2010	12.5	11	9	6.1	7.5	4.4	16.5	12.3	15.8	13
2011	15	11	11	9.7	15	9.6	13.5	10.5	14	11.1
2012	10.2	8	13	10.4	18	13.9	12	9	14.2	12.2
2013	9	7.5	14	9	10.4	7	10.7	8	13.6	11.4
2014	14	11.3	15.5	12.1	12	11	9.9	5.4	10.6	7
2015	13.4	10	16	13	17	13.2	11.2	8.2	9.8	5
2016	16	14	16.2	14	10	6.1	11	10	8.9	4.9

...view full instructions

The number of items sold by Company C in the year 2011 is $$9.6$$, what percent of the number of items produced by it in that year?

$$56$$

$$64$$

$$72$$

$$79$$

Solution

Required percentage
$$=\cfrac { \text{Items sold by C in 2011} }{ \text{Items produced by C in 2011}} \times 100$$
$$=\cfrac { 9.6 }{ 15 } \times 100=64$$%

Question 4
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A particular sum was divided among A, B and C in the ratio $$2:6:7$$ respectively. If the amount received by A was Rs. $$4,908$$, what was the difference between the amounts received by B and C?

A
Rs. $$2,454$$

B
Rs. $$3,494$$

C
Rs. $$2,135$$

D
Rs. $$2481$$

E
None of these$$

Solution

Amount received by A$$=$$ Rs. $$4908$$
Amount received by B$$=\displaystyle\frac{4908}{2}\times 6=$$Rs.$$14724$$
Amount received by C$$=\displaystyle\frac{4908}{2}\times 7=$$Rs. $$17178$$
Required difference $$=17178-14724$$
$$=$$Rs. $$2454$$.
Question 5
1 / -0

Direct tax is:

A
service tax

B
entertainment tax

C
revenue stamp duty

D
property tax

Solution

A direct tax is paid directly by an individual or organization to an imposing entity. A taxpayer, for example, pays direct taxes to the government for different purposes, including real property tax, personal property tax, income tax or taxes on assets so we can say direct tax is property tax.
Question 6
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Aarati bought 10 dresses at Rs 6300. She paid Rs 200 extra as expenses. If she sold all the dresses at the cost of Rs 780 per dress, how much percentage profit or loss does she make?

A
20% profit

B
20% loss

C
40% profit

D
30% profit

Solution

Cost price of $$10$$ dresses is $$Rs.\ 6300$$ and expanses is $$Rs.\ 200$$.

So, cost price after expanses$$=Rs.\ (6300+200)=Rs.\ 6500$$

Also, selling price of $$1$$ dress is $$Rs.\ 780$$.

Hence, selling prince $$10$$ dresses$$=10\times 780=Rs.\ 7800$$

Now, $$SP>CP$$, so their will be net profit.

So, profit percent is,

$$Profit(\%)=\dfrac{7800-6500}{6500}\times 100=\dfrac{1300}{65}=20\%$$
Question 7
1 / -0

Sugar is bought at Rs. $$16.20$$ per kg and sold at Rs. $$17.28$$ per kg. The gain percent is ____________.

A
$$\displaystyle 6\frac{2}{3}\%$$

B
$$\displaystyle 3\frac{1}{3}\%$$

C
$$10\%$$

D
$$\displaystyle 10\frac{2}{3}\%$$

Solution

Cost Price (CP) of 1 kg of sugar $$= 16.20$$ Rs

Selling Price (SP) of 1 kg of sugar $$=17.28$$ Rs

$$Gain = SP-CP=17.28-16.20=1.08\ Rs$$

$$Gain\ Percent=\dfrac{Gain\times100}{CP}=\dfrac{1.08\times100}{16.20}=\dfrac{20}{3}=6\dfrac{2}{3}\%$$
Question 8
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The compound interest on Rs. $$100000$$ at $$20\%$$ per annum for $$2$$ years $$3$$ months, compound annually is ________.

A
Rs. $$151200$$

B
Rs. $$100000$$

C
Rs. $$51200$$

D
Rs. $$251200$$

Solution

Given, $$P=100000$$, $$r=0.2$$, $$n=2+\dfrac{1}{4}$$ (converting $$2$$ years $$3$$ months to years) $$=n=2.25$$
Interest is compounded anually,
For first year $$=100000\times 0.2\times 1=20000$$
For second year $$P_{new }= 120000$$
Interest $$=120000\times 0 .2\times 1=24000$$
For last $$0.02544$$ year, $$p_{new}=144000$$
Interest $$ = 144000\times 0.2\times 0.25=7200$$
New amount $$=144000+7200 = 151200$$
$$\text{Interest} = 151200+100000=51200$$
Question 9
1 / -0

Bhajan Singh purchased $$120$$ reams of paper at Rs. $$80$$ per ream. He spent Rs. $$280$$ on transportation, paid octroi at the rate of $$40$$ paise per ream and paid Rs. $$72$$ to the coolie. If he wants to have a gain of $$8\%$$, what must be the selling price per ream?

A
Rs. $$86$$

B
Rs. $$87.48$$

C
Rs. $$89$$

D
Rs. $$90$$

Solution

Total money he spent $$=(120\times 80)+(280+0.4)\times (120+72)$$
$$=10000$$
Let the selling price of paper per ream is $$x$$ then total $$S.P.=120x$$

If he wants to have a gain of $$8\% $$.

Then by using the formula $$P\%=\dfrac{S.P.-C.P.}{C.P.}\times100$$

$$8=\dfrac{120x-10000}{10000}\times100$$

$$\Rightarrow 120x=1.08\times 10000$$

$$\Rightarrow x=90$$

Therefore, selling price per ream is Rs. $$90$$.
Question 10
1 / -0

After allowing a discount of $$25\%$$ on the marked price of a shirt, it is sold for Rs. $$240$$. Find the marked price of the shirt.

A
Rs. $$115$$

B
Rs. $$320$$

C
Rs. $$240$$

D
Rs. $$50$$

Solution

Let marked price be $$x$$
Selling price $$=$$ Rs $$240$$
Discount allowed on the shirt $$= 25\%$$

$$\Rightarrow x - \dfrac{25 x}{100} = 240$$

$$\Rightarrow \dfrac{75x}{100} = 240$$

$$\Rightarrow x =$$ Rs. $$320$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 54

Result

Comparing Quantities Test - 54

Score

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Rank

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SHARING IS CARING

Question 1

Marked Price

Cost Price

Selling Price

Interest

Solution

Question 2

Rs. $$100,050$$

Rs. $$90, 250$$

Rs. $$99,250$$

Rs. $$99,000$$

Solution

Question 3

$$56$$

$$64$$

$$72$$

$$79$$

Solution

Question 4

Rs. $$2,454$$

Rs. $$3,494$$

Rs. $$2,135$$

Rs. $$2481$$

None of these$$

Solution

Question 5

service tax

entertainment tax

revenue stamp duty

property tax

Solution

Question 6

20% profit

20% loss

40% profit

30% profit

Solution

Question 7

$$\displaystyle 6\frac{2}{3}\%$$

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

$$10\%$$

$$\displaystyle 10\frac{2}{3}\%$$

Solution

Question 8

Rs. $$151200$$

Rs. $$100000$$

Rs. $$51200$$

Rs. $$251200$$

Solution

Question 9

Rs. $$86$$

Rs. $$87.48$$

Rs. $$89$$

Rs. $$90$$

Solution

Question 10

Rs. $$115$$

Rs. $$320$$

Rs. $$240$$

Rs. $$50$$

Solution

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