Comparing Quantities Test

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Comparing Quantities Test - 44

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Weekly Quiz Competition

Question 1
1 / -0

A shopkeeper sells some toys at $$\text{Rs. }250$$ each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is /are necessary?
P : No. of toys sold.
Q : Cost price of each toy.

A
Only P is necessary

B
Only Q is necessary

C
Both are necessary

D
None of the above.

Solution

S.P. $$=\text{Rs. }250$$ each.
To find gain percent, we must know the C.P. of each.
Hence Q is necessary
Question 2
1 / -0

A plot is sold for Rs.$$18,700$$ with a loss of $$15\%$$. At what price it should be sold to get profit of $$15\%$$?

A
$$25300Rs$$

B
$$54000Rs$$

C
$$25600Rs$$

D
$$25900Rs$$

Solution

Let at Rs. $$ x$$

It can earn $$15\%$$ profit

$$\Rightarrow 85:18700=115:x$$ [as, loss $$=100-15$$, profit $$=100+15$$]

$$\Rightarrow x=\dfrac{18700\times1}{85}$$

$$\Rightarrow x=$$ Rs. $$25300$$

So, the plot is sold of Rs. $$25300$$
Question 3
1 / -0

Sahil purchased a machine at Rs. $$10000$$, then got it repaired at Rs. $$5000$$ and gave its transportation charge Rs. $$1000$$. Then he sold it with $$50\%$$ of profit. At what price he actually sold it?

A
$$20000$$

B
$$22000$$

C
$$24000$$

D
$$26000$$

Solution

Sahil purchased a machine at $$Rs.\ 10000$$.

Its repairing cost is $$Rs.\ 5000$$ and transportation cost is $$Rs.\ 1000$$.

$$\therefore \ $$Total C.P.$$=10000+5000+1000=Rs.\ 16000$$

Given that, on selling the machine, Sahil gained a profit of $$50\%$$.

$$\therefore \ $$ S.P. $$=16000+ \dfrac{50}{100} \times 16000$$

$$=16000+8000$$

$$=Rs.\ 24000$$

Hence, Sahil sold the machine for $$Rs.\ 24000$$.
Question 4
1 / -0

A man mixes two types of rice (X and Y) and sells the mixture at the rate of $$\text{Rs }17$$ per $$\text{kg}$$. Find his profit percentage.
P : Rate of X is $$\text{Rs }20$$ per kg
Q : Rate of Y is $$\text{Rs }13$$ per kg

A
Only P is sufficient to answer

B
Only Q is sufficient to answer

C
Both are sufficient to answer

D
None of them are sufficient to answer

Solution

The selling price of the mixture $$= \text{ Rs } 17/ \text{ kg}$$
The ratio, in which X and Y are mixed, is not given.
So both I and II together cannot give the answer
Question 5
1 / -0

Identify the two statements by which the principal sum can be calculated?
P : The sum amounts to Rs. $$690$$ in $$3$$ yrs at Simple Interest.
Q : The sum amounts to Rs. $$750$$ in $$5$$ yrs at Simple interest.
R : The rate of interest is $$5\%$$ per annum.

A
P & Q will give the answer

B
R & Q will give the answer

C
P & R will give the answer

D
Any two will give the answer

Solution

Any two of three will give the answer because if amount, rate and number of years are given, we can easily find out the principal sum.
Question 6
1 / -0

A man buys an article for Rs. $$27.50$$ and sells it for Rs. $$28.60$$. Find his gain percent

A
$$1\%$$

B
$$2\%$$

C
$$3\%$$

D
$$4\%$$

Solution

We have C.P $$=$$ Rs. $$27.50$$, S.P $$=$$ Rs. $$28.60$$
Gain $$=$$ S.P. $$-$$ C.P.
$$=28.60-27.50$$
$$=$$ Rs. $$1.10$$
Therefore, gain $$\%=\dfrac{1.10}{27.50}\times100=4\%$$
Question 7
1 / -0

If the selling price is doubled, the profit triples. Find the profit percent

A
$$50\%$$

B
$$60\%$$

C
$$120\%$$

D
$$100\%$$

Solution

$$\textbf{Step-1: Assume cost price and selling price to be equal to some variables}$$
$$\textbf{& then apply all information's given.}$$

$$\text{Let C.P. be Rs. x and S.P be Rs. y.}$$
$$\text{Then,}$$ $$3\begin{pmatrix}y-x\end{pmatrix}=\begin{pmatrix}2y-x\end{pmatrix}\Rightarrow\;y=2x$$
$$\text{Profit}$$ $$=Rs.\begin{pmatrix}y-x\end{pmatrix}=Rs.\begin{pmatrix}2x-x\end{pmatrix}=Rs.x$$.
$$\text{Profit}$$ $$\%=\dfrac{x}{x} \times 100$$$$=100$$ $$\text{%}$$
$$\textbf{Hence, correct option is D}$$
Question 8
1 / -0

Alfred buys an old scooter for $$Rs.4700$$ and spends $$Rs.800$$ on its repairs. If he sells the scooter for $$Rs.5800$$, his gain percent is

A
$$10\%$$

B
$$12\%$$

C
$$\dfrac{60}{11}$$%

D
$$\dfrac{45}{11}$$%

Solution

Cost price (C.P) $$=Rs.\begin{pmatrix}4700+800\end{pmatrix}=Rs.5500$$.
Selling price (S.P) $$=Rs.5800$$.
Gain $$=(S.P)-(C.P)=Rs.\begin{pmatrix}5800-5500\end{pmatrix}=Rs.300$$.
Gain $$\%=\dfrac{300}{5500} \times100\%=\dfrac{60}{11}$$%
Question 9
1 / -0

In a ratio $$3:4$$, if the antecedent is $$12$$, then the consequent is

A
$$9$$

B
$$16$$

C
$$20$$

D
$$24$$

Solution

$$\dfrac{3}{4}=\dfrac{12}{x}\;$$
$$\Rightarrow\;3x=48$$
$$x=16$$
Question 10
1 / -0

A trader mixes $$26\ kg$$ of rice at $$Rs.\ 20$$ per kg with $$30$$ of rice of other variety at Rs. $$36$$ per kg and sells the mixture at $$Rs.\ 30$$ per kg. His profit percent is

A
$$8\%$$

B
$$5\%$$

C
$$10\%$$

D
No profit no loss

Solution

Total $$CP$$ of $$56$$ kg rice $$=26\times20+30\times36$$
$$=520+1080$$
$$=Rs.\ 1600$$

Total $$SP$$ of $$56$$ kg rice $$=56\times30$$
$$=Rs.\ 1680$$

$$\text{Profit }\%=\dfrac{1680-1600}{1600} \times 100$$

$$=\dfrac{80}{1600} \times 100$$

$$=5\%$$

Therefore, option $$B$$ is correct.

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 44

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Comparing Quantities Test - 44

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SHARING IS CARING

Question 1

Only P is necessary

Only Q is necessary

Both are necessary

None of the above.

Solution

Question 2

$$25300Rs$$

$$54000Rs$$

$$25600Rs$$

$$25900Rs$$

Solution

Question 3

$$20000$$

$$22000$$

$$24000$$

$$26000$$

Solution

Question 4

Only P is sufficient to answer

Only Q is sufficient to answer

Both are sufficient to answer

None of them are sufficient to answer

Solution

Question 5

P & Q will give the answer

R & Q will give the answer

P & R will give the answer

Any two will give the answer

Solution

Question 6

$$1\%$$

$$2\%$$

$$3\%$$

$$4\%$$

Solution

Question 7

$$50\%$$

$$60\%$$

$$120\%$$

$$100\%$$

Solution

Question 8

$$10\%$$

$$12\%$$

$$\dfrac{60}{11}$$%

$$\dfrac{45}{11}$$%

Solution

Question 9

$$9$$

$$16$$

$$20$$

$$24$$

Solution

Question 10

$$8\%$$

$$5\%$$

$$10\%$$

No profit no loss

Solution

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