Comparing Quantities Test

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Comparing Quantities Test - 30

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Weekly Quiz Competition

Question 1
1 / -0

A house wife paid Rs. $$\ 1260$$ for a handbag after $$37 \%$$ discount. The original price of the handbag was

A
Rs. $$\ 1500$$

B
Rs. $$\ 1850$$

C
Rs. $$\ 2000$$

D
Rs. $$\ 1760$$

Solution

Let $$P$$ be the original price.
Then according to question, we have
$$1260=P-37\%$$ of $$P$$
$$\Rightarrow 1260=\dfrac{63P}{100}$$
$$\Rightarrow P=1260\times\dfrac{100}{63}$$
$$\Rightarrow P=2000$$
Thus, original price of the handbag is Rs. $$2000$$.
Question 2
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 3
1 / -0

Ram mixes $$15$$ kg of sugar purchased with the rate, off Rs. $$8.00$$ per kg with $$25$$ kg of sugar purchased at the rate of Rs. $$10.00$$ per kg. At what rate per kg should Ram sell the mixture to get a profit of $$3$$ per kg?

A
Rs. $$12.25$$

B
Rs. $$15.75$$

C
Rs. $$18.18$$

D
Rs. $$19.75$$

Solution

C.P. of $$40$$ kg of sugar $$=$$ Rs. $$ (15 \times 8 + 25\times 10) =$$ Rs. $$ 120 + $$ Rs. $$ 250 =$$ Rs. $$ 370$$
$$\therefore$$ C.P. of $$1$$ kg of sugar $$=$$ Rs. $$ \dfrac {370}{40}=$$ Rs. $$ 9.25$$
$$\therefore$$ S.P. of $$1$$ kg of sugar $$=$$ Rs. $$ 9.25+$$ Rs. $$ 3=$$ Rs. $$ 12.25$$
Question 4
1 / -0

The cost price of an article is $$64\%$$ of the marked price. Calculate the gain per cent after allowing a discount of $$12\%$$.

A
$$52\%$$

B
$$48\%$$

C
$$50.5\%$$

D
$$37.5\%$$

Solution

Let the marked price be Rs. $$100$$.
Then, C.P. $$=$$ Rs. $$64$$
and S.P. is $$=$$ Rs. $$88$$.
Therefore, gain $$\%$$ $$=\dfrac {24}{64}\times 100=37.5\%$$
Question 5
1 / -0

A shopkeeper sold a TV set for Rs. $$17940$$ (price inclusive of a discount of $$ 8 \%$$) and gained $$19.6 \%$$. If no discount is allowed, then what will be his gain per cent ?

A
$$25 \%$$

B
$$26.4 \%$$

C
$$24.8 \%$$

D
$$30 \%$$

Solution

Given that discount on M.P. is $$8\%$$.
Means if M.P. is $$100$$, then S.P. is $$92$$.
Then if S.P. is Rs. $$17940$$, then M.P. is $$\dfrac {17940}{92}\times 100=19500$$.
If S.P. is $$17940$$ and profit is $$19.6$$
Means if C.P. is $$100$$, then S.P. is $$119.6$$.
So, when S.P. is $$17940$$, then C.P. $$=\dfrac {17940}{119.6}\times 100=15000$$.
If no discount was given, then C.P. $$=15000$$ and S.P. $$=19500$$.
Profit $$=19500-15000=4500$$
$$\%$$ profit $$=\dfrac {4500}{15000}\times 100=30\%$$
Question 6
1 / -0

The cost of a shirt after $$15 \%$$ discount is Rs. $$\ 102$$. What is the cost of the shirt before discount?

A
Rs. $$ \ 115$$

B
Rs. $$ \ 117$$

C
Rs. $$ \ 120$$

D
Rs. $$\ 125$$

Solution

Let CP of the shirt be Rs. $$x$$
Then after discount the price will be Rs. $$0.85x$$
Equating $$0.85x = 102$$, we get
$$x =$$ $$\dfrac{102}{0.85}$$= Rs. $$120$$
Hence, the cost of the shirt before discount is Rs. $$120$$.
Question 7
1 / -0

I bought two tables for Rs. $$5400$$. I sold one at a loss of $$5\%$$ and the other at a gain of $$7\%$$. In the whole transaction, I neither gained nor lost. Find the costs of the tables separately.

A
Cost of the two tables are Rs. $$3790$$ and Rs. $$2720$$.

B
Cost of the two tables are Rs. $$3150$$ and Rs. $$2250$$.

C
Cost of the two tables are Rs. $$2670$$ and Rs. $$1850$$.

D
None of these

Solution

Let the C.P. of one table $$=$$ Rs. $$x$$
Then, C.P. of the other table $$=$$ Rs. $$(5400 - x)$$
S.P. of the first table at a loss of $$5\%$$ $$=$$ Rs. $$\dfrac {95}{100}\times x$$

S.P. of the other table at a gain of $$7\%$$ $$=$$ Rs. $$\dfrac {107}{100}\times (5400-x)$$
Since there is no gain no loss.
Total S.P. $$=$$ Total C.P.
$$\Rightarrow \dfrac {95x}{100}+\dfrac {107\times (5400-x)}{100}=5400$$

$$\Rightarrow \dfrac {95x}{100}-\dfrac {107x}{100}+\dfrac {107\times 5400}{100}=5400$$

$$\Rightarrow \dfrac {-12x}{100}=\dfrac {5400\times 100-5400\times 107}{100}$$

$$\Rightarrow \dfrac{-12x}{100}=\dfrac{540000-577800}{100}$$

$$\Rightarrow -12x=-37800$$

$$\Rightarrow x=\dfrac{37800}{12}=$$ Rs. $$3150$$

$$\therefore$$ Cost of the two tables are Rs. $$3150$$ and $$(5400-3150) =$$ Rs. $$2250$$.
Question 8
1 / -0

A machine is sold at a profit of $$10\%$$. Had it been sold for Rs. $$40$$ less, there would have been a loss of $$10\%$$ . What was the cost price?

A
Rs. $$175$$

B
Rs. $$200$$

C
Rs. $$225$$

D
Rs. $$250$$

Solution

Let the cost price, C.P. be Rs. $$x$$
Profit $$= 10\%$$
Hence, S.P. $$= 1.1(x) =$$ Rs. $$ 1.1x$$
If a loss has been incurred, then the selling price of the machine would be Rs. $$0.9x$$.
Difference in selling prices $$= 40$$
$$1.1x - 0.9x = 40$$
$$0.2x = 40$$ or $$x = 200$$
The cost price of the machine is Rs. $$ 200$$.
Question 9
1 / -0

If a shopkeeper sells a watch for Rs. $$ 552$$, he will make a profit of $$15\%$$. If he allows a discount of $$5 \%$$ for cash payment his actual profit percentage is:

A
$$10\%$$

B
$$5\%$$

C
$$14.5\%$$

D
$$9.25\%$$

Solution

S.P. of the watch is Rs. $$552$$
Profit $$= 15\%$$
Let the C.P. be Rs. $$x$$
So, the S.P. will be Rs. $$1.15x$$
Equating both selling prices, we get
$$1.15x = 552$$ or $$x =$$ Rs. $$480$$.
Cost price $$=$$ Rs. $$480$$.
Discount offered $$= 5\%$$
So, the new S.P. will be $$0.95(552) =$$ Rs. $$524.4$$
Profit $$=$$ Rs. $$524.4 - 480 =$$ Rs. $$44.4$$
Profit $$\%$$ $$= 44.4\times \dfrac {100}{480} = 9.25\%$$
Question 10
1 / -0

A trader lists his articles $$20\%$$ above cost price and allows a discount of $$10\%$$ on cash payment. His gain per cent is

A
$$10\%$$

B
$$8\%$$

C
$$6\%$$

D
$$5\%$$

Solution

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Comparing Quantities Test - 30

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Comparing Quantities Test - 30

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Question 1

Rs. $$\ 1500$$

Rs. $$\ 1850$$

Rs. $$\ 2000$$

Rs. $$\ 1760$$

Solution

Question 2

Rs. $$2340$$

Rs. $$2540$$

Rs. $$2840$$

Rs. $$2440$$

Solution

Question 3

Rs. $$12.25$$

Rs. $$15.75$$

Rs. $$18.18$$

Rs. $$19.75$$

Solution

Question 4

$$52\%$$

$$48\%$$

$$50.5\%$$

$$37.5\%$$

Solution

Question 5

$$25 \%$$

$$26.4 \%$$

$$24.8 \%$$

$$30 \%$$

Solution

Question 6

Rs. $$ \ 115$$

Rs. $$ \ 117$$

Rs. $$ \ 120$$

Rs. $$\ 125$$

Solution

Question 7

Cost of the two tables are Rs. $$3790$$ and Rs. $$2720$$.

Cost of the two tables are Rs. $$3150$$ and Rs. $$2250$$.

Cost of the two tables are Rs. $$2670$$ and Rs. $$1850$$.

None of these

Solution

Question 8

Rs. $$175$$

Rs. $$200$$

Rs. $$225$$

Rs. $$250$$

Solution

Question 9

$$10\%$$

$$5\%$$

$$14.5\%$$

$$9.25\%$$

Solution

Question 10

$$10\%$$

$$8\%$$

$$6\%$$

$$5\%$$

Solution

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