Comparing Quantities Test

Result

Comparing Quantities Test - 57

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

45% of x + 30% of 90=30% 210. Then what is the value of x?

A
80

B
85

C
90

D
95

Solution

SOLUTION:
$$ \dfrac {45}{100} $$ x $$x$$ + $$ \dfrac {30}{100} $$ x $$90$$ = $$ \dfrac {30}{100} $$ x $$210$$
$$ \dfrac {45}{100} $$ x $$x$$ = 63-27=36
$$x$$ = 36 x $$ \dfrac {100}{45} $$
$$x$$= 80
hence the correct opt: A
Question 2
1 / -0

The sale price of an article including taxes is $$Rs.\ 616.$$ The rate of sales tax is $$10\%.$$ If the shopkeeper has made a profit of $$12\%.$$ find the cost price

A
$$Rs.\ 500$$

B
$$Rs.\ 450$$

C
$$Rs.\ 600$$

D
$$Rs.\ 550$$

Solution

Let us assume that the sales price and cost price of the article is $$x$$ and $$y.$$

$$\begin{aligned}{}SP + Tax& = 616\\x + \frac{{10x}}{{100}}& = 616\\\frac{{11x}}{{10}} &= 616\\x& = \frac{{616 \times 10}}{{11}}\\ &=Rs.\ 560\end{aligned}$$

And,
$$\begin{aligned}{}CP + Profit &= SP\\y + \frac{{12y}}{{100}}& = 560\\\frac{{28y}}{{25}} &= 560\\y& = \frac{{560 \times 25}}{{28}}\\ &=Rs.\ 500\end{aligned}$$

Hence, the cost price of the article is $$Rs.\ 500.$$
Question 3
1 / -0

The S.I. accrued on an amount of Rs. $$25,000$$ at the end of three years is Rs. $$7,500$$. What would be the C.I. accrued on the same amount at the same rate in the same period?

A
$$7,750$$

B
$$8,275$$

C
$$8,500$$

D
$$8,250$$

E
None of these

Solution

Apply the formula for simple interest

$$7500=\dfrac{25000\times R\times3}{100}$$

$$\implies R=\dfrac{7500}{250\times3}=10\%$$

Interest for the $$1$$st year$$=\dfrac{25000\times10\times1}{100}$$
$$=2500$$

Amount After the $$1$$st year$$=25000+$$$$2500$$
$$=27500$$
Interest for the $$2$$nd year$$=\dfrac{27500\times10\times1}{100}$$
$$=2750$$

Amount After the $$2$$nd year$$=27500+$$$$2750$$
$$=30250$$
Interest for the $$3$$rd year$$=\dfrac{30250\times10\times1}{100}$$
$$=3025$$

Amount After the $$3$$rd year$$=30250+$$$$3025$$
$$=33275$$

$$\therefore$$Compound Interest(CI)$$=33275-$$$$25000$$
$$=Rs.8275$$
Question 4
1 / -0

Choose the correct answer from the alternative given.
A man had $$100$$ kgs of sugar, part of which he sold at $$7\%$$ profit and rest at $$17\%$$ profit. He gained $$10\%$$ on the whole. How much did he sell at $$7\%$$ profit?

A
$$65$$kg

B
$$35$$kg

C
$$30$$kg

D
$$70$$kg
Question 5
1 / -0

If the interest on a certain sum for first year at $$5\%$$ p.a. compounded is Rs. $$25$$ then, the total interest at the end of second year will be.

A
$$51.25$$

B
$$50$$

C
$$26.25$$

D
None of the above

Solution

$$I=25$$
$$R=5%$$
$$SI=\cfrac{P\times R \times T }{100}$$
$$ 25 = \cfrac{P \times 5\times 1}{100}$$
$$ P= \cfrac{25 \times 100}{5} = ₹500$$
Amount after first year $$= 500 + 25 = 525$$
Interest for second year $$= \cfrac{525 \times 5\times 1}{100} = 26.25$$
Total interest $$= 25+26.25$$
$$= Rs51.25$$
Question 6
1 / -0

The difference in compound interest and simple interest for one year for Rs. $$1,000$$ at $$10\%$$ p.a. is?

A
$$10$$

B
$$5$$

C
$$0$$

D
None of the above

Solution

$$SI = \cfrac{1000 \times 10 \times 1}{100} = ₹100$$
Compound interest for the first year $$= \cfrac{1000 \times 10 \times 1}{100} = ₹100$$
$$CI - SI =$$ $$ 100-100 = 0$$
Question 7
1 / -0

A shopkeeper offers successive discounts of $$20$$%, $$10$$% and $$5$$% respectively on a Titan watch which is marked at Rs.$$1500$$. He offers successive discounts of $$20$$%. $$20$$% and $$10$$% espectively on a Ajanta watch which is marked at Rs. $$2000$$. What is the difference between their selling price?

A
Rs. $$152$$

B
Rs. $$126$$

C
Rs. $$26$$

D
Rs $$0$$

Solution

Selling price of Titan watch
= $$0.8 \times 0.9 \times 0.95 \times 1500 = Rs. 1026$$
Selling price of Ajanta watch
= $$0.8 \times 0.8 \times 8.9 \times 2000 = Rs. 1152$$
Difference is selling price = Rs.$$ (1152 - 1026) = Rs. 126$$
Question 8
1 / -0

A loss of $$20$$% is incurred when $$6$$ articles are sold for a rupee. To gain $$20$$% how many articles should be sold for a rupee?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Given than, $$SP = 1, Loss$$% $$= 20$$%
We know that, $$SP = 0.8\times CP$$
$$CP = \dfrac {5}{4}$$
To gain $$20$$%, $$SP = 1.2\times CP = \dfrac {120}{100}\times \dfrac {5}{4} = \dfrac {3}{2} \Rightarrow SP = \dfrac {3}{2}$$
For $$Rs. 3/2$$ number of articles sold $$= 6$$
For $$Rs. 1$$ number of articles to be sold $$= 6\times \dfrac {2}{3} = 4$$ articles.
Question 9
1 / -0

Mrs. S deposited Rs. $$1,00,000$$ in a nationalized bank for $$3$$ years. If the rate of interest is $$7\%$$ p.a., Interest is compounded annually. Calculate the amount at the end of third year (i.e., Principal $$+$$ compound interest)

A
$$1,22,504.03$$

B
$$1,02,504.30$$

C
$$1,22,505.30$$

D
$$1,22,405.30$$

Solution

Interest for the$$1^{ st }$$ year $$= Rs.\dfrac { 100000\times 1\times 7 }{ 100 } =Rs. 7000$$

Amount after the$$1^{ st }$$ year $$= Rs. 100000 + Rs.7000= Rs. 107000$$

Interest for the $$2^{nd}$$ year $$= Rs.\dfrac{107000\times 1\times 7}{100} = Rs.7490$$

Amount after the $$2^{nd}$$ year $$= Rs. 107000 + Rs. 7490 = Rs. 114490$$

Interest for the$$3^{ rd }$$ year $$= Rs. \dfrac { 114490\times 1\times 7 }{ 100 } = Rs. 8014.3$$

$$\therefore$$ Amount at the end of the $$3^{rd}$$ year $$= Rs. 114490+ Rs. 8014.3= Rs. 122504.30$$
Question 10
1 / -0

A shop keeper earns a profit of $$12$$% on selling a book at $$10$$% discount on the printed price. The ratio of cost price to the printed price of the book is

A
$$45 : 56$$

B
$$50 : 61$$

C
$$99 : 125$$

D
None of these

Solution

Using the formula
$$\dfrac {100\pm (Profit\ Loss)}{100 - Discount} = \dfrac {M.P}{C.P}$$
$$\dfrac {M.P}{C.P} = \dfrac {112}{100 - 10} = \dfrac {112}{90} = \dfrac {56}{45}$$
Hence, $$\dfrac {C.P}{M.P} = \dfrac {45}{56}$$.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 57

Result

Comparing Quantities Test - 57

Score

-

Rank

-

SHARING IS CARING

Question 1

80

85

90

95

Solution

Question 2

$$Rs.\ 500$$

$$Rs.\ 450$$

$$Rs.\ 600$$

$$Rs.\ 550$$

Solution

Question 3

$$7,750$$

$$8,275$$

$$8,500$$

$$8,250$$

None of these

Solution

Question 4

$$65$$kg

$$35$$kg

$$30$$kg

$$70$$kg

Question 5

$$51.25$$

$$50$$

$$26.25$$

None of the above

Solution

Question 6

$$10$$

$$5$$

$$0$$

None of the above

Solution

Question 7

Rs. $$152$$

Rs. $$126$$

Rs. $$26$$

Rs $$0$$

Solution

Question 8

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 9

$$1,22,504.03$$

$$1,02,504.30$$

$$1,22,505.30$$

$$1,22,405.30$$

Solution

Question 10

$$45 : 56$$

$$50 : 61$$

$$99 : 125$$

None of these

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.