Comparing Quantities Test

Result

Comparing Quantities Test - 42

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

When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs. 780 in buying this T.V. Find the list price of the T.V.

A
$$Rs. 20,000$$

B
$$Rs. 24,000$$

C
$$Rs. 26,000$$

D
$$Rs. 30,000$$

Solution

Let the List price of the T.V=Rs.x
Then according to the question
$$(x+9\% of x)-(x+6\% of x)=780$$
$$\Rightarrow x+\frac{9x}{100}-x-\frac{6x}{100}=780$$
$$\Rightarrow \frac{9x}{100}-\frac{6x}{100}=780$$
$$\Rightarrow 3x=78000$$
$$\Rightarrow x=\frac{78000}{3}=Rs. 26000$$
Question 2
1 / -0

Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find the interest he earns for the second year.

A
Rs. 1,162

B
Rs. 1,243

C
Rs. 1,408

D
Rs. 1,591

Solution

P $$=Rs.12800$$

Rate of interest $$=10$$ %

Interest for the first year $$=\dfrac{PRT}{100}$$

$$\Rightarrow \dfrac{12800\times 10\times 1}{100}=Rs.1280$$

Amount after first year$$=12800+1280=Rs.14080$$

For Second year
Principal $$=Rs.14080$$
R $$=10$$%
T $$=1$$ year

then Interest for second year$$=\dfrac{PRT}{100}$$

$$\Rightarrow \dfrac{14080\times 10\times 1}{100}=Rs.1408$$
Question 3
1 / -0

Saurabh invests $$Rs.\ 48,000$$ for $$7$$ year at $$10\%$$ per annum compound interest. Calculate the interest for the first year.

A
$$Rs.\ 4,800$$

B
$$Rs.\ 4,900$$

C
$$Rs.\ 5,000$$

D
$$Rs.\ 5,100$$

Solution

Given:
$$P=Rs.\ 48000$$
$$r=10\%$$
$$t=1 $$ year

$$CI$$ for $$1^{st}$$ year $$=$$ $$SI$$ for $$1^{st}$$ year

$$=\dfrac{PRT}{100}$$

$$=\dfrac{48000\times 10\times 1}{100}$$

$$=Rs.\ 4800$$

Hence, option $$A$$ is correct.
Question 4
1 / -0

A sum of Rs. $$13,500$$ is invested at $$16\%$$ per annum compound interest for $$5$$ years. Calculate the interest for the second year, correct to the nearest rupee.

A
Rs. 2,106

B
Rs. 2,279

C
Rs. 2,506

D
Rs. 2,792

Solution

Sum=Rs 13,500
Rate=16%
Amount at the end of first year$$=P\left(1+\frac{R}{100}\right)^T$$
$$\Rightarrow 13500\left(1+\dfrac{16}{100}\right)$$
$$\Rightarrow 13500\times \dfrac{116}{100}=Rs.15,660$$
For the second year
Sum $$=Rs\,15,660$$
Then amount after second year$$=15660\left(1+\dfrac{16}{100}\right)$$
$$\Rightarrow 15,660\times \dfrac{116}{100}=Rs.18165.6$$
$$\therefore$$ Interest for second year $$=18,165.6-15,660$$
$$=Rs\,2505.6$$
Rounding off $$Rs\,2505.6$$ we get $$Rs\,2,506$$
Therefore interest for the second year is $$Rs\,2,506$$
Question 5
1 / -0

Directions For Questions

A man buys$$120$$ shares of face value $$Rs. 75$$ shares at a discount of $$Rs. 15$$ of a company paying $$20\%$$ dividend.

...view full instructions

the market value of 120 shares;

A
$$7200$$

B
$$2389$$

C
$$6800$$

D
$$6500$$

Solution

As the discount is Rs.15 then market value of 1 share$$=75-15=Rs.60$$
$$\therefore $$Market Value of 120 share$$=120\times 60= Rs. 7200$$
Question 6
1 / -0

During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates to Rs. 2,640 during the second financial year of its purchase.

A
3409

B
3333

C
2365

D
8551

Solution

$$\textbf{Step 1: Calculating the cost for the }\mathbf{1^{st}} \textbf{ year}$$
$$\text{Consider the original value to be x,}$$
$$\text{After the first year the value reduces to}$$
$$=x-\dfrac{12}{100}x=x-0.12x=0.88x$$
$$\textbf{Step 2: Calculating the cost for the }\mathbf{2^{nd}}\textbf{ year}$$
$$\text{The value reduces to}$$
$$=0.88x-\dfrac{12}{100}0.88x=0.88x\times(1-0.12)=0.7744x$$
$$\implies 0.7744x=2640$$
$$\implies x=3409$$
$$\textbf{Hence, The original value is Rs.3409}$$
Question 7
1 / -0

Directions For Questions

Saurabh invests Rs. $$48,000$$ for $$7$$ year at $$10\%$$ per annum compound interest.

...view full instructions

Calculate the amount at the end of the second year.

A
Rs. $$42,856$$

B
Rs. $$48,140$$

C
Rs. $$52,937$$

D
Rs. $$58,080$$

Solution

Given,
Sum $$(P)=Rs.48000$$
Rate $$=10\%$$
Time $$=2\ year$$
$$Amount=P\left(1+\dfrac{R}{100}\right)^t$$
$$= 48000\left(1+\dfrac{10}{100}\right)^2$$
$$= 48000\times \dfrac{110}{100}\times \dfrac{110}{100}\\=Rs.58080$$
Question 8
1 / -0

A shopkeeper announces a discount of $$15\%$$ on his goods. If the marked price of an article, in his shop is $$Rs. 6,000$$; how much a customer has to pay for it, if the rate of Sales Tax is $$10\%$$?

A
$$Rs. 5,610$$

B
$$Rs. 5,804$$

C
$$Rs. 5,906$$

D
None of these

Solution

Given,$$M.P=Rs.6000$$
Sales tax$$=10\%$$
S.P including sales tax$$=Rs.(6000+\dfrac{10}{100}\times 6000)$$
$$= Rs(6000+600)$$
$$=Rs.6600$$
Discount$$=15\%$$
$$\therefore$$ S.P after discount$$=Rs.(6600-15\% \ of\ 6600)$$
$$=Rs.( 6600- \dfrac{15}{100}\times 6600)$$
$$=Rs.( 6600-990)$$
$$=Rs.5610$$

Hence, the customer has to pay $$Rs.5610$$
Question 9
1 / -0

Directions For Questions

A trader buys an article for Rs. 1,700 at a discount of 15% on its printed price. He raises the printed price of the article by 20% and then sells it for Rs. 2,688 including sales tax on the new marked price. Find:

...view full instructions

The rate of Sales Tax

A
8%

B
10%

C
12%

D
14%

Solution

Let the M.P =Rs.x
C.P=Rs.1700
$$\therefore x-15\% of x=1700$$
$$\Rightarrow x-\frac{15}{100}x=1700$$
$$\Rightarrow \frac{85x}{100}=1700$$
$$\Rightarrow 85x=170000$$
$$\Rightarrow x=\frac{170000}{85}=Rs.2000$$

If he raised the printed price of the article=20%
$$\therefore$$ S.P of the article $$=2000+\frac{20}{100}\times 2000$$
$$\Rightarrow 2000+400=Rs.2400$$
S.P of the article including the tax=Rs.2688
Let the rate of sales tax=y%
Then $$2400+y\% of 2400=2688$$
$$\Rightarrow \frac{y}{100}\times 2400=2688-2400$$
$$\Rightarrow 24y=288$$
$$\Rightarrow y=\frac{288}{24}=12$$%
Question 10
1 / -0

The catalogue price of an article is Rs. 20,000. The dealer allows two successive discounts 15% and 10%. If Sales Tax at the rate of 10% is charged on the remaining amount. Find:
The final total price that customer has to pay for the article.

A
Rs. 13,830

B
Rs. 16,830

C
Rs. 19,830

D
None of these

Solution

M.P of the article =Rs.20000
Discount=15% and 10%
C.P after discount$$=20000\times \frac{85}{100}\times \frac{90}{100}=Rs.15300$$
Rate of sales tax=10%
Sales tax amount=10% of 15300$$=\frac{10}{100}\times 15300=Rs.1530$$
Final price of the article$$=15300+1530=Rs.16830$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 42

Result

Comparing Quantities Test - 42

Score

-

Rank

-

SHARING IS CARING

Question 1

$$Rs. 20,000$$

$$Rs. 24,000$$

$$Rs. 26,000$$

$$Rs. 30,000$$

Solution

Question 2

Rs. 1,162

Rs. 1,243

Rs. 1,408

Rs. 1,591

Solution

Question 3

$$Rs.\ 4,800$$

$$Rs.\ 4,900$$

$$Rs.\ 5,000$$

$$Rs.\ 5,100$$

Solution

Question 4

Rs. 2,106

Rs. 2,279

Rs. 2,506

Rs. 2,792

Solution

Question 5

$$7200$$

$$2389$$

$$6800$$

$$6500$$

Solution

Question 6

3409

3333

2365

8551

Solution

Question 7

Rs. $$42,856$$

Rs. $$48,140$$

Rs. $$52,937$$

Rs. $$58,080$$

Solution

Question 8

$$Rs. 5,610$$

$$Rs. 5,804$$

$$Rs. 5,906$$

None of these

Solution

Question 9

8%

10%

12%

14%

Solution

Question 10

Rs. 13,830

Rs. 16,830

Rs. 19,830

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.