General Test

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General Test - 20

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Weekly Quiz Competition

Question 1
4 / -1

P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is:

A
Rs. 40000

B
Rs. 50000

C
Rs. 60000

D
Rs. 70000

Solution

P and $Q$ invested in a business. The profit earned was divided in the ratio $2: 3$. If P invested Rs. 40000.

Concept used:

Amount invested $P$ to $Q=$ ratio of their profit

Calculation:

The amount of $P$ invested Rs. 40000 and amount invested by $Q$ is $y$.

Amount invested $P$ to $Q=$ ratio of their profit

$\Rightarrow \frac{40000}{y}=\frac{2}{3}$

$\Rightarrow y=40000 \times \frac{3}{2}$

$\Rightarrow y=R s .60000$

$\therefore$ The amount invested by $Q$ is Rs. $60000 .$
Question 2
4 / -1

At what rate percent per annum will Rs. 8000 amount to Rs. 8820 in 2 years at compound interest?

A
$8 \%$

B
$9 \%$

C
$7 \%$

D
$5 \%$

Solution

Given:

Principal = Rs. 8000

Amount after 2 years = Rs. 8820

As interest is compounded annually for 2 years, we have to square root both principal and amount and compare them to find the interest.

Compound interest$=$Amount $=$ Principal$\left(1 + \frac{\text{Rate}}{100}\right)^t$

Let, the rate of interest be r %.

Accordingly,

$8000 \times\left(1+\frac{r}{ 100}\right)^{2}=8820$

$\Rightarrow \frac{8820} { 8000}=\left(1+\frac{r}{ 100}\right)^{2}$

$\Rightarrow \frac{441}{400}=\left(1+\frac{r}{ 100}\right)^2$

$\Rightarrow \frac{21}{20}=1+\frac{r}{100}$

$\Rightarrow \frac{r}{100}=\frac{1}{20}$

$\Rightarrow \mathrm{r}=5$

$\therefore$ Rate of Interest is $5 \%$ per annum.
Question 3
4 / -1

A certain sum of money fetched an interest of Rs. $1800$ at $15 %$ per annum simple interest for $2$ years. Find the sum.

A
Rs. $5000$

B
Rs. $4000$

C
Rs. $8000$

D
Rs. $6000$

Solution

Let the sum of money be Rs. $100 x$ .
Simple Interest at $15 %$ per annum for $2$ years $= 2 \times (15 %$ of $100 x) =$ Rs. $30 x$
So, according to the question,

$30 x = 1800$
$\Rightarrow x = 60$
Therefore, Sum $=$ Rs. $100 x =$ Rs. $(100 \times 60) =$ Rs. $6000$
Question 4
4 / -1

A trader buys an article at 80% of its marked price and sells it at a 10% discount on its marked price. His percentage profit is:

A
$12 \frac{1}{2}$

B
$10 \frac{1}{2}$

C
15

D
10

Solution

Let M.P. of the article be Rs. 100

C.P. of the article for trader $=100 \times \frac{80}{100}=80$

S.P. of the article $=100 \times \frac{90}{100}=90$

Required percentage $=\frac{(90-80)}{80} \times 100=12 \frac{1}{2} \%$
Question 5
4 / -1

1 bar of chocolate costs Rs. 80 but containing 6 bars of the same chocolate costs Rs. 400. What is the effective discount (in %) on the box?

A
20

B
16.67

C
25

D
15

Solution

Cost of 6 bars of chocolate at the rate of Rs. 80 per bar $=6 \times 80=$ Rs. 480

Selling price of 6 bars $=$ Rs. 400

Discount $=\frac{(480-400)}{480} \times 100$$=16.67 \%$
Question 6
4 / -1

An insurance company pays Rs. $3, 81, 800$ after a new car worth Rs. $4, 60, 000$ gets completely damaged in an accident. Whatpercent of the car was insured?

A
$83 %$

B
$82 %$

C
$76 %$

D
$78 %$

Solution
Question 7
4 / -1

A
$288$

B
$72$

C
$144$

D
$108$

Solution
Question 8
4 / -1

Pipe P and Q can fill a tank in 5 hours and 12 hours respectively. If pipe P is opened at 8:00 a.m. and pipe Q is opened at 10:10 a.m. then, at what time will the tank be full?

A
12 : 10 P.M.

B
12 : 20 P.M.

C
11 : 20 P.M.

D
11 : 10 P.M.

Solution

Given:

Pipe P fills a tank = 5 hours

Pipe Q fills a tank = 12 hours

Calculation:

Let the total capacity of a tank = 60 units

Tank filled by pipe P in 1 hour = $\frac{60}{5}$

= 12 units

Tank filled by pipe Q in 1 hour = $\frac{60}{12}$

= 5 units

Tank filled by pipe P from 8:00 a.m. to 10:00 a.m. = 24 units

Tank filled by pipe P from 10:00 a.m. to 10:10 a.m. = 2 units

Remaining tank to be filled = 60 – 26

= 34 units

Tank filled in 1 hour, when both the pipes are open (from 10: 10 a.m. to 11:10 a.m.) =17 units

Tank filled in next 1 hour, when both the pipes are opened from 11:10 a.m. to 12:10 p.m. = 17 units.

∴ The tank will be filled at 12:10 P.m.
Question 9
4 / -1

A
$1060$

B
$792$

C
$132$

D
$272$

Solution
Question 10
4 / -1

The value of $\frac{18.43 \times 18.43-6.57 \times 6.57}{11.86}$ is:

A
26

B
25

C
23.62

D
24.12

Solution

$\frac{18.43 \times 18.43-6.57 \times 6.57}{11.86}$

$= \frac{(18.43)^2-(6.57)^2}{18.43-6.57}$

$= \frac{(18.43-6.57)(18.43+6.57)}{18.43-6.57}$$= 25$

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Re-Attempt Weekly Quiz Competition

General Test - 20

Result

General Test - 20

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Question 1

Rs. 40000

Rs. 50000

Rs. 60000

Rs. 70000

Solution

Question 2

\(8 \%\)

\(9 \%\)

\(7 \%\)

\(5 \%\)

Solution

Question 3

Rs.5000

Rs.4000

Rs.8000

Rs.6000

Solution

Question 4

\(12 \frac{1}{2}\)

\(10 \frac{1}{2}\)

15

10

Solution

Question 5

20

16.67

25

15

Solution

Question 6

83%

82%

76%

78%

Solution

Question 7

288

72

144

108

Solution

Question 8

12 : 10 P.M.

12 : 20 P.M.

11 : 20 P.M.

11 : 10 P.M.

Solution

Question 9

\(1060\)

\(792\)

\(132\)

\(272\)

Solution

Question 10

26

25

23.62

24.12

Solution

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Rs. $5000$

Rs. $4000$

Rs. $8000$

Rs. $6000$

$83 %$

$82 %$

$76 %$

$78 %$

$288$

$72$

$144$

$108$