Question

Answer!!


⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀​

Answer 1

Answer:

This is a classic example of finding mean and standard deviation using Z values.

From this page find the Z value corresponding to 31% area under the curve and 92% (100-8) percent area under the curve.

Math Is Fun Virtual Manipulative

Note: You'll probably be given tables to lookup in your quizzes.. they're a bit confusing. But you might as well learn how to use it.

As you know:

Z=X−μσZ=X−μσ

Put in X and Z values values twice, you'll have two linear equations. Solve them and the answer is yours!

Step-by-step explanation:

Let C.P be

′

x

′

Profit=25%

S.P=C.P(1+

100

profit%

)

S.P=x(1+

100

25

)

=x(1+

4

1

)

=

4

5x

If C.P were 20%less,

New C.P=x(1−

100

20

)

=x(1−

5

1

)

=

5

4x

New S.P=

4

5x

−38.75

∴Profit=S.P−C.P=

4

5x

−38.75−

5

4x

=

20

9x

−38.75

ATP, now profit %=30%

=>

5

4x

20

9x

−38.75

×100=30

As,Profit%=

C.P

profit

×100

20

9x

−38.75=

100

30

×

5

4x

20

9x

−38.75=

25

6x

20

9x

−

25

6x

=38.75

100

45x−24x

=38.75

21x=3875

x=

21

3875

=184.52≈185

∴C.P=Rs.185

Answer 2

Answer:

a). $The GST is=> ₹ 32$

b)$Price\:of\:theservice\:including\:GST\:is=₹ 432$

Given :

• $Amount\:charged\:by\:the\:plumber (Excluding\:GST) = ₹ 400$

• $GST\:rate = 8 %$

To find :

• a). $Amount of GST for the service$

• b). $Price\:of\:the\:service \:ncluding\: GST$

Solution :

$GST\:rate = 8 %$

$8 % of\:400$

a). $GST\:Amount = ( Original\:cost\:of\: the\:product\:or\:Service\:×\:GST % ) / 100$

$⇒ 400 × 8 / 100$

$\sf\fbox{⇒ ₹ 32}$

$The\:GST\:is$$\implies{₹ 32}$

Amount given by customers :

$Net\:Price = Original\:cost\:of\:the product\:or\:Service\:+\:GST\:amount$

$⇒ 400 + 32$

$⇒ 432$

$⇒ ₹ 432$

Amount given by customers including GST =

$₹ 432$

Therefore,

a). $The\:GST\:is=> ₹ 32$

b). $Price\:of\:the\:service\:including GST\:is=₹ 432$

Answer:-

$\sf\fbox{₹ 432}$