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Natali5045456 [20]
2 years ago
12

The marked price of a mobile set is Rs 9,600 and 40% discount is allowed to make 20% profit. By what percent is the discount to

be reduced to increase the profit by 10%?​
Mathematics
1 answer:
Tanya [424]2 years ago
7 0

Answer:

5%

Step-by-step explanation:

<u>price after discount :</u>

9 600 - 9 600×40%

= 5760

<u>Original price (price without profit) :</u>

let x be the original price of the device.

x + x × 20% = 5760

Then

x = (5 760×100)÷120

  = 4 800

<u>Original price increased by 30% :</u>

4 800 + 4 800×30%

= 6 240

<u>the discount needed to increase the profit by 10% :</u>

[(9 600-6 240)÷9 600]×100

= 35%

Then

to increase the profit by 10% ,we have to reduce

the percent of discount to :

40% - 35%

= 5%

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If F(x) = f(g(x)), where f(−1) = 5, f ′(−1) = 3, f ′(5) = 3, g(5) = −1, and g ′(5) = 8, find F ′(5). F '(5) =
sattari [20]

Given:

F(x)=f(g(x))

where, f(-1)=5,f'(-1)=3,f'(5)=3,g(5)=-1,g'(5)=8.

To find:

The value of F'(5).

Solution:

We have,

F(x)=f(g(x))

Differentiate with respect to x.

F'(x)=\dfrac{d}{dx}f(g(x))

Using chain rule, we get

F'(x)=f'(g(x))g'(x)

Now, put x=5.

F'(5)=f'(g(5))g'(5)

F'(5)=f'(-1)\times 8       [\because g(5)=-1,g'(5)=8]

F'(5)=3\times 8        [\because f'(-1)=3]

F'(5)=24

Therefore, the value of F'(5) is 24.

4 0
3 years ago
1 ) what is 175 % of 85?
coldgirl [10]
 the equation to solve these problems is: \frac{is}{of} = \frac{x}{100}
1)175*85=100x
x=148.75
2)76*100=80x
x=95
3) 96*100=160x
x=60
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8 0
3 years ago
The diameter of a circle is 4 centimeters. What is the length of a 45° arc?​
madam [21]

Answer: The length of the arc is 1.57 centimeters

Step-by-step explanation: If the diameter has been given as 4 centimeters, then the radius would be diameter divided by 2, and that equals 2.

With the radius now known as 2, we can calculate the length of the arc as follows;

Length of an arc = (Ω/360) x 2πr

Where Ω is the angle subtended by the radio and r is the radius.

Length of an arc = (45/360) x 2 x 3.14 x 2

Length of an arc = (1/8) x 12.56

Length of an arc = 1.57

Therefore, the length of the arc is 1.57 centimeters

3 0
3 years ago
Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance. Work out the percentage incre
S_A_V [24]

Answer:

260%

Step-by-step explanation:

To solve how much the percentage increase cost of Jo's car insurance is, we first need to list down our variables.

1st year = £245

2nd year = £883

First off, we need to find the difference of the two.

Increase = £883 - £245

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Now to find the percentage increase, we take our increase and divide it by our 1st year's payment and multiply it by 100.

Percentage increase = \dfrac{638}{245}*100

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So the percentage increase of last years payment to this years payment is 260%.

8 0
4 years ago
4(3x+5)= -4
NeX [460]

Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

12x+20=-4

Then you will combine like terms

12x+20=-4

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12x=-24

Then you will divide 12 to isolate x

\frac{12x}{-24} =\frac{-24}{-24}

Obviously, -24 cancels out and you would get x=-2

4 0
4 years ago
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