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strojnjashka [21]
3 years ago
12

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

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Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.
valkas [14]

Answer:

Yes

Step-by-step explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

                        = 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

                       = 14d -  10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.

8 0
3 years ago
The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is 2w+6.

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

A=w(2w+6)

We can also substitute 40 in for A as it's given in the question.

40 = w(2w+6)

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

40 = 2w^2+6w

We can make the equation simpler by dividing both sides by 2.

20 = w^2+3w

Subtracting both sides by 20 will make the left-hand side 0.

0=w^2+3w-20

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}

w= \frac{-3\pm\sqrt{9+80}}{2}

w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}

Since the second solution results in a negative number, it cannot be the length of w.

w=\frac{-3+\sqrt{89}}{2}\approx3.217

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

l=2(3.217)+6

l=12.434

The length of this rectangle is 12.434 cm.

6 0
1 year ago
Need Help ASAP!!!!!!!!
Lady_Fox [76]

Answer:

The last one the one with (-6,00) and Range (5,00)

5 0
2 years ago
A tv programme begins at 7:45 and ends 50 minutes later what time does it finish
faust18 [17]

Answer:

8:35

Step-by-step explanation:

7:45 + 50minutes=

8:35

7 0
3 years ago
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Determine the solution, if any, to the system of equations below
meriva

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

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2 years ago
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