1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
abruzzese [7]
3 years ago
6

9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

You might be interested in
Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minut
Alona [7]

The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,

 

P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

 

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

3 0
3 years ago
Image should be below
Verizon [17]
Whatttt isss thissssss
8 0
3 years ago
What is 5/2 divided by 2/5
Len [333]

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

6 0
3 years ago
If
sp2606 [1]

Answer:

51

Step-by-step explanation:

4x12-3x3+12

48-9+12=51

7 0
2 years ago
True or false: the absolute value of a number is always greater than the number​
Neporo4naja [7]

Answer:

False

Step-by-step explanation:

Absolute Value of 5 is 5. 5=5

7 0
3 years ago
Read 2 more answers
Other questions:
  • Kathy was at a cabin for four nights. The outside temperatures for the four nights were: Night One:   −10 °F      Night Two:    
    12·2 answers
  • A Las Vegas handicapper can correctly predict the winning professional football team 70% of the time. The probability that she i
    9·1 answer
  • Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far
    8·2 answers
  • 70% of 600 of what number?
    9·1 answer
  • Previous
    8·2 answers
  • A box contains 5 red and 10 white marbles. If 8 marbles are to be chosen at random (without replacement), determine the probabil
    7·1 answer
  • What is the equation of the line in slope intercept form?​
    14·1 answer
  • Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele
    6·1 answer
  • Solve for h -4(-6h - 7) = 9h + 10h - 7
    10·2 answers
  • machine a pops 12.75 oz of popcorn in 3 minutes machine b pops 10 oz of popcorn in 4 minutes which machine pops more popcorn in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!