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IgorLugansk [536]
3 years ago
9

Can you help me explain

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

We need to isolate X.

3x - 7 = x + 13

subtract 13

3x - 7 - 13 = x

combine like terms

3x - 20 = x

subtract 3x

- 20 = x - 3x

Combine like terms

- 20 = - 2x

Divide by -2

10 = x

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The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price o
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Answer:

61.84%

Step-by-step explanation:

Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:

1.1x = 0.8(80 - x) + 28

We can simplify and solve:

1.1x = 64 - 0.8x + 28

1.9x = 92

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x = 920/19

The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).

The sum of these two can be written as a percent x of 80.

80x = 0.8(80 - 920/19) + 1.1(920/19)

80x = 64 - 0.8(920/19) + 1.1(920/9)

80x = 64 - 0.3(920/19)

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80x = 940/19

x = 940/1520

x = 0.6184

This is 61.84%

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