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The total cost of 5 kg orange and 3 kg apple is Rs.1100. If the rate of orange decreases by 20% and the rate of apple increases by 5%, the total cost of 3 kg orange and 3 kg apple will be Rs. 870. By what percent the cost of 1 kg apple is less or more than 1 kg orange? Find it.

Respuesta :

The percentage that the cost of 1 kg apple is more than 1 kg of orange is 100%.

What are the linear equations that represent the question?

5o + 3a = 1100 equation 1

2.4o + 3.15a = 870 equation 2

Where:

  • o = cost of 1kg of orange
  • a = cost of 1kg of apple

What is the cost of 1kg of orange?

Multiply equation 1 by 1.05

5.25o + 3.05a = 1155 equation 3

Subtract equation 3 from equation 2

285 = 2.85a

a = $100

What is the cost of one kg of apple?

Substitute for o in equation 1

5(100) + 3a = 1100

500 + 3a = 1100

3a = 1100 - 500

3a = 600

a = $200

By what percent the cost of 1 kg apple is less or more than 1 kg orange?

($200 / 100) - 1 = 100%

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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