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The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg.

  • a)
    x=2, y=3

  • b)
    x=3, y=2

  • c)
    x=2, y=2

  • d)
    x=3, y=3

Correct answer is option 'B'. Can you explain this answer?
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The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg...

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The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg...
Let's solve this problem step by step.

Given information:
1. The cost of 8kg apples and 3kg oranges is Rs 70.
2. The cost of 10kg apples and 6kg oranges is Rs 90.

Let's assume:
1. The cost of apples per kg is x.
2. The cost of oranges per kg is y.

To find the cost of each item, we need to set up a system of equations based on the given information.

Equation 1:
The cost of 8kg apples + the cost of 3kg oranges = Rs 70.
8x + 3y = 70

Equation 2:
The cost of 10kg apples + the cost of 6kg oranges = Rs 90.
10x + 6y = 90

To solve these equations, we can use the method of substitution or elimination. Let's use the substitution method.

Solving Equation 1 for x:
From Equation 1, we have:
8x = 70 - 3y
x = (70 - 3y)/8

Substituting x in Equation 2:
10((70 - 3y)/8) + 6y = 90
(700 - 30y)/8 + 6y = 90
Multiplying throughout by 8 to eliminate the denominator:
700 - 30y + 48y = 720
18y = 20
y = 20/18
y = 10/9

Substituting y back into Equation 1 to find x:
8x + 3(10/9) = 70
8x + 30/9 = 70
8x = 70 - 30/9
8x = (630 - 30)/9
8x = 600/9
x = 75/9
x = 25/3

So, the cost of apples per kg (x) is 25/3 or 8 1/3 Rs, and the cost of oranges per kg (y) is 10/9 or 1 1/9 Rs.

Comparing the values obtained with the given options, we can see that option B, x=3 and y=2, does not match the calculated values. Therefore, the correct answer is not option B.

Therefore, the correct answer is option D, x=3 and y=3.

Please note that there may have been a mistake in the options provided, as the calculated values do not match any of the given options.
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The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg.a)x=2, y=3b)x=3, y=2c)x=2, y=2d)x=3, y=3Correct answer is option 'B'. Can you explain this answer?
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The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg.a)x=2, y=3b)x=3, y=2c)x=2, y=2d)x=3, y=3Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg.a)x=2, y=3b)x=3, y=2c)x=2, y=2d)x=3, y=3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg.a)x=2, y=3b)x=3, y=2c)x=2, y=2d)x=3, y=3Correct answer is option 'B'. Can you explain this answer?.
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