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2 oranges, 3 bananas and  4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples
  • a)
    RS 15.
  • b)
    RS 13.
  • c)
    RS 17.
  • d)
    RS 10.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 a...
2 oranges, 3 bananas and 4 apples cost Rs.15

⇒ 2O + 3B + 4A = 15  ... (i)

3 oranges, 2 bananas, and 1 apple costs Rs 10

⇒ 3O + 2B + 1A = 10 ...(ii)

Adding Equation (i) & (ii)

⇒ 5O + 5B + 5A = 25 ..(iii)

Multiplying Eq (iii) by (3/5)

⇒ 3O + 3B + 3A = 15

Cost of 3 oranges, 3 bananas and 3 apples = Rs. 15
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Most Upvoted Answer
2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 a...
Given:

2 oranges + 3 bananas + 4 apples = Rs.15 ----(1)
3 oranges + 2 bananas + 1 apple = Rs.10 ----(2)

To find:
Cost of 3 oranges + 3 bananas + 3 apples

Solution:
Let's first find the cost of 1 orange, 1 banana, and 1 apple.

From equation (1), we can write:
2 oranges + 3 bananas + 4 apples = Rs.15

Divide both sides by 2 to get the cost of 1 orange:
1 orange + 3/2 bananas + 2 apples = Rs.7.5

Subtracting the cost of 3 bananas and 2 apples from both sides, we get:
1 orange = Rs.7.5 - 3/2(Rs.10) = Rs.7.5 - Rs.15 = -Rs.7.5

This means that 1 orange has a negative cost, which is not possible.
So, we made a mistake in assuming that equation (1) gives us the cost of the fruits.

Let's try to find the cost of each fruit from equation (2):

3 oranges + 2 bananas + 1 apple = Rs.10

Divide both sides by 3 to get the cost of 1 orange:
1 orange + 2/3 bananas + 1/3 apple = Rs.10/3

Subtracting the cost of 2 bananas and 1/3 apple from both sides, we get:
1 orange = Rs.10/3 - 2/3(Rs.15) = Rs.10/3 - Rs.10 = -Rs.20/3

Again, we have a negative cost for 1 orange, which is not possible.

Let's try to find the cost of each fruit in a different way:

Let the cost of 1 orange be x, the cost of 1 banana be y, and the cost of 1 apple be z.
From equation (1), we get:
2x + 3y + 4z = 15

From equation (2), we get:
3x + 2y + z = 10

Multiplying equation (2) by 2 and subtracting it from equation (1) multiplied by 3, we get:
3(2x + 3y + 4z) - 2(3x + 2y + z) = 15 - 2(10)
6x + 9y + 12z - 6x - 4y - 2z = -5
5y + 10z = -5
y + 2z = -1 ----(3)

Now we can use equations (2) and (3) to solve for x, y, and z:

From equation (3), we get:
y = -1 - 2z

Substituting this in equation (2), we get:
3x + 2(-1 - 2z) + z = 10
3x - 4z = 12 ----(4)

Substituting y = -1 - 2z and y + 2z = -1 in equation (1), we get:
2x + 3(-1 - 2z) + 4
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Community Answer
2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 a...
B
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2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 applesa)RS 15.b)RS 13.c)RS 17.d)RS 10.Correct answer is option 'A'. Can you explain this answer?
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2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 applesa)RS 15.b)RS 13.c)RS 17.d)RS 10.Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 applesa)RS 15.b)RS 13.c)RS 17.d)RS 10.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 applesa)RS 15.b)RS 13.c)RS 17.d)RS 10.Correct answer is option 'A'. Can you explain this answer?.
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