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Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. Had Naveen purchased 3 oranges, 5 apples and 9 bananas, He would have to pay Rs 64. Gagan demanded only 1 orange, 1 apple and 1 banana. If Naveen purchased only what was demanded by Gagan, then how much would he have paid (in Rs)?
- a)16
- b)28
- c)36
- d)24
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. H...
Let the cost of each orange, apple and banana be o, a and b respectively.
Given, 2(o)+3a+5b=40 -------- (i)
3(o)+5a+9b=64-------- (ii)
From 2(i) - (ii):
⇒ o+a+b= 16
Most Upvoted Answer
Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. H...
Given:
Naveen purchased 2 oranges, 3 apples, and 5 bananas and paid Rs 40.
Naveen purchased 3 oranges, 5 apples, and 9 bananas and paid Rs 64.
Gagan demanded only 1 orange, 1 apple, and 1 banana.
To find:
How much Naveen would have paid if he had purchased only what was demanded by Gagan.
Solution:
Let the cost of one orange be x, the cost of one apple be y and the cost of one banana be z.
From the first statement, we can write two equations:
2x + 3y + 5z = 40 ...(1)
3x + 5y + 9z = 64 ...(2)
Subtracting equation (1) from equation (2), we get:
x + 2y + 4z = 24 ...(3)
Now, Gagan demanded only 1 orange, 1 apple, and 1 banana. So the cost of these three fruits will be:
x + y + z = ?
To find the value of x + y + z, we need to eliminate two variables from equation (3).
Multiplying equation (3) by 2, we get:
2x + 4y + 8z = 48
Subtracting this equation from equation (2), we get:
x + y + z = 16
Therefore, Naveen would have paid Rs 16 if he had purchased only what was demanded by Gagan.
Hence, the correct answer is option (A).
Naveen purchased 2 oranges, 3 apples, and 5 bananas and paid Rs 40.
Naveen purchased 3 oranges, 5 apples, and 9 bananas and paid Rs 64.
Gagan demanded only 1 orange, 1 apple, and 1 banana.
To find:
How much Naveen would have paid if he had purchased only what was demanded by Gagan.
Solution:
Let the cost of one orange be x, the cost of one apple be y and the cost of one banana be z.
From the first statement, we can write two equations:
2x + 3y + 5z = 40 ...(1)
3x + 5y + 9z = 64 ...(2)
Subtracting equation (1) from equation (2), we get:
x + 2y + 4z = 24 ...(3)
Now, Gagan demanded only 1 orange, 1 apple, and 1 banana. So the cost of these three fruits will be:
x + y + z = ?
To find the value of x + y + z, we need to eliminate two variables from equation (3).
Multiplying equation (3) by 2, we get:
2x + 4y + 8z = 48
Subtracting this equation from equation (2), we get:
x + y + z = 16
Therefore, Naveen would have paid Rs 16 if he had purchased only what was demanded by Gagan.
Hence, the correct answer is option (A).
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Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. Had Naveen purchased 3 oranges, 5 apples and 9 bananas, He would have to pay Rs 64. Gagan demanded only 1 orange, 1 apple and 1 banana. If Naveen purchased only what was demanded by Gagan, then how much would he have paid (in Rs)?a)16b)28c)36d)24e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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