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Arohi buys 3 apples and 5 bananas for ₹85, while Rhea buys 2 apples and 4 bananas for ₹60. What is the total cost (in ₹) of one apple and one banana?
Question

Arohi buys 3 apples and 5 bananas for ₹85, while Rhea buys 2 apples and 4 bananas for ₹60. What is the total cost (in ₹) of one apple and one banana?

A.

30

B.

20

C.

18

D.

25

Correct option is D

Given:
Cost of 3 apples + 5 bananas = 85
Cost of 2 apples + 4 bananas = 60
Solution:
Let the cost of one apple be A and the cost of one banana be B.
According to the conditions given, we can write the following equations:
3A + 5B = 85 --- (Equation 1)
2A + 4B = 60 --- (Equation 2)
We simplify Equation 2 by dividing it by 2.
A + 2B = 30
From this, we express A in terms of B.
A = 30 - 2B
Substitute this value of A into Equation 1.
3 × (30 - 2B) + 5B = 85
90 - 6B + 5B = 85
90 - B = 85
B = 5
The cost of one banana is ₹5.
Now, substitute the value of B back to find A.
A = 30 - 2 × 5
A = 30 - 10 = 20
The cost of one apple is ₹20.
We need to find the total cost of one apple and one banana.
Total Cost = A + B = 20 + 5 = 25
Final Answer
So the correct answer is (d)

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