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The rates of simple interest in two banks. A and B are in the ratio 5 : 4. A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the saving in banks A and B in the ratio.
  • a)
    2 : 5
  • b)
    4 : 5
  • c)
    5 : 2
  • d)
    5 : 4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The rates of simple interest in two banks. A and B are in the ratio 5 ...
Let the savings in the banks A and B be x and y respectively
∴ According to the given conditions,
⇒ (x × 0.5 × r1) = (y × 0.5 × r2)
∴xy=r2r1=45∴xy=r2r1=45

∴ The person should invest amounts in the ratio of 4 ∶ 5 in the banks A and B respectively
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Most Upvoted Answer
The rates of simple interest in two banks. A and B are in the ratio 5 ...
Given:
- The rates of simple interest in two banks, A and B, are in the ratio 5 : 4.

To find:
- The ratio in which the person should deposit his savings in banks A and B in order to receive equal half-yearly interest from both.

Solution:
Let's assume that the person has a total savings of S.

Let the rate of interest in bank A be 5x and the rate of interest in bank B be 4x.

Calculating the interest:
For half-yearly interest, we need to divide the annual interest rate by 2.

The interest received from bank A after 6 months would be (S * 5x * (1/2)) = S * (5/2) * x.
The interest received from bank B after 6 months would be (S * 4x * (1/2)) = S * 2x.

Setting up the equation:
Since we want the person to receive equal half-yearly interest from both banks, we can equate the two expressions for the interest:

S * (5/2) * x = S * 2x.

Simplifying the equation:
Canceling out the common factors, we get:

(5/2) * x = 2x.

Solving for x:
Dividing both sides by x:

(5/2) = 2.

Cross multiplying:

2 * 5 = 2 * 2,

10 = 4.

Conclusion:
Since the equation does not hold true, we can conclude that our assumption that the rates of interest in banks A and B are in the ratio 5 : 4 is incorrect.

Therefore, the correct ratio in which the person should deposit his savings in banks A and B cannot be determined with the given information.

Hence, none of the provided options (a), b), c), or d)) is the correct answer.
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The rates of simple interest in two banks. A and B are in the ratio 5 : 4. A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the saving in banks A and B in the ratio.a)2 : 5b)4 : 5c)5 : 2d)5 : 4Correct answer is option 'B'. Can you explain this answer?
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