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Vikram invests some money in three different schemes for 4 years, 8 years and 12 years at 10%, 15% and 20% Simple Interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is
  • a)
    6 : 2 : 1
  • b)
    5 : 2 : 1
  • c)
    5 : 2 : 3
  • d)
    5 : 2 : 7
  • e)
    None of the Above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Vikram invests some money in three different schemes for 4 years, 8 ye...
A. 6 : 2 : 1
Explanation: Principal = x1, x2 and x3 x1 * 4 * 10 = x2 * 8 * 15 = x3 * 12 * 20 x1 = 3×2 = 6×3 x1 : x2 = 3 : 1 ; x2 : x3 = 2 : 1 x1 : x2 : x3 = 6 : 2 : 1
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Vikram invests some money in three different schemes for 4 years, 8 ye...
To solve this question, let's assume that the initial investments in the three schemes are x, y, and z.

Given:
- Scheme 1 is for 4 years at a 10% interest rate.
- Scheme 2 is for 8 years at a 15% interest rate.
- Scheme 3 is for 12 years at a 20% interest rate.

We need to find the ratio of investments, so we can write the equation as:

x * 10% * 4 = y * 15% * 8 = z * 20% * 12

Simplifying this equation, we get:

0.4x = 1.2y = 2.4z

Now, let's find the common ratio by comparing the ratios of coefficients:

(0.4x) : (1.2y) : (2.4z)

Dividing all the terms by 0.4, we get:

x : 3y : 6z

Now, we need to simplify this ratio to the smallest integer values. Let's divide all the terms by x:

1 : 3(y/x) : 6(z/x)

Since the ratio of investments should be in the form of integers, let's assume y/x = a and z/x = b, where a and b are integers.

So, the ratio becomes:

1 : 3a : 6b

Since the answer options are in the form of integers, the smallest possible values for a and b should be 2 and 1, respectively, in order to satisfy the given conditions.

Therefore, the ratio of investments is:

1 : 3(2) : 6(1) = 1 : 6 : 2

Hence, the correct answer is option A: 6 : 2 : 1.
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Community Answer
Vikram invests some money in three different schemes for 4 years, 8 ye...
A. 6 : 2 : 1
Explanation: Principal = x1, x2 and x3 x1 * 4 * 10 = x2 * 8 * 15 = x3 * 12 * 20 x1 = 3×2 = 6×3 x1 : x2 = 3 : 1 ; x2 : x3 = 2 : 1 x1 : x2 : x3 = 6 : 2 : 1
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Vikram invests some money in three different schemes for 4 years, 8 years and 12 years at 10%, 15% and 20% Simple Interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments isa)6 : 2 : 1b)5 : 2 : 1c)5 : 2 : 3d)5 : 2 : 7e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?
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