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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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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? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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