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David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?
- a)Rs. 5000
- b)Rs. 6500
- c)Rs. 8000
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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David invested a certain amount in three different schemes A, B, and C with the rate of interest 10% p.a., 12% p.a., and 15% p.a., respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?
Solution:
Let the amount invested in Scheme A, Scheme B, and Scheme C be x, y, and 1.5x, respectively.
Given, the total interest accrued in one year = Rs. 3200
Interest earned from Scheme A = x × 10/100 = 0.1x
Interest earned from Scheme B = y × 12/100 = 0.12y
Interest earned from Scheme C = 1.5x × 15/100 = 0.225x
The total interest accrued in one year can be written as:
0.1x + 0.12y + 0.225x = 3200
0.325x + 0.12y = 3200
325x + 120y = 320000 ...(1)
Also, given that the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B.
i.e., 1.5x = 150/100 x A => A = 1.5/1.5 x
1.5x = 2.4 x B => B = 1.5/2.4 x
Substitute the values of A and B in terms of x in equation (1),
325x + 120 × (1.5/2.4) x = 320000
325x + 75x = 320000
400x = 320000
x = 800
Therefore, the amount invested in Scheme B = 1.5/2.4 x 800 = Rs. 5000
Hence, the answer is option A.
David invested a certain amount in three different schemes A, B, and C with the rate of interest 10% p.a., 12% p.a., and 15% p.a., respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?
Solution:
Let the amount invested in Scheme A, Scheme B, and Scheme C be x, y, and 1.5x, respectively.
Given, the total interest accrued in one year = Rs. 3200
Interest earned from Scheme A = x × 10/100 = 0.1x
Interest earned from Scheme B = y × 12/100 = 0.12y
Interest earned from Scheme C = 1.5x × 15/100 = 0.225x
The total interest accrued in one year can be written as:
0.1x + 0.12y + 0.225x = 3200
0.325x + 0.12y = 3200
325x + 120y = 320000 ...(1)
Also, given that the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B.
i.e., 1.5x = 150/100 x A => A = 1.5/1.5 x
1.5x = 2.4 x B => B = 1.5/2.4 x
Substitute the values of A and B in terms of x in equation (1),
325x + 120 × (1.5/2.4) x = 320000
325x + 75x = 320000
400x = 320000
x = 800
Therefore, the amount invested in Scheme B = 1.5/2.4 x 800 = Rs. 5000
Hence, the answer is option A.
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David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?a)Rs. 5000b)Rs. 6500c)Rs. 8000d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?a)Rs. 5000b)Rs. 6500c)Rs. 8000d)Cannot be determinede)None of theseCorrect 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 David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?a)Rs. 5000b)Rs. 6500c)Rs. 8000d)Cannot be determinede)None of theseCorrect 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 David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, What was the amount invested in Scheme B?a)Rs. 5000b)Rs. 6500c)Rs. 8000d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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