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Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?
- a)Rs 25000
- b)Rs 22000
- c)Rs 18000
- d)Cannot be determined
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Mr Uday deposited a total amount of Rs 65,000 in three different schem...
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Mr Uday deposited a total amount of Rs 65,000 in three different schem...
Given information:
- Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively.
- Total interest earned in one year = Rs 10,180.
- Amount invested in scheme A was 72% of the amount invested in scheme C.
To find:
- Amount invested in scheme B.
Solution:
Let's assume the amount invested in schemes A, B, and C are A, B, and C respectively.
From the given information, we can form the following equations:
Equation 1: A + B + C = 65,000 (total amount invested)
Equation 2: A = 0.72C (amount invested in scheme A was 72% of the amount invested in scheme C)
Equation 3: 0.12A + 0.16B + 0.18C = 10,180 (total interest earned in one year)
Substituting Equation 2 in Equation 1, we get:
0.72C + B + C = 65,000
0.72C + C + B = 65,000
1.72C + B = 65,000
Substituting Equation 2 and Equation 3 in the above equation, we get:
1.72(1.39A) + B = 65,000
2.388A + B = 65,000
B = 65,000 - 2.388A
Now, we can substitute Equation 2 and Equation 1 in the equation for total interest earned to get:
0.12(0.72C) + 0.16B + 0.18C = 10,180
0.0864C + 0.16B + 0.18C = 10,180
0.2664C + 0.16B = 10,180
Substituting the value of B from the equation we derived earlier, we get:
0.2664C + 0.16(65,000 - 2.388A) = 10,180
0.2664C + 10,400 - 0.3824A = 10,180
0.2664C - 0.3824A = -220
Multiplying Equation 2 by 0.3824 and substituting in the above equation, we get:
0.2664C - 0.3824(0.72C) = -220
0.2664C - 0.275328C = -220
-0.008928C = -220
C = Rs 24,625
Substituting the value of C in Equation 2, we get:
A = 0.72C = 0.72(24,625) = Rs 17,725
Substituting the values of A and C in Equation 1, we get:
B = 65,000 - A - C = 65,000 - 17,725 - 24,625 = Rs 22,650
Therefore, the amount invested in scheme B is Rs 22,650, which is option (b).
- Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively.
- Total interest earned in one year = Rs 10,180.
- Amount invested in scheme A was 72% of the amount invested in scheme C.
To find:
- Amount invested in scheme B.
Solution:
Let's assume the amount invested in schemes A, B, and C are A, B, and C respectively.
From the given information, we can form the following equations:
Equation 1: A + B + C = 65,000 (total amount invested)
Equation 2: A = 0.72C (amount invested in scheme A was 72% of the amount invested in scheme C)
Equation 3: 0.12A + 0.16B + 0.18C = 10,180 (total interest earned in one year)
Substituting Equation 2 in Equation 1, we get:
0.72C + B + C = 65,000
0.72C + C + B = 65,000
1.72C + B = 65,000
Substituting Equation 2 and Equation 3 in the above equation, we get:
1.72(1.39A) + B = 65,000
2.388A + B = 65,000
B = 65,000 - 2.388A
Now, we can substitute Equation 2 and Equation 1 in the equation for total interest earned to get:
0.12(0.72C) + 0.16B + 0.18C = 10,180
0.0864C + 0.16B + 0.18C = 10,180
0.2664C + 0.16B = 10,180
Substituting the value of B from the equation we derived earlier, we get:
0.2664C + 0.16(65,000 - 2.388A) = 10,180
0.2664C + 10,400 - 0.3824A = 10,180
0.2664C - 0.3824A = -220
Multiplying Equation 2 by 0.3824 and substituting in the above equation, we get:
0.2664C - 0.3824(0.72C) = -220
0.2664C - 0.275328C = -220
-0.008928C = -220
C = Rs 24,625
Substituting the value of C in Equation 2, we get:
A = 0.72C = 0.72(24,625) = Rs 17,725
Substituting the values of A and C in Equation 1, we get:
B = 65,000 - A - C = 65,000 - 17,725 - 24,625 = Rs 22,650
Therefore, the amount invested in scheme B is Rs 22,650, which is option (b).
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Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. 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 Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. 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 Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice Mr Uday deposited a total amount of Rs 65,000 in three different schemes A, B and C with rates of interest 12%, 16% and 18% per annum, respectively and earned a total interest of Rs 10,180 in one year. If the amount invested in scheme A was 72% of the amount invested in scheme C, then what was the amount invested in scheme B?a)Rs 25000b)Rs 22000c)Rs 18000d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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