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An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :
- a)Rs. 52,500; Rs. 47,500
- b)Rs. 62,500; Rs. 37,500
- c)Rs. 72,500; Rs. 27,500
- d)Rs. 82,500; Rs. 17,500
Correct answer is option 'B'. Can you explain this answer?
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Solution:
Let's assume that the amount invested in the first type of shares is Rs. x and the amount invested in the second type of shares is Rs. (1,00,000 - x).
Step 1: Calculate the interest from the first type of shares:
Interest = Principal × Rate × Time
Interest from the first type of shares = x × 9% × 1
Interest from the first type of shares = 0.09x
Step 2: Calculate the interest from the second type of shares:
Interest from the second type of shares = (1,00,000 - x) × 11% × 1
Interest from the second type of shares = 0.11(1,00,000 - x)
Step 3: Calculate the total interest:
Total interest = Interest from the first type of shares + Interest from the second type of shares
9.75% × 1,00,000 = 0.09x + 0.11(1,00,000 - x)
Simplifying the equation:
9,750 = 0.09x + 11,000 - 0.11x
9,750 - 11,000 = 0.09x - 0.11x
-1,250 = -0.02x
x = -1,250 / -0.02
x = 62,500
Therefore, the amount invested in the first type of shares is Rs. 62,500 and the amount invested in the second type of shares is Rs. (1,00,000 - 62,500) = Rs. 37,500.
Hence, the correct answer is option 'B': Rs. 62,500; Rs. 37,500.
Let's assume that the amount invested in the first type of shares is Rs. x and the amount invested in the second type of shares is Rs. (1,00,000 - x).
Step 1: Calculate the interest from the first type of shares:
Interest = Principal × Rate × Time
Interest from the first type of shares = x × 9% × 1
Interest from the first type of shares = 0.09x
Step 2: Calculate the interest from the second type of shares:
Interest from the second type of shares = (1,00,000 - x) × 11% × 1
Interest from the second type of shares = 0.11(1,00,000 - x)
Step 3: Calculate the total interest:
Total interest = Interest from the first type of shares + Interest from the second type of shares
9.75% × 1,00,000 = 0.09x + 0.11(1,00,000 - x)
Simplifying the equation:
9,750 = 0.09x + 11,000 - 0.11x
9,750 - 11,000 = 0.09x - 0.11x
-1,250 = -0.02x
x = -1,250 / -0.02
x = 62,500
Therefore, the amount invested in the first type of shares is Rs. 62,500 and the amount invested in the second type of shares is Rs. (1,00,000 - 62,500) = Rs. 37,500.
Hence, the correct answer is option 'B': Rs. 62,500; Rs. 37,500.
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An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer?
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An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer?.
An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was :a)Rs. 52,500; Rs. 47,500b)Rs. 62,500; Rs. 37,500c)Rs. 72,500; Rs. 27,500d)Rs. 82,500; Rs. 17,500Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
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