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Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
  • a)
    Rs. 4800
  • b)
    Rs. 5400
  • c)
    Rs. 5000
  • d)
    Rs. 5600
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to ...
Let the investment in 9% stock be Rs.x        Then,investment in 10% stock    = Rs.(9800−x)        
9/75 × x = 10/80 × (9800−x)        
⇒ 3x/25 = (9800−x)/8
⇒24x = 9800 × 25 − 25x        
⇒ 49x = 9800×25        
⇒x = 5000
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Most Upvoted Answer
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to ...
Investment in 9% stock at 75 and 10% stock at 80 to have equal amounts of incomes.

To solve this problem, we can use the concept of weighted average.

Let's assume that the investment in the 9% stock at 75 is x rupees. Then, the investment in the 10% stock at 80 would be (9800 - x) rupees.

The income from the 9% stock at 75 is given by (x * 9/100) and the income from the 10% stock at 80 is given by ((9800 - x) * 10/100).

According to the problem, the incomes from both stocks should be equal. So, we can set up the following equation:

(x * 9/100) = ((9800 - x) * 10/100)

Simplifying this equation, we get:

9x = (9800 - x) * 10

9x = 98000 - 10x

Adding 10x to both sides and rearranging the equation, we get:

19x = 98000

Dividing both sides by 19, we find:

x = 98000/19

x ≈ 5157.89

So, the investment in the 9% stock at 75 is approximately 5157.89 rupees.
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Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:a)Rs. 4800b)Rs. 5400c)Rs. 5000d)Rs. 5600Correct answer is option 'C'. Can you explain this answer?
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Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:a)Rs. 4800b)Rs. 5400c)Rs. 5000d)Rs. 5600Correct answer is option 'C'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:a)Rs. 4800b)Rs. 5400c)Rs. 5000d)Rs. 5600Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:a)Rs. 4800b)Rs. 5400c)Rs. 5000d)Rs. 5600Correct answer is option 'C'. Can you explain this answer?.
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