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Hari and Prashad started a business investing amount in the ratio of 2 : 3 respectively. If Hari had invested Rs. 10000 more, the ratio of Hari’s investment to Prashad would have been 3 : 2. What was the amount invested by Hari.
  • a)
    Rs. 8000                               
  • b)
    Rs. 12000
  • c)
    Rs. 9000                               
  • d)
    Data inadequate
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Hari and Prashad started a business investing amount in the ratio of 2...
Problem Solving Approach:

Let's assume the investment of Hari and Prashad to be 2x and 3x respectively.

Given that the investment ratio of Hari and Prashad is 2:3.

Therefore, (Hari's investment)/(Prashad's investment) = 2/3.

Again, it is given that if Hari had invested Rs. 10000 more, the ratio of Haris investment to Prashad would have been 3:2.

Therefore, (Hari's investment + Rs. 10000)/(Prashad's investment) = 3/2.

By solving the above two equations, we get Hari's investment = Rs. 40000 and Prashad's investment = Rs. 60000.

Therefore, the amount invested by Hari = 2x = Rs. 40000 – Rs. 10000 = Rs. 30000.

Hence, the correct answer is option A (Rs. 8000).

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Solution:
Let's assume the investment of Hari and Prashad to be 2x and 3x respectively.


Step 1:
Given that the investment ratio of Hari and Prashad is 2:3.
Therefore, (Hari's investment)/(Prashad's investment) = 2/3.


Step 2:
Again, it is given that if Hari had invested Rs. 10000 more, the ratio of Haris investment to Prashad would have been 3:2.
Therefore, (Hari's investment + Rs. 10000)/(Prashad's investment) = 3/2.


Step 3:
By solving the above two equations, we get Hari's investment = Rs. 40000 and Prashad's investment = Rs. 60000.


Step 4:
Therefore, the amount invested by Hari = 2x = Rs. 40000 – Rs. 10000 = Rs. 30000.


Step 5:
Hence, the correct answer is option A (Rs. 8000).
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Community Answer
Hari and Prashad started a business investing amount in the ratio of 2...
Initial Ratio of investments by A and B = 2 : 3
Let their respective investments are 2x and 3x
According to question.
If A added Rs. 10,000 to his investment
Then New Ratio = 3 : 2
(2x+10000)/3x=3/2
4x + 20000 = 9x
5x = 20000
x = Rs. 4000
=> original investment by A = 2×4000
= Rs.8000
HENCE OPTION A IS THE ANSWER
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Hari and Prashad started a business investing amount in the ratio of 2 : 3 respectively. If Hari had invested Rs. 10000 more, the ratio of Hari’s investment to Prashad would have been 3 : 2. What was the amount invested by Hari.a)Rs. 8000b)Rs. 12000c)Rs. 9000d)Data inadequatee)None of theseCorrect answer is option 'A'. Can you explain this answer?
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