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A sum of rupees 4420 is to be divided between raj and parth in such a way that after 5 years and 7 years respectively the amount they get is equal. The rate of interest is 10 percent. Find the share of raj and parth
  • a)
    2000, 2420
  • b)
    2420, 2000
  • c)
    2480, 2420
  • d)
    2210, 2210
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A sum of rupees 4420 is to be divided between raj and parth in such a ...
Let the share of raj and parth be R and P
R*(1+10/100)5 = (4420 – R)*(1+10/100)7
We get R = 2420, so P = 2000
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Most Upvoted Answer
A sum of rupees 4420 is to be divided between raj and parth in such a ...
Let the share of raj and parth be R and P
R*(1+10/100)5 = (4420 – R)*(1+10/100)7
We get R = 2420, so P = 2000
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Community Answer
A sum of rupees 4420 is to be divided between raj and parth in such a ...
Given:
Total amount = Rs. 4420
Rate of interest = 10%

Let the share of Raj be x
Then, the share of Parth will be (4420 - x)

According to the given condition, after 5 years and 7 years respectively, the amount they get is equal.
Let the interest earned by each person be I.
So, after 5 years, Raj's amount will be (x + I) and Parth's amount will be (4420 - x + I)
After 7 years, Raj's amount will be (x + 2I) and Parth's amount will be (4420 - x + 2I)

As per the given condition,
x + I = 4420 - x + I
2x = 4420
x = 2210

So, Raj's share is Rs. 2210 and Parth's share is Rs. (4420 - 2210) = Rs. 2210.

Therefore, the correct answer is option B) 2420, 2000.
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