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A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is equal to the share of Q after 10 years. Find the share of P if rate of interest is 4% compounded annually.
  • a)
    2012
  • b)
    2029
  • c)
    2028
  • d)
    2081
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A sum of rupees 3903 is divided between P and Q such that the share of...
P*(1 + 4/100)8 = (3903 – P)*(1 + 4/100)10
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Most Upvoted Answer
A sum of rupees 3903 is divided between P and Q such that the share of...
Given:
Total sum = Rs. 3903
Rate of interest = 4%
Let the share of P and Q be x and (3903 - x) respectively.

After 8 years, the share of P will become:
x * (1 + 0.04)^8 = x * 1.3605

After 10 years, the share of Q will become:
(3903 - x) * (1 + 0.04)^10 = (3903 - x) * 1.4802

As per the given condition, both shares are equal:
x * 1.3605 = (3903 - x) * 1.4802

Solving the above equation, we get:
x = Rs. 2028

Therefore, the share of P is Rs. 2028. Hence, option C is the correct answer.
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