P invests Rs (X − 5000) at a compound interest rate of R% per annum for 2 years, while Q invests Rs (X + 2000) at 2R% per annum for the same period. The ratio of their investments is given to be 5 : 7. Find the difference in the compound interest earned by A and B after 2 years.

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  1. 2400
  2. 12400
  3. 5600
  4. Can’t be determined
  5. None of these

Answer (Detailed Solution Below)

Option 4 : Can’t be determined
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Calculation

So, [ X – 5000] / [ X + 2000] = 5 /7

Or, 5𝑋 + 10000 = 7X – 35000

Or, 2𝑋 = 45000

Or, 𝑋 = 22500

So, Investment of P and Q is Rs 17500 and Rs 24500 respectively.

We don’t know the value of R So, answer can’t be determined.

(d) Can’t be determined

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