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A, B and C invest together in business wherein they receive profit of Rs 63,000. A reinvests his share of profit in a scheme giving 10% rate of interest compounded annually after two years and B reinvests his share of profit which gives him 20% rate of interest compounded annually at end of two years. If interest received by A and B after 2 years is Rs 3969 and Rs 8316 then find compound interest earned by C if he reinvests his share in same scheme as A did for 2 years. 

A, B and C invest together in business wherein they receive profit of Rs 63,000. A reinvests his share of profit in a scheme giving 10% rate of interest compounded annually after two years and B reinvests his share of profit which gives him 20% rate of interest compounded annually at end of two years. If interest received by A and B after 2 years is Rs 3969 and Rs 8316 then find compound interest earned by C if he reinvests his share in same scheme as A did for 2 years.  Correct Answer Rs 5292

Formula used:

C.I= P ((1 + (r / 100)) N -1))

Where, P = Principal amount,

R = Rate of interest

N = Number of years

Calculation:

Let amount invested by A in scheme be Rs 100

⇒ A = 100 × (1 + 0.10)2

⇒ A = 121

⇒ Interest = 21

⇒ Here 21 units = 3969

⇒ 100 units = (3969 / 21) × 100

⇒ Amount invested by A in scheme = Rs 18,900

Let amount invested by B in scheme be Rs 100

⇒ A = 100 × (1 + 0.22)

⇒ A = 144

⇒ Interest = 44

⇒ 44 units = 8316

⇒ 100 units = (8316/ 44) × 100

⇒ Amount invested by B in scheme = Rs 18900

⇒ C’s profit earned = 63000 – (2 × 18900)

⇒ C’s profit earned = Rs 25200

⇒ A = 25200 × (1.10) × 1.10

⇒ A = 30492

⇒ I = Rs 5292

∴ required answer is Rs 5292

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