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Question

If a sum when placed at compound interest grows to Rs.6,400 in 2 yrs and to Rs. 8,000 in 3 yrs, find the rate percent p.a.

A 22% Correct Answer Incorrect Answer
B 35% Correct Answer Incorrect Answer
C 32% Correct Answer Incorrect Answer
D 25% Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the principal be P. ∴ P + CI for 3 yrs = Rs. 8,000 ----- (i) And P + CI for 2 yrs = Rs. 6,400 ----- (ii) Subtracting (ii) from (i), we get CI for the 3rd yr = 8,000 – 6,400 = Rs. 1600 Thus, CI calculated in the 3rd yr is basically the interest on the amount generated after 2 yrs which is Rs. 6,400. ∴ R = `(SIxx100)/(PxxT)` = `(1600xx100)/(6400xx1)` [if gte msEquation 12]> 1600 × 100 6400 × 1 [if !msEquation]-->[endif]-->= 25 % p.a.

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