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When difference between compound

When difference between compound and simple interest for three years is ₹228 at 4% interest per annum, the principal is ₹______
यदि 4% वार्षिक ब्याज दर से तीन वर्षों के चक्रवृद्धि ब्याज का अंतर ₹228 है, तो मूलधन (₹ में) ज्ञात कीजिए।

46875 48075 47295 46300

Detailed Solution & Logic

Correct Answer:

46875

Rate = 4% , Time = 3 years
Difference between CI and SI for 3 years
CI - SI = $ P \left(\frac{r}{100}\right)^2 \left(3 + \frac{r}{100}\right) $
$ 228 = P \left(\frac{4}{100}\right)^2 \left(3 + \frac{4}{100}\right) $
$ 228 = P \times \frac{16}{10000} \times 3.04 $
$ 228 = P \times \frac{48.64}{10000} $
$ P = \frac{228 \times 10000}{48.64} $
P = 46875
Principal = ₹46875

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