If at same rate of interest,

If at same rate of interest, in 2 years, the simple interest is ₹40 and compound interest is ₹65, then what is the principal (in₹)?
यदि समान ब्याज दर पर, 2 वर्ष में, साधारण ब्याज ₹40 तथा चक्रवृद्धि ब्याज ₹65 है, तो मूलधन (₹ में) ज्ञात कीजिए।

11 16 20 9

Detailed Solution & Logic

Correct Answer:

16

SI = 40 CI = 65
Difference = 65 - 40 = 25
For 2 years: CI - SI = $ \frac{P r^2}{100} $
and SI = $ \frac{P r \times 2}{100} $
P = 1600
Given options are in hundreds
$ 1600 = 16 \times 100 $
Correct Answer = 16

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