A sum of ₹5,19,500 is borrowed at
A sum of ₹5,19,500 is borrowed at \(7\frac{4}{5}\)% per annum compound interest and paid back in 2 years in two equal annual instalments. Find the instalment?
₹5,19,500 की राशि, \(7\frac{4}{5}\)% प्रति वर्ष चक्रवृद्धि ब्याज दर पर उधार ली गई और दो समान वार्षिक किस्तों में 2 वर्षों में वापस इसका भुगतान किया गया। किस्त ज्ञात कीजिए?
Detailed Solution & Logic
₹2,90,521
Principal P = 519500
Rate = $ 7\frac{4}{5}% = \frac{39}{5}% = 7.8% $
$ r = \frac{7.8}{100} = 0.078 $
Let each annual instalment = x
Present value of instalments = Principal
$ \frac{x}{(1+r)} + \frac{x}{(1+r)^2} = 519500 $
$\frac{x}{1.078} + \frac{x}{(1.078)^2} = 519500 $
$ (1.078)^2 = 1.162084 $
$ x (\frac{1}{1.078} + \frac{1}{1.162084}) = 519500 $
$ x (0.9276 + 0.8605) = 519500 $
$ x (1.7881) = 519500 $
$ x = \frac{519500}{1.7881} \approx 290521 $
Answer: ₹2,90,521 ✅
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