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 ✅
Similar Practice Questions
The amount on a sum of ₹2,400 at 20%
The amount on a sum of ₹2,400 at 20% per annum compound interest, compounded annually,...
Yogesh invested a certain amount of money in HDFC at an annual interest rate of 4%. If after 2 years, he receives ₹229.5 as compound interest compounded annually, what would be the corresponding simple interest (in ₹)?
Yogesh invested a certain amount of money in HDFC at an annual interest rate of...
How much will the interest be for Rs.1900 at 9% per annum for 3 year?
How much will the interest be for Rs.1900 at 9% per annum for 3 year?...
₹500 is invested at 12% per annum simple interest, and a certain sum is invested at 10% per annum simple interest. If the total interest on both sums after 4 years is ₹480, what is the second sum?
₹500 is invested at 12% per annum simple interest, and a certain sum is invested...
A sum invested at 5% simple interest
A sum invested at 5% simple interest per annum grows to ₹806 in 6 years....
What is the amount, including the interest, if ₹45,000
What is the amount, including the interest, if ₹45,000 is invested for 3 years at...
If ₹2,000 is invested for 3 years at 6% compound interest per…
If ₹2,000 is invested for 3 years at 6% compound interest per annum, what will...