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
Sarang invested some money in HDFC
Sarang invested some money in HDFC at 4% per annum rate of interest. What would...
The simple interest accrued on a sum of Rs. 24,000 in 2…
The simple interest accrued on a sum of Rs. 24,000 in 2 years is Rs....
What sum (in ₹) will earn a simple interest of ₹240
What sum (in ₹) will earn a simple interest of ₹240 in 4 years at...
Amit invests a sum of ₹5400 and Gopal
Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the...
When invested at 10% annual simple interest, a sum becomes ₹ 3360 after 2 years. What will be the simple interest (in ₹) on the same sum for 2 years at the same rate of interest?
When invested at 10% annual simple interest, a sum becomes ₹ 3360 after 2 years....
A sum of money becomes \(\frac{7}{6}\) of itself in 3 years at a certain rate of simple interest. What is the rate per annum?
A sum of money becomes \(\frac{7}{6}\) of itself in 3 years at a certain rate...
What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 per cent per annum interest compounded yearly?
What is the compound interest on a sum of ₹25,000 after three years at a...