Question discussion

The compound interest accrued on an amount at the end of two years at the rate of 12 p.c.p.a is Rs. 2,862. What is the amount ?

104129Medium 2 replies 1,911 views
0
The compound interest accrued on an amount at the end of two years at the rate of 12 p.c.p.a is Rs. 2,862. What is the amount ?
  • ARs. 11,250
  • BRs. 12,200
  • CRs. 13,500
  • DRs. 10,000
Answer not set
0
CCommunity
Solution
Let principal amount = $Rs. P$
=> $C.I. = P [(1 + \frac{R}{100})^T - 1]$
=> $2,862 = P [(1 + \frac{12}{100})^2 - 1]$
=> $2,862 = P [(\frac{28}{25})^2 - 1]$
=> $2,862 = P (\frac{784 - 625}{625})$
=> $2,862 = P \times \frac{159}{625}$
=> $P = \frac{2,862 \times 625}{159}$
=> $P = 18 \times 625 = Rs. 11,250$
0
CCommunity
At the end of 2 years, if you get 2862 total amount on one amount at interest rate of 12%, then what is the original amount