*1% discount is offered to the compound interest on Rs. 1200 at 10% p.c.p.a. for 2 years, then what will be the compound interest?*
Answers
Answer:
252
Step-by-step explanation:
CI =A-P
A = P ( 1 + r/100)^n
P = 1200; n = 2 ;r = 10
* A = 1200 (1 + r /100) = 1200 (11/10)^2 =
1200 × 121 / 100 = Rs. 1452
CI = 1452 - 1200 = Rs.252
Answer = 252
Given :- 1% discount is offered to the compound interest on Rs. 1200 at 10% p.c.p.a. for 2 years, then what will be the compound interest ?
Answer :-
we know that, when rate is compounded annually ,
- A = P[1 + (R/100)]ᵀ
- CI = A - P
Where,
- A = Amount .
- P = Principal .
- R = Rate of interest per annum .
- T = Time .
- CI = Compound interest .
so,
→ A = 1200[1 + (10/100)]²
→ A = 1200[1 + (1/10)]²
→ A = 1200 * (121/100)
→ A = Rs.1452 .
then,
→ CI = A - P = 1452 - 1200 = Rs.252 .
also, given that , 1% of discount is given ,
therefore,
→ The compound interest = (252 * 99)/100 = Rs.249.48 (Ans.)
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