A =
1600(21/20)3 = 2522
100 ---- 300 --- 3
900 --- 3
----
6 years
SI = 20 + 20
CI = 20 + 21
20
---- 1
100
---- ? => 5%
SI = 40 + 40
CI =
40 + 40 + 1.6 = 81.6
100 ---- 200 ---- 4
400 ---- 4
800 ---- 4
------
12 years
Let the rate be r % p.a,
Then
S. I = Rs (5000 — r/100 — 2) = Rs (100r)
C. I = Rs[5000 — (1 + r/100) 2 - 5000]
= Rs {5000 — [(1 + r/100) 2 “ 1]}
= Rs [5000 — (r2/2 + r/50)]
= Rs (r2 /2 + 100r)
(C.I) “ (S.I) = (r2/2 + 100r) “ (100r) = r2/2
Therefore, r2/2 = 72
=> r2 = 144
=> r = 12
Hence, Rate = 12 % p.a