Question

The partners A & B together lent Rs 3903 at 4 % p.a. interest compounded
annually. After a span of 3 years, A gets the same amount as B gets after 9 years.
A's share is
a) 2028
b) 2180
c) 2280
d) 2820

Answer 1

Answer:

B) 2180

Step-by-step explanation:

assume A's share = X

A's interest after 3 year: X(1 + 4/100)^3

= X * 1.1245

B's share = 3903 - X

B's interest after 9 year = (3903 - X) (1 + 4/100)^9

=(3903 -X ) * 1.423

these both are equal

=> X * 1.1245 = (3903 -X ) * 1.423

=> X * 1.1245 = 5553.969 - X * 1.423

=> X * 1.1245 + X * 1.423 = 5553.969

=> X * 2.548 = 5553.969

=> X = 5553.969/2.548

=> X = 2179.737

=> X = 2180 (APPROX)