SSC GD Constable 4 Feb 2025 Shift 1 Paper

Amount(A)=Principal(P)×(1+r∕100)n
Where n is the number of years.
Calculation:
Let Ketan's initial share be K and Tushar's initial share be T .
K+T=24700
Ketan's receiving time =22−11=11 years
Tushar's receiving time =22−12=10 years
Amount received by Ketan =K×(1+8∕100)11=K×(1.08)11
Amount received by Tushar =T×(1+8∕100)10=T×(1.08)10
Given that they receive the same amount:
‌⇒K×(1.08)11=T×(1.08)10
‌⇒K×1.08=T
Substitute T in the first equation:
‌⇒K+1.08K=24700
‌⇒2.08K=24700
‌⇒K=24700∕2.08
‌⇒K=11875
Now find T:

‌T=24700−K
‌⇒T=24700−11875
‌⇒T=12825