AFCAT I 22 Jan 2025 Shift 1 Paper

Ratio of capital of A, B and C
⇒‌

2

5

:‌

3

4

:‌

5

8

=‌

2

5

×40:‌

3

4

×40:‌

5

8

×40=16:30:25
Let initial investment of A be Rs. 16x
Initial investment of B be Rs. 30x
Initial investment of C=Rs.25x
Investment of A after 4 months = Rs. (16x+16x×50∕100)= Rs. 24x
Investment of B after 4 months =Rs.(30x+30x×25∕100)=Rs‌.37‌.5‌x
Investment of C after 4 months = Rs. (25x−25x×20∕100)= Rs. 20x
∴ Effective ratio of investment of A,B and C ,
‌⇒(16x×4+24x×8):(30x×4+37.5x×8):(25x×4+20x×8)
‌⇒256:420:260
‌⇒64:105:65
∴ Share of B in profit = Rs. 7800×105∕(64+105+65)= Rs. 7800×105∕234= Rs. 3500