A, B, C enter into a partnership. A puts ₹ 4,000 for the whole year, B puts ₹ 4750 first and changes his contribution to ₹ 3500 at the end of 8 months, while C puts ₹ 5,000 for the whole year. If annual profit is ₹ 1,00,000, which of the following is true?

A. The ratio of profit of A : B : C is 12 : 13 : 15.
B. Combined profit of A and C is ₹ 62,500.
C. Profit earned by B is greater than profit earned by C.
D. Combined profit of B and C is ₹ 70,000.
E. Money invested by B is ₹ 52,000 for whole year.

Choose the correct answer from the options given below:

A, D, E only

The correct answer is Option (3) → A, D, E only

$\text{A: } 4000 \times 12 = 48000$

$\text{B: } 4750 \times 8 + 3500 \times 4 = 38000 + 14000 = 52000$

$\text{C: } 5000 \times 12 = 60000$

$\text{Ratio} = 48000 : 52000 : 60000 = 12 : 13 : 15$

$\text{Total parts} = 40$

$\text{A+B+C profit} = 100000$

$\text{A+C} = (12+15)\times2500 = 27\times2500 = 67500$

$\text{B} = 13\times2500 = 32500,\;\; \text{C} = 15\times2500 = 37500$

$\text{B+C} = 70000$

$\text{Check statements:}$

$\text{A: True}$

$\text{B: False (67500 ≠ 62500)}$

$\text{C: False (32500 < 37500)}$

$\text{D: True}$

$\text{E: True (B investment = 52000)}$

Correct statements are A, D and E.