Final answer:
Ruiz's capital balance after Ola's investment will remain at P1,500,000 because the problem does not indicate any changes or recognition of bonus/goodwill as a result of the new investment, so the original capital balances are maintained.
Step-by-step explanation:
The question asks us to calculate the new capital balance of Ruiz after admitting a new partner, Ola, into the partnership. Ola is investing P2,000,000 for a 1/4 interest in the partnership. To find the new total capital of the partnership, we compute it as follows: Ola has bought a 1/4 interest for P2,000,000, which implies the total capital of the partnership after Ola's investment is P2,000,000 divided by 1/4, resulting in P8,000,000.
Now we have the total capital, we can allocate according to the new ownership percentages. Since Ola owns 1/4, the remaining 3/4 is split between Berns and Ruiz in their original 3:2 ratio. The total capital minus Ola's part is P6,000,000 (which is P8,000,000 - P2,000,000). Following the ratio, Berns will own 3/5 of P6,000,000 and Ruiz 2/5 of P6,000,000.Calculating Ruiz's share: 2/5 of P6,000,000 = P2,400,000. We are given that Ruiz's original capital balance is P1,500,000, and since the problem does not mention any bonus or goodwill to be recognised from Ola's investment, Ruiz's new capital balance remains at P1,500,000.