GMAT Club Official Solution:A concert venue’s ticket revenue increased by 15% from 2023 to 2024, while its operating costs increased by 10% over the same period. If net income is defined as ticket revenue minus operating costs, by what percent did the venue’s net income increase from 2023 to 2024?Let R be the venue’s ticket revenue in 2023, and let C be its operating costs in 2023.
The net income in 2023 was R - C
The net income in 2024 was 1.15R - 1.10C
The increase in net income was (1.15R - 1.10C) - (R - C) = 0.15R - 0.10C
The question asks for the percent increase in net income (0.15R - 0.10C)/(R - C) * 100
(1) The venue’s net income in 2023 was $120,000.
This gives R - C = 120,000, which is not enough to get the value of (0.15R - 0.10C)/(R - C) * 100.
Not sufficient.
(2) In 2023, the venue’s ticket revenue was twice its operating costs.
This gives R = 2C.
Substitute into the expression:
(0.15R - 0.10C)/(R - C) =
= (0.15 * 2C - 0.10C)/(2C - C) =
= 0.20C/C
= 0.20
So the venue’s net income increased by 20%.
Sufficient.
Answer: B.