2015 · Q84
A, B and C started their independent businesses with equal amounts of capital. During the first year A made 10% profit, B incurred 10% loss and C made a profit of 5%. In the second year A incurred 20% loss, B made profit of 20% and C made profit of 5%. Which of the following is FALSE at the end of second year?
general-mental-abilityquantitative-aptitude
- A'C' is the richest
- B'A' is the poorest
- C'B' is the richest
- D'C' is richer than 'B'
Explanation
Taking initial capital as 100 each: A ends with 100 x 1.10 x 0.80 = 88, B with 100 x 0.90 x 1.20 = 108, and C with 100 x 1.05 x 1.05 = 110.25. So C is the richest and A the poorest, both true statements, and C is richer than B, also true. The statement that B is the richest is false. Hence 'B is the richest' is the FALSE statement.