Nested proportionvery hardFree question
A fund is worth £219m. Class A is 10.8% of it; within Class A, item B is 13.1%. What is the value of B?
A£28.69m
B£23.65m
C£52.34m
D£1.41m
E£3.10m
Worked solution
Apply the shares in turn: multiply the total by the first percentage, then multiply that result by the second. The correct answer is £3.10m. Traps to avoid: £28.69m comes from the "sub pct on total" error; £23.65m comes from the "first level only" error; £52.34m comes from the "added the percentages" error; £1.41m comes from the "decimal slip" error.
The wrong answers here have names
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