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The numerator and denominator can be recognized as the formulas for the sum and product of cubes and squares of three numbers, respectively: Numerator: (a³ + b³ + c³ − 3abc)
Denominator: (a2 + b2 + c2 – ab – bc − ca) By the identity: (a³ + b³ + c³ − 3abc) = (a + b + c) (a2 + b2 + c2 – ab – bc − ca) a + b + c = 8.3 + 9.2 + 6.1 = 23.6
A man spent 38% of his income in May. If his savings is increased by 20% in June and becomes Rs. 14880, then find the income of man in May.
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Out of his total income, Rahul spent 25% on rent, 35% of the remaining income on groceries, and saved 60% of the income left after his expenses.
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