Question
Anuj allocates 80% of his income to expenses, while
Bhuvan spends 70% of his income. Given that both save Rs. 4,200 each, what is the combined total expenditure of Anuj and Bhuvan?Solution
ATQ; Let the income of ‘Anuj’ be Rs. ‘100x’ and income of ‘Bhuvan’ be Rs. ‘100y’ Expense of ‘Anuj’ = 0.80 × 100x = Rs. ‘80x’ Expense of ‘Bhuvan’ = 0.70 × 100y = Rs. ‘70y’ ATQ; 100x – 80x = 4200 Or, 20x = 4200 So, x = 210 100y – 70y = 4200 Or, 30y = 4200 Or, y = 140 So, required sum = (80 × 210) + (70 × 140) = 16800 + 9800 = Rs. 26,600
- If a + b + c = 18, and a ³ + b ³ + c ³ - 3abc = 54, hen find the value of 5(ab + bc + ca).
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