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
In the questions, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose th...
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
I. (y – 5)2 – 9 = 0
II. x2 – 3x + 2 = 0
I. x2 – 36 = 0
II. y2 - 7y + 6 = 0
I. 2y² - 11 y + 15 = 0
II. 2x² + 3x – 14 = 0
I. x² - 33x + 270 = 0
II. y² - 41y + 414 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 11x² - 93x + 88 = 0
Equation 2: 13y² + 118y + 93 = 0
l). p² - 29p + 204 = 0
ll). q² + 4q - 221 = 0
Between what values of x is the expression 19x - 2x2Â - 35 positive?
I). p2 + 17p - 234 = 0
II). q2 - 21q + 108 = 0
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