Question
Out of her monthly income of Rs. 25,000, Priya spent (Q
- 10)% on rent, (Q + 15)% on others and saved Rs. 4,500. Find Q% of her monthly income.Solution
ATQ, Priya's total income is Rs. 25,000, and she saves Rs. 4,500. So, she spends Rs.25,000−4,500=20,500. She spends (Q−10)% on rent and (Q+15)% on other expenses, totaling Rs. 20,500. The equation is = (Q−10)% × 25,000 + (Q+15)% × 25,000 = 20,500 Simplifying gives: 500Q+1250=20,500 Solving for Q: 500Q = 19,250 
I. 2x2 + 13x + 21 = 0
II. 3y2 + 34y + 63 = 0
I. 88x² - 13 x – 56 = 0
II. 15 y² + 41 y + 28 = 0
A and B are the roots of equation x2 - 13x + k = 0. If A - B = 5, what is the value of k?
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
The roots of the equations x2 + 16x + 63 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
Equation 1: x² - 45x + 500 = 0
Equation 2: y² - 60y + 600 = 0
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. x2 - 17x + 70 = 0
II. y2 - 11y + 28 = 0
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