Question
A person initially spends 50% of his salary and saves
the rest. After his salary increases by 30%, he continues to save the same amount but now spends Rs. 9,000 more. Calculate his initial salary.Solution
ATQ,  Let, the initial salary of the person be Rs. '100x'.  Initial expenditure of the person = 0.50 X 100x = Rs. '50x'  Initial savings of the person = 100x - 50x = Rs. '50x'  New salary of the person = 1.30 X 100x = Rs. '130x'  Savings of the person remains the same.  So, 50x + 9000 = 130x - 50x  Or, 80x - 50x = 9000  Or, 30x = 9000  So, x = 300  So, the initial salary of the person = 100x = 100 X 300 = Rs.30,000
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
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