Question
The income of 'Q' surpasses that of 'S' by a suffering
4000%. The expenses of 'Q' and 'S' are in a ratio of 125:12. 'Q' has savings that exceed those of 'S' by Rs. 3,89,600, and 'Q' spends Rs. 90,400 more than 'S.' What is the income of 'S'?"Solution
ATQ, We can say that the income of S be Rs. ‘x’ So, income of Q = (x + x) × (4000/100) = Rs. ‘41x’ Let the expenses of 'S' be ‘12y’ So, expenses of Q = 12y × (125/12) = Rs. ‘125y’ ATQ; 125y – 12y = 90,400 Or, 113y = 90400 So, y = 800 So, 41x – 800 × 125 = 3,89,600 + x – (12 × 800) Or, 40x = 3,89,600 + 100000 – 9600 Or, 40x = 480000 So, x = 12000 So, income of S = Rs. 12,000
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