Question
What is the difference in the incomes of Pooja and Payal
if their savings are Rs. 1000 and Rs. 500, respectively, and their income-to-expenditure ratios are 3:4 for Pooja and 2:3 for Payal?Solution
ATQ, Let, income of P and Q be Rs. 3x and Rs. 2x respectively. And, expenditure of P and Q be Rs. 4y and Rs. 3y respectively. According to question, 3x – 4y = 1000 ------(i) And, 2x – 3y = 500 --------(ii) After solving (i) and (ii), we get x = 1000 and y = 500 So, income of P = 3x = Rs. 3000 And, income of Q = 2x = Rs. 2000 Therefore, required difference = 3000 – 2000 = Rs. 1000
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