The ratio of income of P to that of Q is 5 : 4 and the expenditure of P to that of Q is 3 : 2, if at the end of the year each saves Rs.1600, the income of Q is P की आय का Q की आय से अनुपात 5 : 4 है और P के व्यय का Q के व्यय से अनुपात 3 : 2 है, यदि वर्ष के अंत में प्रत्येक 1600 रु. बचाता है, Q की आय है

Let P's income = 5x and Q's income = 4x. Let P's expenditure = 3y and Q's expenditure = 2y. Savings = Income - Expenditure = 1600 for each. So 5x - 3y = 1600 and 4x - 2y = 1600. From second equation: 2x - y = 800, so y = 2x - 800. Substituting in first: 5x - 3(2x - 800) = 1600, giving 5x - 6x + 2400 = 1600, so -x = -800 and x = 800. Therefore, Q's income = 4x = 4 × 800 = Rs. 3200.