Question
The income of P is 50% more than the expenditure of Q.
Expenditure of P is 40% less than the income of Q. If the savings of P and Q are Rs 3000 and Rs 2,500 respectively, then find the expenditure of Q.Solution
Let the income of Q be Rs. y So, expenditure of P = y X 0.6 = Rs. 0.6y Let the income of P be Rs. 1.5x So, expenditure of Q = 1.5x ÷ 1.5 = Rs .x ATQ. (1.5x - 0.6y) = 3000 ........ (I)×2 (y - x) = 2500 .......... (II) ×3 On, adding 2 X equation (I) with 3 X equation (II), we have. 1.8y = 13500 Or y = 7500 So, x = 7500 - 2500 = 5000 So, expenditure of Q = Rs 5000
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