The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1600, then what is the income of P1?

The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at
     the end of the year, each saves Rs.1600, then what is the income of P1?

     a)Rs.800 b) Rs.2400 c)Rs.4000 d)3200





























Expl : Let the income of P1 and P2  be Rs. 5x and Rs.4x respectively and let their
     expenditures be Rs.3y and 2y respectively.

     Then, 5x – 3y = 1600 …(i) and 4x – 2y = 1600 ……..(ii)

     On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1600 -> x = 800

     P1’s income = Rs 5*800 = Rs.4000