Question

Ratio of the incomes of A, B and C last year was 3 : 4 : 5 The ratio of their individuals incomes of the last year and this year are 4 : 5, 2 : 3 and 3 : 4 respectively If the sum of their present incomes is Rs 78800 then find the present individual income of A, B and C

• A. Rs 10000, Rs 40000, Rs 28800
• B. RS 18000, Rs 28800, Rs 32000
• C. Rs 45000, Rs 12800, Rs 21000
• D. RS 20000, Rs 14600, Rs 44200

Answer 1

The correct option is B RS 18000, Rs 28800, Rs 32000

Let the incomes of A,B and C last year be Rs 3x, Rs 4x and Rs 5x respectively. A's income last year: this year = 4:5 $\therefore$ A's income this year $=\frac{5}{4}\times Rs3x=\frac{Rs15x}{4}$ B's income this year : this year =2:3
$\therefore B^{\prime }s$ income last year : this year = 3 : 4
$\therefore C^{\prime }s$ income this year $=\frac{4}{3}\times Rs5x=Rs\frac{20x}{3}\therefore$ Ratio of present incomes of A,B,C
=$=\frac{15x\times 12}{4}:6x\times 12:\frac{20x\times 12}{3}=45:72:80$
Given, $45x+72x+80x=78800\Rightarrow 197x=78800\Rightarrow x=\frac{78800}{197}=400\therefore A^{\prime }s$ present income $45\times 400=Rs18000B^{\prime }s$ present income $=72\times 400=Rs28800C^{\prime }s$ present income $=80\times 400=Rs32000$