Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
Ratio of the incomes of A, B and C last year was 3 : 4 : 5. The ratio of their individual 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 ` 78800, then find the present individual incomes of A, B and C.
Answer
Answer (as printed):
Explanation
Let the incomes of $A, B$ and $C$ last year be ₹$3x$, ₹$4x$ and ₹$5x$ respectively. Then, $A$'s present income $=₹\left(\frac{5}{4}\times 3x\right)=₹\frac{15x}{4}$. $B$'s present income $=₹\left(\frac{3}{2}\times 4x\right)=₹6x$. $C$'s present income $=₹\left(\frac{4}{3}\times 5x\right)=₹\frac{20x}{3}$. $$\therefore \quad \frac{15x}{4}+6x+\frac{20x}{3}=78800 \Rightarrow 45x+72x+80x=78800\times 12 \Rightarrow x=\frac{78800\times 12}{197}=4800.$$ Hence, $A$'s present income $=₹\left(\frac{15}{4}\times 4800\right)=₹18000$. $B$'s present income $=₹(6\times 4800)=₹28800$. $C$'s present income $=₹\left(\frac{20}{3}\times 4800\right)=₹32000$.
Explanation as extracted from the printed page; notation may be imperfect.