A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What… · ABC26GN1128

Subject: General Aptitude · Chapter: Simplification

A waiter's salary consists of his salary and tips. During one week his tips were $\frac{5}{4}$ of his salary. What fraction of his income came from tips?

(a)$\frac{4}{9}$

(b)$\frac{5}{4}$

(c)$\frac{5}{8}$

(d)$\frac{5}{9}$

Answer

Answer (as printed): D

Explanation

Let salary $=₹ x$. Then, tips $=₹\left(\frac{5}{4} x\right)$. $$\begin{aligned} & \text { Total income }=₹\left(x+\frac{5}{4} x\right)=₹\left(\frac{9 x}{4}\right) . \\ & \therefore \quad \text { Required fraction }=\left(\frac{5 x}{4} \times \frac{4}{9 x}\right)=\frac{5}{9} . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Simplification

1. Practise the PYQsPrevious-year questions, with answers

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