Question Bank › General Aptitude › Percentage › ABC26GN2281ABC26GN2281 · Percentage Subject: General Aptitude · Chapter: Percentage · Exam: 2009 · Marks: · Difficulty:
Aman's expense is 30\% more than Vimal's and Vimal's expense is 10\% less than Raman's. If the sum of their expenses is ₹ 6447, then what would be Aman's expense?
(a) ₹ 1890
(b) ₹ 2100
(c) ₹ 2200
(d) ₹ 2457
(e) None of these
Answer Explanation Let Raman's expense be ₹ $x$. Then, Vimal's expense $=90 \%$ of $₹ x=₹\left(\frac{90}{100} \times x\right)=₹ \frac{9}{10} x$. Aman's expense $=130 \%$ of $₹\left(\frac{9 x}{10}\right)=₹\left(\frac{130}{100} \times \frac{9 x}{10}\right)=₹ \frac{117 x}{100}$. $$\begin{aligned} \therefore \frac{117 x}{100}+\frac{9 x}{10}+x=6447 & \Rightarrow \frac{117 x+90 x+100 x}{100}=6447 \\ & \Rightarrow 307 x=644700 \\ & \Rightarrow x=\frac{644700}{307}=2100 \end{aligned}$$ Hence, Aman's expense $=₹\left(\frac{117 \times 2100}{100}\right)=₹ 2457$.
Explanation as extracted from the printed page; notation may be imperfect.
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