Shailja earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of the two… · ABC26GN2743
Subject: General Aptitude · Chapter: Profit and Loss · Exam: S.S.C. 2006
Shailja earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of the two investments is 3 : 5, then the combined loss percent is
(a)$\frac{5}{8}$
(b)$\frac{8}{5}$
(c)$\frac{4}{5}$
(d)$\frac{5}{4}$
Answer
Answer (as printed): A
Explanation
Let the two investments be ₹ $3 x$ and ₹ $5 x$ respectively. Then, total investment $=₹(3 x+5 x)=₹ 8 x$. Total output $=₹(115 \%$ of $3 x+90 \%$ of $5 x)$ $=₹(3.45 x+4.5 x)=₹ 7.95 x$. Loss $=₹(8 x-7.95 x)=₹ 0.05 x$. $$\text { ∴ Loss percent }=\left(\frac{0.05 x}{8 x} \times 100\right) \%=\frac{5}{8} \% \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.