Subject: General Aptitude · Chapter: Bar Graphs · Exam: · Marks: · Difficulty:
If the income of company Q in 2001 was 10\% more than that in 2000 and the company had earned a profit of 20\% in 2000, then its expenditure in 2000 (in crore ₹) was [SSC-CHSL (10 + 2) Exam, 2015]
(a)34.34
(b)28.28
(c)29.09
(d)32.32
Answer
Answer (as printed): D
Explanation
Income of company Q in $2000=\frac{100}{110} \times 140=₹ \frac{400}{11}$ crores If expenditure in 2000 be ₹ $x$ crores. $$\begin{aligned} & \text { Profit } \%=\left(\frac{\text { Income }- \text { Expenditure }}{\text { Expenditure }}\right) \times 100 \\ & \quad=\frac{\frac{400}{11}-x}{x} \\ & \Rightarrow \frac{20}{100}=\frac{1}{5}=\frac{400-11 x}{11 x} \\ & \Rightarrow 5 \times 400-55 x=11 x \\ & \Rightarrow 66 x=2000 \\ & \Rightarrow x=\frac{2000}{66} \\ & \quad=₹ 30.30 \text { crores } \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.