Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
A boundary wall around a rectangular plot is constructed at a total cost of ₹ 46000 at the rate of ₹ 200 per metre. What is the area of the plot if the respective ratio between the bradth and the length of the plot is 10 : 13? (in sq. metre) [United India Insurance (UIICL) Assistant (Online) Exam, 2015]
(a)3750
(b)3250
(c)3000
(d)3900
Answer
Answer (as printed): B
Explanation
Total cost to construct a boundary wall around a rectangular plot $=₹ 46000$ Rate of construction per meter $=₹ 200$ Perimeter of rectangular plot $=\frac{46000}{200}=230 \mathrm{m}$ Let length and breadth of rectangular plot be $13 x$ meter and $10 x$ meter respectively $$\begin{aligned} & \therefore 2(13 x+10 x)=230 \\ & \Rightarrow 2 \times 23 x=230 \\ & \Rightarrow x=\frac{230}{2 \times 23}=5 \end{aligned}$$ ∴ Length $=13 \times 5=65 \mathrm{m}$