Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
Mr. X has some money with him. He has to distribute the amount among five labourers in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{7}$. What is the minimum amount he should have, so that each labourer gets an exact number of rupees?
(a)₹ 358
(b)₹ 420
(c)₹ 512
(d)₹ 599
Answer
Answer (as printed): D
Explanation
L.C.M. of 2, 3, 4, 5, $7=420$. Given ratio $=\frac{1}{2}: \frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{7}$ $=\left(\frac{1}{2} \times 420\right):\left(\frac{1}{3} \times 420\right):\left(\frac{1}{4} \times 420\right):\left(\frac{1}{5} \times 420\right):\left(\frac{1}{7} \times 420\right)$ $=210: 140: 105: 84: 60$ ∴ Required minimum amount = Sum of ratio terms $=₹(210+140+105+84+60)=₹ 599$.
Explanation as extracted from the printed page; notation may be imperfect.