Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A man purchased a box full of pencils at the rate of 7 for ₹ 9 and sold all of them at the rate of 8 for ₹ 11. In this transaction, he gained ₹ 10. How many pencils did the box contain?
(a)100
(b)112
(c)114
(d)115
Answer
Answer (as printed): B
Explanation
Suppose, number of pencils bought = L.C.M. of 7 and $8=56$. $$\begin{aligned} & \text { C.P. of } 56 \text { pencils }=₹\left(\frac{9}{7} \times 56\right)=₹ 72 . \\ & \text { S.P. of } 56 \text { pencils }=₹\left(\frac{11}{8} \times 56\right)=₹ 77 . \end{aligned}$$ Now, ₹ 5 are gained on 56 pencils. $$\text { So, } ₹ 10 \text { are gained on }\left(\frac{56}{5} \times 10\right)=112 \text { pencils. }$$
Explanation as extracted from the printed page; notation may be imperfect.