Question

A man purchased a box full of pencils at the rate of 7 for Rs. 9 and sold all of them at the rate of 8 for Rs. 11. In this transaction, he gained Rs. 10. How many pencils did the box contain?

• A. 115

• B. 110

• C. 112

• D. 114

• E. 119

Answer 1

Answer: (C)

The correct option is B

112

Suppose, number of pencils bought = L.C.M. of 7 and 8 = 56.

C.P. of 56 pencils = Rs. $\left(\frac{9}{7}\times 56\right)$= Rs. 72.

S.P. of 56 pencils = Rs. $\left(\frac{11}{8}\times 56\right)=Rs.77$

Now, Rs. 5 are gained on 56 pencils.

So, Rs. 10 are gained on $\left(\frac{56}{5}\times 10\right)=112pencils.$