Question

Sid bought 10 pens for ₹ 120 and sold those pens for ₹ 14 each. While Sam bought the same 10 pens for ₹ 150 and sold all the pens for ₹ 200. Find the ratio of profit between Sid and Sam.

• A. 2 : 3
• B. 2 : 5
• C. 3 : 2
• D. 5 : 2

Answer 1

The correct option is B 2 : 5

For Sid,
C.P. of 10 pens = ₹ 120
and S.P. of 1 pen = ₹ 14
So, S.P of 10 pens = 10 $\times$ 14 = ₹ 140
Profit made = 140 - 120 = ₹ 20

For Sam,
C.P. of 10 pens = ₹ 150
and S.P. of 10 pens = ₹ 200
Profit made = 200 - 150 = ₹ 50

So, ratio of profit between Sid and Sam
= 20 : 50
= $\frac{20}{50}$
= $\frac{2}{5}$
= 2 : 5