Directions (49 - 53): In each of the following questions, read the given statements and compare the two given quantities and give answer.
Quantity I: Cost price, if after selling article of Rs 25,000 Marked price at 20% discount a man gains $33 \left( \dfrac {1}{3} \right)\%$.
Quantity II: Cost Price, if after selling article of Rs 16,000 marked price at 25% discount a man gains 20%
Quantity I $\ge$ Quantity II
Quantity II $\ge$ Quantity I
Quantity I = Quantity II or Relation cannot be established
Solution
Note: C.P (Cost Price), S.P (Selling Price) and M.P (Market Price)
Quantity I: Gain = $33 \left( \dfrac {1}{3} \right)\% = \dfrac {1}{3}$
CP:SP = 3 : 4
Discount $= 20\% = \dfrac {1}{5}$
MP : SP = 5 : 4
cp : sp : mp = 3 : 4 : 5
5 = 25000 hence $3 = \dfrac {3}{5} \times 25000 = 15000$
Quantity II: cp : sp : mp = 5 : 6 : 8
8 = 16000 hence 5 = 1000
So, Quantity I > Quantity II