The ratio between the cost price of article P and R is 3:4 respective...
The ratio between the cost price of article P and R is 3:4 respectively.
Let’s assume the cost price of article P and R is 6y and 8y respectively.
The cost price of article Q is 12.5% more than the cost price of article R.
cost price of article Q = (9/8) of 8y = 9y
Article Q was marked 30% above its cost price and a 20% discount was given on it while selling.
MRP of article Q = 130% of 9y = 11.7y
SP of article Q = 11.7y of 80% = 9.36y
Discount on article Q = 11.7y - 9.36y = 2.34y Eq.(i)
The MRP of article P is Rs. 330 less than the MRP of article Q.
MRP of article P = (11.7y - 330)
The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.
(11.7y - 330) of 90% = 756
(11.7y - 330) = 840
11.7y = 840 + 330 = 1170
y = 100
CP of article R = 8y = 800
Discount on article P = (11.7y - 330) - 756
1170-1086
= 84 Eq.(ii)
Average of the discount given on article P and Q together = Eq.(i) + Eq.(ii)/2
= (234 + 84)/2
= 318/2
= 159