Ratio of price of Black pen and Red pen is 9:5 for shopkeeper A. Total amount received after selling both pens is Rs.800. Price of Red pens sold by D is 2/3^rd of price of black pens sold by A. If D sell Red and Black pens in the ratio 5:1 and his sell is equal to unsold pens of B, then find the total collection of D by selling Red pens.

Solution

Let the price of Black pen and Red pen for shopkeeper A is Rs.9 and Rs.5 respectively. Price of Black pen for shopkeeper A = 150 × 9 = Rs.1350 Price of Red pen for shopkeeper A = 50 × 5 = Rs.250 Total price for shopkeeper A = 1350 + 250 = Rs.1600 Here, 1600 ----- 800 => SP of Red pen = (800/1600) × 5 = 2.5 => SP of Black pen = (800/1600) × 9 = 4.5 Price of Red pen sold by shopkeeper D = (2/3) × 4.5 = Rs.3 Unsold pens of B = 25% of 600 = 150 Red pens sold by D = (5/6) × 150 = 125 Black pens sold by D = (1/6) × 150 = 25 Total collection of D by selling Red pens = 125 × 3 = Rs.375