The Selling price and marked price of an article is Rs. 150 and Rs. 300 more than its Cost price respectively

The Selling price and marked price of an article is Rs. 150 and Rs. 300 more than its Cost price respectively. If profit percentage of the article is 1.5 times the discount percent, then find the Cost price of the article?

a. 300

b. 600

c. 900

d. 450

e. 750

 Sol:

Let MP, CP and SP of the article is X, Y and Z

respectively

Z – Y = 150 ——–(1)

X – Y = 300 ——–(2)

X – Z = 150 ——–(3)

According to question,

(Z – Y)/Y * 100 = (X – Z)/X * 3/2 * 100

150/Y = 3/2 * 150/X

X/Y = 3/2 and therefore X = 3/2Y

From Equation (2),

3Y/2 – Y = 300

Y = Rs. 600