A retailer sells two items having cost prices Rs. 1200 and Rs. 1500 respectively. He offers discount of 8% on both items. The ratio between the marked price of these items is 8:9 respectively. If the total profit earned by a retailer is Rs. 428, then the difference between the marked price (in Rs) of two items is
Given, CP are Rs. 1200 and Rs. 1500
Let the MP be 8x and 9x respectively.
Then with 8% discounts, MP are (92/100)*8x and (92/100)*9x
.'. Profits are (92/100)*8x - 1200 and (92/100)*9x - 1500
Given, sum of profits = 428
⇒ (92/100)*8x - 1200 + (92/100)*9x - 1500 = 428
(23/25)*17x = 3128
x = 200
Hence, difference of marked price = 9x - 8x = x = 200
Correct Option 9)