Given: Cost price of item = X Selling price of item = Y Profit = 60% Calculation: selling price = (cost price) × (100 + profit%)/100 Y = X (100 + 60)/100 ⇒ X × (1.60) = Y Now, According to question ⇒ X × (0.8) × (1.2) = (Y - 80) ⇒ Y = 1.60X = 1.60 × (Y - 80)/(0.8 × 1.2) = 5/3 × (Y - 80) ⇒ 3Y = 5Y - 400 ⇒ Y = 200 ∴ The required result will be 200. [ alt="608a49e71a3aa420010f8e50 16309327759611" height="46px" src="//storage.googleapis.com/tb-img/production/21/09/608a49e71a3aa420010f8e50_16309327759611.png" width="240px"> Let the value of X be 100 units According to the question, Item is sold at the profit of 60% Y = X + 60/100 × X ⇒ Y = 100 + 60/100 × 100 ⇒ Y = 160 units If X has been lower by 20% then New value of X 100 - 20/100 × 100 = 80 units Profit earned is 20% New value of Y 80 + 20/100 × 80 = 96 units Now the value of is Rs. 80 less so, (160 - 96) units = Rs. 80 ⇒ 64 units = Rs 80 ⇒ 1 units = Rs. 80/64 ⇒ 160 units = Rs. 80/64 × 160 = Rs. 200 ∴ value of Y is Rs. 200