Abhishek purchased 140 shirts and 250 trousers @ Rs. 450 and @ Rs. 550 respectively. What should be the overall average selling price of shirts and trousers so that 40% profit is earned ? (rounded off to next integer)

Solution(By Examveda Team)

Total Cost Price
= Rs. (140 × 450 + 250 × 550)
$$\eqalign{ & = {\text{Rs}}.\left( {63000 + 137500} \right) \cr & = {\text{Rs}}{\text{. }}200500. \cr & {\text{Total Selling Price}} \cr & = {\text{Rs}}.\left( {\frac{{140}}{{100}} \times 200500} \right) \cr & = {\text{Rs}}{\text{. }}280700. \cr & \therefore {\text{Average Selling Price}} \cr & = {\text{Rs}}.\left( {\frac{{280700}}{{140 + 250}}} \right) \cr & = {\text{Rs}}.\left( {\frac{{280700}}{{390}}} \right) \cr & = {\text{Rs}}{\text{. }}719.74 \approx 720 \cr} $$