Raj sold his bat at x% profit after giving a discount of x%. The marked price was Rs. 2,400 more than the cost price. And the selling price was Rs. 900 more than the cost price. Find the value of 4x.Question 16Answera.40b.200c.100d.50

Let's solve this step by step:

Step 1: Let's denote the cost price as CP, the selling price as SP, the marked price as MP, and the profit percentage and discount percentage as x.

Step 2: According to the problem, we know that MP = CP + Rs. 2400 and SP = CP + Rs. 900.

Step 3: We also know that SP = MP - MP*(x/100), because the selling price is the marked price minus the discount, which is x% of the marked price.

Step 4: Substitute MP = CP + Rs. 2400 into the equation from step 3, we get SP = CP + Rs. 2400 - (CP + Rs. 2400)*(x/100).

Step 5: Simplify the equation from step 4, we get SP = CP + Rs. 2400 - CPx/100 - Rs. 2400x/100.

Step 6: Since SP = CP + Rs. 900, we can substitute SP into the equation from step 5, we get CP + Rs. 900 = CP + Rs. 2400 - CPx/100 - Rs. 2400x/100.

Step 7: Simplify the equation from step 6, we get Rs. 900 = Rs. 2400 - CPx/100 - Rs. 2400x/100.

Step 8: Solve the equation from step 7 for x, we get x = (Rs. 2400 - Rs. 900) / (CP + Rs. 2400/100) = 1500 / (CP + 24).

Step 9: Since the problem asks for the value of 4x, we multiply the result from step 8 by 4, we get 4x = 6000 / (CP + 24).

Without the value of the cost price (CP), we cannot find the exact numerical value of 4x. However, we have expressed 4x in terms of CP, which is a solution to the problem.