Final answer:
To find the percentage above the cost price (C.P.) of a watch marked with a 10% discount and 26% gain, we can calculate the C.P. using the selling price and gain percentage. After finding the C.P., we can determine the percentage above it by subtracting the C.P. from the marked price and dividing by the C.P. The percentage above the C.P. is approximately 28.57%.
Step-by-step explanation:
To find the percentage above the cost price (C.P.), we need to consider the discount and gain percentage.
Let's assume the marked price (M.P.) is 100. After allowing a 10% discount, the selling price (S.P.) becomes 90.
We are given that after allowing this discount, the seller gains 26%. Therefore, the cost price (C.P.) can be calculated by dividing the selling price by 1 plus the gain percentage: C.P. = S.P. / (1 + gain percentage).
Substituting the values, we have C.P. = 90 / (1 + 26/100) = 90 / (1.26) ≈ 71.43.
To find the percentage above the C.P., we subtract the C.P. from the marked price and divide by the C.P.: Percentage above C.P. = (M.P. - C.P.) / C.P. * 100.
Substituting the values, we have Percentage above C.P. = (100 - 71.43) / 71.43 * 100 = 28.57%.