If a trader purchased a few items and sold all except 10 items at a profit of 10% on each item and recovered his total cost of purchasing all the items, how many items did the trader purchase?A) 90B) 100C) 110D) 120
Q. If a trader purchased a few items and sold all except 10 items at a profit of 10% on each item and recovered his total cost of purchasing all the items, how many items did the trader purchase?A) 90B) 100C) 110D) 120
Calculate Selling Price: He sold n−10 items at a 10% profit.So each item is sold for c+0.1c (which is 1.1c).
Equation Setup: The total revenue from selling n−10 items is (n−10)×1.1c. This revenue equals the total cost, which is n×c. So, we have the equation (n−10)×1.1c=n×c.
Simplify Equation: Let's simplify the equation:1.1c(n−10)=nc1.1cn−11c=nc
Isolate Variable: Now, we subtract 1.1cn from both sides to isolate c: −11c=nc−1.1cn −11c=c(n−1.1n)
Solve for n: Divide both sides by 'c' to solve for 'n':−11=n−1.1n−11=−0.1n
Final Calculation: Now, divide both sides by −0.1 to find n:n=−0.1−11n=110
More problems from Write and solve direct variation equations