Selling an item for Rs. 425 yields a profit equal to the loss incurred from selling it at Rs. 355. The item's cost is:________?
Show answer Hide answer
Answer: B. Rs. 390
Explanation
The correct answer is three hundred ninety rupees for the item cost price. The profit made at four hundred twenty-five equals the loss incurred at three hundred fifty-five. Averaging the two selling prices finds the exact midpoint cost price. Profit equals selling price minus cost price, while loss equals cost price minus selling price. Setting profit equal to loss gives four hundred twenty-five minus cost equals cost minus three hundred fifty-five. Adding the two selling prices and dividing by two gives the item cost.
Merchants use cost-price balancing to determine fair market values and profit margins. Pricing strategies in retail often analyze symmetrical price points around baseline costs. Financial accounting applies midpoint calculations when evaluating asset valuation adjustments. Option A is incorrect because it does not equal the exact midpoint of the two prices. Option C overestimates the cost price relative to the given profit and loss symmetry. Option D represents a rounded figure that fails the profit-loss equality condition.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Solve equations I. x2 + 11x + 30 = 0 and II. y2 + 15y + 56 = 0 to determine x and y?
Show answer Hide answer
Answer: B. If x > y
Solving equation one yields roots of negative five and negative six through standard factoring methods. Solving equation two yields roots of negative seven and negative eight by factoring the quadratic expression. Compar...
Q2. P finishes a job in 18 days and Q in 15 days. After Q worked for 10 days and left, how many days does P need to finish the remainder?
Show answer Hide answer
Answer: B. 6
Worker Q completes two thirds of the total job within the first ten days. The remaining one third of the task must be finished by worker P alone. Worker P requires six days to finish the remaining fraction at standard sp...
Q3. In billiards, A gives B 20 points in 60 and C 30 points in 60. How many points can B grant C in a 100-point game?
Show answer Hide answer
Answer: C. 25
A giving B twenty points in sixty means A scores sixty while B scores forty points. A giving C thirty points in sixty means A scores sixty while C scores thirty points. Scaling these relative scoring capacities to a one...
Q4. Solve equations I. x2 + 9x + 20 = 0 and II. y2 + 5y + 6 = 0 to determine x and y?
Show answer Hide answer
Answer: A. If x < y
Solving equation one yields roots of negative four and negative five via standard quadratic factoring. Solving equation two yields roots of negative two and negative three through binomial factorization. Comparing all re...
Q5. Solve equations I. x2 + 3x – 18 = 0 and II. y2 + y – 30 = 0 to determine x and y?
Show answer Hide answer
Answer: E. If x = y or the relationship between x and y cannot be established.
Quadratic equation roots can overlap across different intervals on the number line. Solving the first equation gives specific roots that intersect the roots of the second. An overlapping range prevents establishing a def...
Q6. Solve equations (i). a2 – 7a + 12 = 0 and (ii). b2 – 3b + 2 = 0 to determine a and b?
Show answer Hide answer
Answer: D. if a > b
Equation one factors into a minus three times a minus four equals zero, yielding roots three and four. Equation two factors into b minus one times b minus two equals zero, yielding roots one and two. Comparing all possib...