Shubhangi purchases two bags for Rs.840. She sells one bag at 12 % profit and…
2025
Shubhangi purchases two bags for Rs.840. She sells one bag at 12 % profit and the other bag at 8 % loss. She neither gains nor loses. Calculate the cost amount of each bag.
Answer: A. 336, 504 — Key idea: use algebra to express the no-gain/no-loss condition and solve for the costs. Let the cost of the first bag be x and the second bag be y. Then x + y…
- A.
336, 504
- B.
330, 500
- C.
256, 345
- D.
None
Attempted by 40 students.
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Correct answer: A
Key idea: use algebra to express the no-gain/no-loss condition and solve for the costs.
Let the cost of the first bag be x and the second bag be y. Then x + y = 840.
Selling price of the first bag = 1.12x (12% profit). Selling price of the second bag = 0.92y (8% loss).
No gain/no loss implies 1.12x + 0.92y = 840.
Substitute y = 840 - x into the equation: 1.12x + 0.92(840 - x) = 840.
Simplify: 1.12x + 772.8 - 0.92x = 840 → 0.20x = 67.2 → x = 336.
Then y = 840 - 336 = 504.
Therefore, the costs of the two bags are 336 and 504.