A man buys two books for a total of Rs. 410 and sells both at the exact same price. One gives him a profit of 15\% and another a loss of 10\% . The co - Mathematics and Science MCQ UPTET Paper 2 (Maths & Science) 2026 | ExamTest.live

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A man buys two books for a total of Rs. 410 and sells both at the exact same price. One gives him a profit of 15% and another a loss of 10% . The cost price of both books is

Solution & Step-by-step Explanation

Let the cost price of the first book be x and the second book be y .Given: x + y = 410 ⟹ y = 410 - x The selling prices (SP) of both books are equal: SP_{1} = 1.15 x SP_{2} = 0.90 y 1.15 x = 0.90 (410 - x) 1.15 x = 369 - 0.90 x 1.15 x + 0.90 x = 369 2.05 x = 369 ⟹ x = \frac{369}{2.05} = 180 Now calculate y : y = 410 - 180 = 230 The cost prices are Rs. 180 and Rs. 230 .

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A man buys two books for a total of Rs. 410 and sells both at the exact same price. One gives him a profit of 15% and another a loss of 10% . The cost price of both books is

Rs. 110, Rs. 260

Rs. 120, Rs. 290

Rs. 180, Rs. 230

None of these

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