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Overall Profit on Two Items

CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Profit and Loss

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Ramesh purchased two mobile phones from a shop. He sold first mobile phone at the price of ₹ 18750 and the second mobile phone at the price of ₹ 14250. If the profit percent on first mobile phone is five times of the loss percent on the second mobile phone, then find out the overall profit made by Ramesh after selling both the mobile phones, given that he purchased both at same cost.

  1. A.

    15%

  2. B.

    14%

  3. C.

    12%

  4. D.

    10%

Answer

D

Explanation

Let Cost Price of each phone = CC. Profit on 1st = 18750−C18750 - C. Loss on 2nd = C−14250C - 14250. Given: 18750−C=5(C−14250)  ⟹  18750−C=5C−71250  ⟹  6C=90000  ⟹  C=1500018750 - C = 5(C - 14250) \implies 18750 - C = 5C - 71250 \implies 6C = 90000 \implies C = 15000. Total CP = 3000030000. Total SP = 18750+14250=3300018750 + 14250 = 33000. Overall profit % = (3000/30000)×100=10%(3000/30000) \times 100 = 10\%.

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