Multiple choice

Sonali bought two phones Vivo and Lenovo for Rs. 14,250 in all. She sold Vivo phone at a profit of 10% and Lenovo phone at a loss of 20%. If she sold both the phones at the same price, then what is the difference between the cost prices of both the phones?

  1. Rs. 2,225

  2. Rs. 2,275

  3. Rs. 2,205

  4. Rs. 2,250

  5. Rs. 2,200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let C1 and C2 be costs. C1 + C2 = 14250. 1.1 * C1 = 0.8 * C2. C2 = 1.1/0.8 * C1 = 1.375 * C1. 2.375 * C1 = 14250. C1 = 6000. C2 = 8250. Difference = 2250.

AI explanation

Let the cost price of Vivo be V, so Lenovo's cost price is (14250 - V). Setting the selling prices equal gives 1.10V = 0.80(14250 - V). Solving this equation, 1.10V + 0.80V = 11400, resulting in 1.90V = 11400 and V = 6000. The cost price of Lenovo is 14250 - 6000 = 8250, making the difference 8250 - 6000 = 2250.

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