Multiple choice

The percentage profit earned by selling an article for Rs.1800 is equal to the percentage loss incurred by selling the same article at Rs.1400. At what price should the article be sold to make a profit of 35%. एक वस्तु को 1800 रू. में बेचने पर हुआ लाभ 1400 रू. में बेचने पर हुई हानि के बराबर है। तो 35% लाभ प्राप्त करने के लिए वस्तु का विक्रय मूल्य कितना होगा?

  1. Rs.2060

  2. Rs.2760

  3. Rs.2160

  4. Rs.2560
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. Profit % at Rs.1800 equals Loss % at Rs.1400, so (1800-x)/x = (x-1400)/x. This gives 1800 - x = x - 1400, so 2x = 3200 and x = Rs.1600. For 35% profit, SP = 1600 × 1.35 = Rs.2160. The cost price is exactly midway between the two selling prices when profit% equals loss%.

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