Multiple choice

A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs.2 less, the he would have gained 16(2/3) %. The cost price of the commodity is? एक व्यापारी एक वस्तु को 10% लाभ पर बेचता है,यदि वह वस्तु को 10% कम मूल्य पर खरीदता और 2 रु कम में बेचता तो उसे 16(2/3)% लाभ होता,तो वस्तु का लागत मूल्य ज्ञात कीजिये|

  1. 40

  2. 56

  3. 75

  4. 85

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. First SP = 1.1x. New CP = 0.9x, new SP = 1.1x - 2. New profit = 16(2/3)% = 50/3%. So (1.1x - 2 - 0.9x) / 0.9x = 50/300 = 1/6. This gives (0.2x - 2)/0.9x = 1/6, solving x = 40. Option A is correct.