Multiple choice

Sohan bought clothes worth Rs. 6000 and sold half of them at a profit of 10%. At what gain percent must he sell the remaining half so as to get a profit of 20% on the whole?

  1. 10%

  2. 30%

  3. 35%

  4. 40%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cost = 6000. Target profit = 20% of 6000 = 1200. Half (3000) sold at 10% profit = 300. Remaining half (3000) must yield 1200 - 300 = 900 profit. Gain % = (900/3000) * 100 = 30%.

AI explanation

Sohan bought clothes for Rs. 6000 and sells half of them, valued at Rs. 3000, at a 10% profit to earn Rs. 3300. To achieve a total 20% profit on the whole, his overall selling price must be 120% of Rs. 6000, which is Rs. 7200, meaning he must sell the remaining half for Rs. 3900. The required profit on the remaining half is Rs. 3900 minus Rs. 3000, yielding Rs. 900, which translates to exactly a 30% gain.

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