Multiple choice

A flat and a piece of land were bought by two friends Raghav and Sita, respectively, at prices of Rs. 2 lakh and Rs. 2.2 lakh. The price of the flat rose by 20 per cent every year and that of the land rose by 10 per cent every year. After two years, they decided to exchange their possessions. What was the percentage profit of the one who gained?

  1. 7.56%

  2. 6.36%

  3. 4.39%

  4. 8.1%

  5. 10.3%

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

Flat: 2 * (1.2)^2 = 2.88 lakh. Land: 2.2 * (1.1)^2 = 2.662 lakh. After exchange, Raghav has land worth 2.662 and Sita has flat worth 2.88. Raghav's gain = 2.662 - 2 = 0.662 (33.1%). Sita's gain = 2.88 - 2.2 = 0.68 (30.9%). The question asks for the profit of the one who gained (presumably the net gain relative to initial investment). The calculation leads to 8.1% gain for the person who received the flat.