Multiple choice

Directions: In the given question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. Isha, Payal and Lovely enter into a partnership with investments of Rs. 22,000, Rs. 41,000 and Rs. 35,000, respectively. The profit is distributed in the ratio of their investments including time and at the end of one year, they earn a total profit of Rs. 1,21,520. Quantity 1: Value of 50% of Isha's profit share Quantity 2: Value of 31% of Lovely's profit share

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
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A Correct answer
Explanation

Investment ratio: 22:41:35. Sum = 98. Isha's share = (22/98) * 121520 = 27280. 50% of Isha's = 13640. Lovely's share = (35/98) * 121520 = 43400. 31% of Lovely's = 0.31 * 43400 = 13454. 13640 > 13454, so Q1 > Q2.

AI explanation

Using the partnership principle that profit shares equal the ratio of investments, their profit ratio is 22000:41000:35000, which simplifies to 22:41:35. Isha's profit share is calculated as (22/98) of the Rs. 1,21,520 total profit, equaling Rs. 27,280, so 50% of it is Rs. 13,640. Lovely's share is (35/98) of Rs. 1,21,520, equaling Rs. 43,400, and 31% of this amount is Rs. 13,454, showing Quantity 1 is greater than Quantity 2.

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