Multiple choice

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: Jony, Sandeep and Shilpa started a business with initial investments of Rs. 18000, Rs. 24000 and Rs. 30000 respectively. In this business Jony does most of the work so he gets 16% of the profit to supervise the business and rest of the profit is shared among them in the ratio of their investments. Find the profit share of Jony out of the total profit of Rs. 17000 Quantity II: Prashant and Priya started a business with initial investments of Rs. 12000 and Rs. 15000 respectively. After six months, Prashant invested an additional amount equal to half of his initial investments and Priya withdrew 20% of his initial investment. Find the profit share of Prashant out of the total profit of Rs. 11913 after one year.

  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Jony's supervision bonus = 16% of 17000 = 2720. Remaining profit = 17000 - 2720 = 14280, shared in investment ratio 18000:24000:30000 = 3:4:5. Jony's share from remaining = (3/12) × 14280 = 3570. Total Jony = 2720 + 3570 = 6290. Quantity II: Prashant's effective investment = 12000 × 6 + 18000 × 6 = 72000. Priya's = 15000 × 6 + 12000 × 6 = 162000. Ratio = 72000:162000 = 4:9. Prashant's share = (4/13) × 11913 = 3666. Since 6290 > 3666, Quantity I > Quantity II is correct.

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