Multiple choice

Directions: In the question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine relationship between the two quantities and choose the appropriate option. P, Q and R started a business by investing in the ratio 11 : 21 : 31. If 31% of the total profit goes to charity and the remaining profit will be shared by them, then P's share in the profit is Rs. 75,900. Quantity 1: The total profit. Quantity 2: Rs. 6,35,000

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

P's share = (11/63) * (0.69 * Total) = 75900. (11/63) * 0.69 * T = 75900. T = 75900 * 63 / (11 * 0.69) = 6900 * 63 / 0.69 = 10000 * 63 = 630,000. Quantity 1 = 630,000. Quantity 2 = 635,000. Thus Q2 > Q1.

AI explanation

Since P, Q and R invest in the ratio 11 : 21 : 31, P's share of the distributable profit is 11 parts out of the total 63 parts. The charity receives 31 percent of the profit, leaving 69 percent to be distributed among the partners. Knowing P's share is 75900, we set up the equation: (11/63) * 0.69 * Total Profit = 75900. Solving for the total profit yields 75900 / (0.120476), which results in approximately 630000. Comparing this to Quantity 2, 635000 is greater than 630000.

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