Directions: Given below are two quantities named I and II. Based on th

1.	Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: Rs. 7, 000 is divided between X and Y in the ratio 2 : 3.What is the difference between thrice the share of X and the share of Y?Quantity II: A sum of money Rs. 1, 25, 000 is divided among 4 persons P, Q, R and S. It is divided in such a way that P’s share is (1 / 3)rd of Q's share, R's share is Rs. 25000 and S’s share is equals to P’s share. Find the share of Q.1. Quantity I ≤ Quantity II2. Quantity I ˃ Quantity II3. Quantity I ≥ Quantity II4. Quantity I ˂ Quantity II5. Quantity I = Quantity II
Answer» Correct Answer - Option 4 : Quantity I ˂ Quantity II Quantity I: X’s share = Rs. [7000 × (2/5)] ⇒ Rs. 2800 Y’s share = Rs. [7000 × (3/5)] ⇒ Rs. 4200 Thrice the share of X = Rs. 8400 ⇒ Difference between thrice the share of X and the share of Y = Rs. 8400 - Rs. 4200 = Rs. 4200 Quantity II: Let the Q's share be Rs. x P's share + Q's share + R's share + S's share = 1, 25, 000 ⇒ (x/3) + x + 25, 000 + [x/3] = 1, 25, 000 ⇒ (5x/3) + 25000 = 1, 25, 000 ⇒ 5x/3 = 1, 25, 000 - 25000 ⇒ 5x = 3, 00, 000 ⇒ x = 60, 000 ∴ Quantity I < Quantity II

Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: Rs. 7, 000 is divided between X and Y in the ratio 2 : 3.What is the difference between thrice the share of X and the share of Y?Quantity II: A sum of money Rs. 1, 25, 000 is divided among 4 persons P, Q, R and S. It is divided in such a way that P’s share is (1 / 3)rd of Q's share, R's share is Rs. 25000 and S’s share is equals to P’s share. Find the share of Q.1. Quantity I ≤ Quantity II2. Quantity I ˃ Quantity II3. Quantity I ≥ Quantity II4. Quantity I ˂ Quantity II5. Quantity I = Quantity II

Answer» Correct Answer - Option 4 : Quantity I ˂ Quantity II

Quantity I:

X’s share = Rs. [7000 × (2/5)] ⇒ Rs. 2800

Y’s share = Rs. [7000 × (3/5)] ⇒ Rs. 4200

Thrice the share of X = Rs. 8400

⇒ Difference between thrice the share of X and the share of Y = Rs. 8400 - Rs. 4200

= Rs. 4200

Quantity II:

Let the Q's share be Rs. x

P's share + Q's share + R's share + S's share = 1, 25, 000

⇒ (x/3) + x + 25, 000 + [x/3] = 1, 25, 000

⇒ (5x/3) + 25000 = 1, 25, 000

⇒ 5x/3 = 1, 25, 000 - 25000

⇒ 5x = 3, 00, 000

⇒ x = 60, 000

∴ Quantity I < Quantity II