Question

Directions: In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

Quantity I: P and Q started a business. After eight months from the start of the business, P left and R joined. The amount invested by Q was twice that invested by P. The amount invested by R was thrice of that invested by P. Q got ₹ 252 as the share from the total annual profit earned. Find the profit share of R.

Quantity II: ₹ 280
1.

Quantity I ≤ Quantity II

2.

Quantity I ≥ Quantity II

3.

Quantity I > Quantity II

4.

Quantity I < Quantity II

5.

Cannot be determined or Quantity I = Quantity II

Answer 1

Correct Answer - Option 4 :

Quantity I < Quantity II

Quantity I:

Given:

Q's share of profit = ₹ 252 

Calculation:

Let the Amount invested by P is ₹ P

and the Amount invested by Q is ₹ 2P

So, the amount invested by R is ₹ 3P

P did investment for 8 months

Q did investment for 12 months

R did investment for 4 months

Profit ratio = (P × 8) : (2 × P × 12) : (3 × P × 4)

⇒ Profit ratio = 8P : 24P : 12P

⇒ Profit ratio = 2 : 6 : 3

Q share in terms of ratio = 6

The actual share of Q = 252

Profit share of R = (252/6) × 3 = 126

Quantity II:

₹ 280

∴ Quantity I < Quantity II