Question

Tina and Meera started a business with ₹1,00,000 and ₹80,000 respectively. After 6 months, Meera added ₹40,000 more. Tina withdrew ₹20,000 at the same time. What is the profit-sharing ratio at the end of 1 year?

• A. 9 : 10
• B. 5 : 6
• C. 7 : 4
• D. 2 : 3

Answer 1

Answer:

A. 9 : 10

Profit share is proportional to Capital × Time.

Tina

• First 6 months: ₹1,00,000
  [
  1,00,000 \times 6 = 6,00,000
  ]

• Next 6 months after withdrawing ₹20,000:
  New capital = ₹80,000
  [
  80,000 \times 6 = 4,80,000
  ]

Total for Tina:
$6,00,000 + 4,80,000 = 10,80,000$

---

Meera

• First 6 months: ₹80,000
  $80,000 \times 6 = 4,80,000$
  

• Next 6 months after adding ₹40,000:
  New capital = ₹1,20,000
  $1,20,000 \times 6 = 7,20,000$

Total for Meera:

4,80,000 + 7,20,000 = 12,00,000

---

Profit-sharing ratio

10,80,000 : 12,00,000

Divide by (1,20,000):

9:10

$\boxed{9:10}$