A started business in 2010 with Rs. 75,000. In 2011, B joined him with

1.	A started business in 2010 with Rs. 75,000. In 2011, B joined him with Rs. 45,000, in year 2012 they both invested an additional amount of Rs. 25,000 each at the end of 3 years they earned a profit of Rs. 43800, Find A’s share in the profit?1. 40,0002. 45,0003. 30,0004. 50,0005. 16,000
Answer» Correct Answer - Option 3 : 30,000 Given∶ In year 2010 A invests Rs. 75000 In year 2011 A’s capital value is same for the whole year = Rs. 75000 In year 2012 A invests an additional amount of Rs. 25000 so total amount invested is Rs. 100000 In case of B; B joined in year 2011 with Rs. 45000 In year 2012 he also invests an additional amount of Rs. 25000 so total amount invested = is Rs. 70000 Formula used∶ (Profit)_A∶ (Profit)_B (share × Time)_A∶ (share × Time)_B Calculations∶ (Profit)_A∶ (Profit)_B [75000 × 12 + 75000 × 12 + (75000 + 25000) × 12] ∶ [45000 × 12 + (25000 + 45000) ×12] (1800 + 1200) ∶ (540 + 840) 50 ∶ 23 A’s share = 50 / (50 + 23) × 43800 ⇒ Rs. 30,000

A started business in 2010 with Rs. 75,000. In 2011, B joined him with Rs. 45,000, in year 2012 they both invested an additional amount of Rs. 25,000 each at the end of 3 years they earned a profit of Rs. 43800, Find A’s share in the profit?1. 40,0002. 45,0003. 30,0004. 50,0005. 16,000

Answer» Correct Answer - Option 3 : 30,000

Given∶

In year 2010 A invests Rs. 75000

In year 2011 A’s capital value is same for the whole year = Rs. 75000

In year 2012 A invests an additional amount of Rs. 25000 so total amount invested is Rs. 100000

In case of B; B joined in year 2011 with Rs. 45000

In year 2012 he also invests an additional amount of Rs. 25000 so total amount invested = is Rs. 70000

Formula used∶

(Profit)_A∶ (Profit)_B

(share × Time)_A∶ (share × Time)_B

Calculations∶

(Profit)_A∶ (Profit)_B

[75000 × 12 + 75000 × 12 + (75000 + 25000) × 12] ∶ [45000 × 12 + (25000 + 45000) ×12]

(1800 + 1200) ∶ (540 + 840)

50 ∶ 23

A’s share = 50 / (50 + 23) × 43800

⇒ Rs. 30,000