Two persons, A and B, invested in a business with Rs. 122400 and Rs. 81600 respectively. They agree that 40% of the profit should be divided equally among them, and the rest is divided between them according to their investment. If A got Rs. 2424 more than B, then find the total profit. (In Rs.)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 20200.
Let the total profit = P
Investment ratio = 122400 : 81600 = 3 : 2
Equal part (40%): Both get 0.2P each
Ratio part (60%): A = (3/5) × 0.6P = 0.36P and B = (2/5) × 0.6P = 0.24P
(0.2P + 0.36P) - (0.2P + 0.24P) = 2424
⇒ 0.56P - 0.44P = 2424
⇒ 0.12P = 2424
⇒ P = 2424/0.12 = 20200