Question

Anu, Taru and Daksh started a business. Taru invested 1/ 6 of the total money, while investments of Anu and Daksh are equal. If the profit on the end of the year is Rs. 7200, find the difference between the profit of Taru and Daksh.

1. Rs. 13,050
2. Rs. 10,000
3. Rs. 12,050
4. Rs. 11,050
5. None of these 

Answer 1

Correct Answer - Option 5 : None of these 

Given that:

Anu and Daskh are equal investments and Taru invested 1/6 of the total money.

Total profit = Rs. 7200

Formula:

Profit = time × money

The investment ratio is equal to profit ratio

Calculation:

Let the total investment was Rs. 12x

According to the question,

Investment of Taru = 1/6 of 12x = Rs. 2x

Investment of Anu and Daksh are equal i.e.  (12x – 2x )/2 = 10x / 2 = 5x

Ratio of their money = 5x : 5x : 2x = 5 : 5 : 2

Ratio of profit = Anu : Taru : Daksh = 5 : 5 : 2  → 12 unit

Now, profit = Rs. 7200

Difference between the profits of Taru and Daksh = 7200 × (5 – 2)/12

⇒ 7200 × 3/12

⇒ Rs.1800

∴ Difference between the profits of Taru and Daksh is Rs. 1800