Question

Abhi, Bhanu and Chetan started a business. Abhi invested four times as much as Bhanu’s investment and the investment of Chetan was x% less than that of Bhanu. At the end of one year, total profit of Rs. 7000 was earned, in which share of Abhi was Rs. 5000. What was the difference between share of Bhanu and Chetan?

1. Rs. 1000
2. Rs. 800
3. Rs. 600
4. Rs. 500
5. None of these

Answer 1

Correct Answer - Option 4 : Rs. 500

Given

Abhi investment = 4 × Bhanu’s investment

Chetan’s investment = Bhanu’s investment – x%

Total profit earned = Rs. 7000

Abhi’s share in total profit = Rs. 5000

Formula used

Calculation

Let the investment of Bhanu = Rs. 100a

Then the Investment of Abhi = 4 × 100 a = Rs. 400a

And the investment of Chetan = (100 – x) % 0f 100a

⇒ Rs. (100a – ax)

The ratio profit of their investment = 400a : 100a : (100a – ax)

⇒  400 : 100 : (100 – x)

Let us assume that the total profit 

⇒ 400b : 100b : (100b – bx) = 7000

So Share of Abhi = 5000/7000 = 5/7 = 400/ (600 – x)

⇒ 600 – x = 560

⇒ x = 40

The ratio profit of their investment = 400 : 100 : (100 – 40)

⇒ 400 : 100 : 60

⇒ 20 : 5 : 3

⇒ 20 : 5 : 3

Difference between share of Bhanu and Chetan = 2 × 7000/28

⇒ 500

∴ Difference between share of Bhanu and Chetan is Rs. 500