Question

A and B invest in a business in a ratio 3 : 2. If 30% of total profit goes to charity and A investment for 18 months and B investment for 15 months. If A 's profit is Rs. 1800 then find the profit of B.
1. Rs. 1000
2. Rs. 1200
3. Rs. 1400
4. Rs. 1800
5. None of these

Answer 1

Correct Answer - Option 1 : Rs. 1000

Given: 

Share's  ratio A and B is 3 : 2 for 18 months and 15 months

Profit of A is Rs. 1800

Calculation: 

Let total profit be = 100 unit 

⇒ 30% profit is given in charity  

⇒ 100 × 30% =  30 unit

So, remaining is = 70 unit  

⇒ Then A' and B share = 3 : 2  in 18 months and 15 months 

⇒ 3 × 18 : 2 × 15 = 54 : 30 

⇒ New ratio of A and B is = 9 : 5 

⇒ Profit of A's = \(\frac{9}{{14}} × 70 = 45\) unit

So, profit of B is = 70 - 45 = 25 unit

⇒ Given Rs. 1800 profit = 45 unit 

⇒ 1 unit = 40

⇒ B profit = 40 × 25 = Rs. 1000

Profit of B is Rs. 1000

Only A 's profit is Rs. 1800 not the total profit of A and B.