A, B and C invested Rs. 8,000, Rs. 4,000 and Rs. 8,000 respectively in a business. A left it after six months and at the end of eighth month, there was a gain of Rs. 4,005. Then the share of B in it is (in rupees)
- Rs. 690
- Rs. 790
- Rs. 890
- Rs. 990
Answer: 890
Sol:
Investment by A, B and C is Rs. 8,000, Rs. 4,000 and Rs. 8,000 A invested money for six months B and C invested for 8 months
Concept used: Ratio of profit of investors = Ratio of each investment in respective time
Calculation:
According to the concept, we have Ratio of profit of investors = Rs. 8000 × (1/2) : Rs. 4000 × (2/3) : Rs. 8000 × (2/3) ⇒ 4 : (8/3) : (16/3) ⇒ 3 : 2 : 4
Let the profit of A, B and C be 3x, 2x and 4x respectively
According to the question, we have 3x + 2x + 4x = Rs. 4005
⇒ 9x = Rs. 4005 ⇒ x = Rs. 4005/9
⇒ Rs. 445 Then, share of B = 2x
⇒ Rs. (2 × 445)
⇒ Rs. 890
∴ The share of B is Rs. 890.
