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Ajay and Raju started a business and invested Rs. 5a and Rs. 3b respectively. After 3 months, Raju left and Rocky joined the business by investing Rs. 4c. At the end of the year, there was a profit of Rs. 23,000. Ajay share and Rocky share is equal. The value given in which of the following options can be the value of a and c respectively in order to make the above statement true. A. Rs. 3,000 and Rs. 5,000 B. Rs. 6,000 and Rs. 18,000 C. Rs. 15,000 and Rs. 20,000

Ajay and Raju started a business and invested Rs. 5a and Rs. 3b respectively. After 3 months, Raju left and Rocky joined the business by investing Rs. 4c. At the end of the year, there was a profit of Rs. 23,000. Ajay share and Rocky share is equal. The value given in which of the following options can be the value of a and c respectively in order to make the above statement true. A. Rs. 3,000 and Rs. 5,000 B. Rs. 6,000 and Rs. 18,000 C. Rs. 15,000 and Rs. 20,000 Correct Answer Only A

Given:

Ajay’s investment = Rs. 5a

Raju’s investment = Rs. 3b

Rocky’s investment = Rs. 4c

Profit = Rs. 30,000

Calculation:

Ratio of shares: 5a × 12 : 3b × 9 : 4c × 9

⇒ 20a : 9b : 12c

⇒ 20a : 12c

⇒ a : c = 3 : 5

∴ Correct answer is option A (i.e. 3000/5000 = 3 : 5)

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