A and B started a business with investments of Rs.5X & and Rs. 5X-400…
2023
A and B started a business with investments of Rs.5X & and Rs. 5X-400 respectively. After six months, B added Rs.200 and at the end of the year profit received by B is Rs.510 out of a total profit of Rs.1110. Find the value of X.
- A.
300
- B.
600
- C.
500
- D.
200
- E.
400
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Correct answer: E
A invests 5X for 12 months, so A's capital-months are 60X. B invests (5X - 400) for 6 months and then (5X - 200) for 6 months, giving 60X - 3600. Since B's share is 510 out of 1110, A:B = 600:510 = 20:17. Solving 60X : (60X - 3600) = 20 : 17 gives X = 400.