A and B started a business with investments of ₹5000 and ₹4000, respectively. After 6 months, A added ₹1000 and B added ₹x. If the profit ratio is 11:18, find x.
Show answer & explanation
Correct answer: B
Explanation
Given:
A's initial investment = ₹5,000
B's initial investment = ₹4,000
After 6 months, A added ₹1,000
After 6 months, B added ₹x
Profit ratio = 11 : 18
A's investment-time = 5,000 × 6 + 6,000 × 6 = 66,000
B's investment-time = 4,000 × 6 + (4,000 + x) × 6 = 48,000 + 6x
Profit ratio = 66,000 : (48,000 + 6x) = 11 : 18
66,000 / (48,000 + 6x) = 11 / 18
66,000 × 18 = 11(48,000 + 6x)
1188,000 = 528000+66x
66x = 660000
x = ₹10000