'P' and 'Q' started a business by investing Rs. 20,800 and Rs. 16,000, respectively. After 'T' months later, 'R' joined them by investing 25% more than 'P'. If at the end of 1.5 years, the ratio of profit shares of 'Q', and 'R' is 12:13, respectively, then find the value of 'T'.
Show answer & explanation
Correct answer: B
Explanation
Given:
P = 20,800, Q = 16,000
R = 25% more than P = 20,800 + 25% = 26,000
Total time = 1.5 years = 18 months
Q : R = 12 : 13
Q's Profit = 16,000 × 18 = 288,000
R's Time = (18 − T)
R's Profit = 26,000 × (18 − T)
Ratio = 288,000 : [26,000(18 − T)] = 12 : 13
288,000 / [26,000(18 − T)] = 12 / 13
288,000 × 13 = 12 × 26,000(18 − T)
3,744,000 = 312,000(18 − T)
18 − T = 3,744,000 / 312,000 = 12
T = 18 − 12 = 6