Question
Neha and Priya launched a venture by putting in Rs. 9000
and Rs. 7000, respectively. After 10 months, Neha reduced her investment by 20%, and Priya raised hers by 50%. After 2 years, the profit share difference between them is Rs. 480. What is the combined profit?Solution
Profit share ratio = Investment × Time Neha = 9000 × 10 + (0.8 × 9000) × 14 = 90000 + 100800 = 190800 Priya = 7000 × 10 + (1.5 × 7000) × 14 = 70000 + 147000 = 217000 Ratio = 190800 : 217000 Let’s simplify: divide by 100 → 1908 : 2170 ≈ 954 : 1085 Let’s simplify further: divide both by 31 → 954/31 = 30.77, 1085/31 = 35 So take ratio as 31:35 Now use the difference and ratio: Total profit = 480 × (31 + 35)/(35 – 31) = 480 × 66/4 = Rs. 7920
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