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Let investment of R, S and K is Rs. 3a, Rs. 5a and Rs. 8a respectively. ATQ — Investment ratio of R, S and K = [3x × 4 + (3x + 3000) × 4 + (3x + 3000 – 2500) × 4] : [5x × 4 + (5x + 4500) × 4 + (5x + 4500 + 3000) × 4] : [8x × 4 + (8x + 6000) × 4 + (8x + 6000 – 4000) × 4] = (36x + 14000) : (60x + 48000) : (96x + 32000) Investment of M = Investment of R for first four months + 3000 = (3x + 3000) Investment of N = Investment of K for last four months = (8x + 6000 – 4000) ATQ — (3a + 3000) x 12/(8a + 2000) x 12 = 15/28 10a - 7a = 7000 – 25000 3a = 4500 a = Rs 1500 S invested for last four months = (5a + 4500 + 3000) = (5 × 1500 + 4500 + 3000) = Rs.15000
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