A, B and C started a business by investing in the ratio of 3 : 4 : 5. After 3 months, A withdrew an amount which is equal to 1/12 of total amount invested by B and C together. If A got Rs. 702 at end of year, then find the difference between profit share of B and C?

Let investments be 3x, 4x, 5x. Total investment by B and C = 9x, so A withdraws 9x/12 = 3x/4. A's effective investment: 3x for 3 months, then (3x - 3x/4) = 9x/4 for 9 months. Ratio of profit shares: A : B : C = [3x×3 + (9x/4)×9] : [4x×12] : [5x×12] = [9x + 81x/4] : 48x : 60x = 117x/4 : 48x : 60x = 117 : 192 : 240. A's share of total = 117/(117+192+240) = 117/549. If A gets Rs 702, total = 702 × 549/117 = Rs 3300. Difference B - C = (192 - 240)/549 × 3300 = -48/549 × 3300 ≈ -288.69 (not matching options). Option B (None of these) seems correct.