A B and C share in 1:4:5. A dies and B and C take his share equally. What will be the new ratio?

Correct answer: 9:11

The correct answer is Option A, 9:11. The old ratio A:B:C is 1:4:5, so the old shares are 1/10, 4/10 and 5/10. A dies and gives up 1/10. B and C acquire this share equally, so each receives 1/20. B's new share is 4/10 + 1/20 = 8/20 + 1/20 = 9/20. C's new share is 5/10 + 1/20 = 10/20 + 1/20 = 11/20. Therefore B:C = 9:11. Option A is correct. Option B, 4:5, simply repeats the old ratio of B and C and ignores the share acquired from A. Option C, 1:1, would mean B and C have equal total shares, but C originally had a larger share and remains larger even after equal acquisition. Option D, 5:6, does not follow the calculation and gives an incorrect difference between the new shares. Notice that equal acquisition means equal additions, not equal final shares. Memory cue: add the deceased partner's surrendered share equally to each continuing partner, then compare the totals.