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Option 1 : Statement I or III are sufficient.

Let the total work be 60 units (common multiple of 15, 10)

By statement I, we know

Share of A = 2/3 of the share of B

Means capacity of A = 3/2 of B

Means A does 3 units/day and B does 2 units/day of same work

∴ The share of A = 3/5 × 500 = Rs. 300

By statement III, we know

A does the work in 10 days and the same work is done by B in 15 days

A's one day's work = 1/10 and B's one day's work = 1/15

A and B will divide the money in the ratio of their one day's work = 1/10 : 1/15 = 3 : 2

∴ The share of A = 3/5 × 500 = Rs. 300

Hence, by statement I and Statement III we have calculated the share.
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