A two digit number (x) is increased by (x)% , as a result it becomes 29.76. The number was increased by a percentage equal to the number obtained by reversing the digits of the original number. The resultant would have been?

Let x be the two-digit number. After x% increase: x(1 + x/100) = 29.76. Solving gives x = 24 (since 24 × 1.24 = 29.76). Reversed digits give 81. After 81% increase: 24(1 + 81/100) = 24 × 1.81 = 43.44. This doesn't match the options. Actually, let's verify: if x = 18, then 18 × 1.18 = 21.24 (not 29.76). If x = 24, then 24 × 1.24 = 29.76. Reversing gives 42, so 24 × 1.42 = 34.08, which matches option A.