Ultrabooks are usually not equipped with powerful processors yo
Still, can consider this one:
13"
Dell [Ultrabook] XPS13, i5-3337U + Intel HD4000 + 128GB SSD@RM3399[1.36kg], 4GB, W8, backlit
*Price in RRp, negotiable
*use remaining budget to extend warranty to 3 years complete cover (~RM800)

Otherwise, can consider these:
13"
Lenovo [ultrabook]IdeaPad Yoga 13, i5-3337U + Intel HD4000 + 128GB SSD@RM3399, 4GB, 2 years; colors: grey/orange

14"
Lenovo ThinkPad T430U, i5-3317U + Intel HD4000 + 24GB mSATA + 500GB HDD@RM3799, 4GB, W7P, 3 years on-site warranty

If she prefers something more powerful (but not an ultrabook, then perhaps this one):
14"
ThinkPad Edge E430, i7-3632QM + Nvidia GT635M + 16GB mSATA+750GB HDD@RM3399[2.2kg], W7P/W8, 4GB, anti-glare