The age of a man is same as his wife’s age with the digits reversed. The sum of their ages is 55 years and the man is 27 years older than his wife. How old is the man?

The diagonal of following quadrilateral ABCD is 50 cm long, and length of perpendiculars dropped on diagonal are 30 cm and 15 cm. Find the area of quadrilateral.

In a ^@3^@-digit number, the hundreds digit is ^@five \space times^@ the tens digit while the units digit is ^@twice^@ the tens digit. Also, the sum of its digits is ^@8^@. Find the number.

Radius of two circular wheels shown are 21 cm and 12 cm, respectively. The wheels are connected as gear, so they rotate with each other. If the second wheel makes 840 revolutions, find the number of revolutions made by the first wheel.

Pier purchases two video games for ^@€ 1490^@ each. He sold these video games, losing ^@2 \%^@ on one and gaining ^@6 \%^@ on the other. Find his gain or loss percent in the whole transaction.

Find the compound interest of ^@ €50000 ^@ after ^@ 2 ^@ years, compounded annually. The rate of interest is ^@ 18 \% ^@ per annum during the first year and ^@ 17 \% ^@ per annum during the second year.

The difference between two natural numbers is 49. If the larger number is divided by the smaller one, then the quotient is 6 and the remainder is 4. Find the larger number.