In a two digit number, the unit's digit exceeds its ten's digit by 2. The product of the given number and the sum of its digits is equal to 144. Find the number.

The time taken by a person to cover 150 km was 2.5 hours more than the time taken in return journey. If he returned at a speed of 10 km/hour more than the speed of going, what was the speed per hour in each direction ?

A man bought a certain number of chairs for ₹ 10000. He kept one for his own use and sold the rest at the rate ₹ 50 more than he gave for one chair. Besides getting his own chair for nothing, he made a profit of ₹ 450. How many chairs did he buy ?

In the given figure; the area of unshaded portion is 75% of the area of the shaded portion. Find the value of x.