Manish lent out Rs 20000 in two parts. He put out first part at 6% and the second part at 8% interest. The yearly average interest comes out to be 6.4%.What are the amounts (in Rs) that were lent at 6% and 8% respectively?

If X : Y : Z = 3 : 4 : 5, then what will be the ratio of (X/Y) : (Y/Z) : (Z/X)?

The income of a person is Rs 45000 and his expenditure is Rs 33000. If his income is increased by 22% and expenditure in increased by 11%, then what will be the percentage increase in his savings?

In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circum-centre.

An equilateral triangle has sides of 10 cm each. Find the ratio of in-radius to the circum-radius of the triangle.

If x = 5 + 15 - 1 & y = 5 - 15 + 1, then find the value of x2 - y2.

What value of 'p' will satisfy the equation p540 = 240p ?

Assume 57 + 59 + 109 = 0, then find the value of 573 + 593 + 1093