Two equal glasses filled with mixture of milk and water in the proportions of 2 : 1 and 1 : 1 respectively are emptied into a third glass. What is the proportion of milk and water in the third glass?

If p = 8.15, q = 9.06 and r = −17.21, then the value of p³+q³+r³-3pqr

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

The price of sugar is increased by 20%. As a result, a family has to decrease its consumption by 20%. The expenditure of the family on sugar is decreased by

A whole number is added to 50 and the same number is subtracted from 50. The sum of the resulting numbers is 

A certain sum (in Rs.) is invested at simple interest at x% p.a. for 5 years. Had it been invested at (x+5)% p.a, the simple interest would have been Rs.9,200 more than the earlier one. What is the sum?

If the present worth of a certain sum due 2 years hence at 10% per annum at a compound interest principal is Rs. 2500, find the amount.

An umbrella is marked for ₹150 and sold for ₹138. The rate of discount is: