AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of ∠ APB.

An article is sold at a gain of 16%. If it had been sold for Rs.400 more, 20% would have been gained. The cost price of the article is

75% of a number is equal to three-seventh of another number. What is the ratio between the first number and the second number respectively?

A sum of ₹14,375, when invested at r% interest per year compounded annually, amounts to ₹16,767 after two years. What is the value of r?

A man can row 52 km upstream and 42 km downstream in 10 hours. It is also known that he can row 66 km downstream and 60 km upstream in 13 hours. Find the speed of the man in still water.

A and B invested 1/2 and 1/3 of the total capital respectively, the remaining part C invested. If there is a profit of Rs. 9696 at the end of the year, then what is the profit of B?

The ratio of two number is 3 :5 . If 6 added to both the number then ratio become 2 :3 then find out the number?

If (27x³ – 343y³) ÷ (3x – 7y) = Ax² +By² + 7Cyx, then the value of (4A – B +5C) is: