In a two-digit number, its units digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 460. The number is:

By selling 100 pencils, A shopkeeper gains the selling price of 20 pencils. His gain percentage is

The monthly incomes of A and B are in the ratio 3 : 5 and the ratio of their savings is 2: 3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?

ABC is an isosceles triangle such that AB = AC and ∠B = 35°. AD is the median to the base BC. Then ∠BAD is

What would be the simple interest obtained on an amount of `6,535 at the rate of 10 % p.a. (percent per annum) after 6 years?

The average weight of 40 children of a class is 36.2 kg. When three more children with weight 42.3 kg, 39.7 kg and 39.5 kg join the class, the average weight of the 43 children in the class is: 

When positive numbers a, b and c are divided by 13, the remainders are 9, 7 and 10, respectively. What will be the remainder when (a+2b+5c) is divided by 13?

A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way; he ghins Rs. 104.50 a year. The amount of money he borrows, is: