Rahul invested equal sums of money at compound interest under two schemes A and B. Under scheme A, the interest rate was 10% per annum and under scheme B, the interest rate was 12% p.a. The compound interest after two years on the sum invested in scheme A was ₹1,050. How much is the interest earned under scheme B after two years, if the interest is compounded annually in both schemes?

A, B and C together invests ₹53,000 in a business. A invests ₹5,000 more than B and B ₹invests 6,000 more than C. Out of a total profit of ₹31,800, find the share of A.

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔАВС.

Anil bought two articles A and B at a total cost of ₹ 10,000. He sold the article A at 15% profit and the actacle B at 10% loss. In the whole deal, be made no profit or no loss. Find the selling price of the article A.

A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman C, find in how many days B alone can do the work?

An article is listed at ₹ 7,600 and the discount offered unit is 10%. What additional discount must be given to bring the net selling price to ₹5,814?

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

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: