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?

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is:

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

Out of an earning of Rs.720, Pankaj spends 65%. How much does he save?

Find the value of

 sin⁴30⁰ + cos⁴30⁰ – sin25⁰cos65⁰-sin65⁰cos25⁰

The following pie chart shows the number of bags sold by 7 different shops during a month as percentages of the total number of bags sold during this month by these 7 shops taken together.

If the total number of bags sold during the given month by these 7 shops taken together was 1400, then what was the total number of bags sold by S3 and S 7 taken together?

There is a profit of 10% when an item is sold at $${{5\over6}}$$ of its actual selling price. What will be the profit percentage on the cost price when the item is sold at its actual selling price?

A and B are solutions of acid and water. The ratio of water and acid in A and B are 4 : 5 and 1 : 2, respectively. If x literes of A is mixed with y litres of B, then the ratio of water and acid in the mixture becomes 8 : 13. What is x : y ?