For the following questions answer them individually
Ina class of 40 students, 45% are girls and the remaining are boys.If the average of the girls’ marks is 54 and that of the boys is 46, what is the average of the whole class?
The difference between the compound interest and simple interest on ₹x at 7.5% per annum for 2 years is ₹45. What is the value of x?
Two articles are sold for ₹5,104 each. On one, the seller gains 16% and onthe other, he loses 12%. Whatis his overall gain percent, nearest to two decimal places?
Two chords AB and CD of a circle when produced, meet at a point P outside the circle. If AB = 6 cm, PB = 5 cm, PD = 4 cm, then CD is equalto:
The radii of the two circular faces of the frustum of a cone are 5 cm and 4 cm.If the height of the frustum is 21 cm, what is it volume in cm$$^3$$?
($$\pi = \frac{22}{7}$$)
A is 40% more efficient than B and C is 20% less efficient than B. Working together, they can complete a task in 20 hours. In how many hours will A alone complete 35% of that task?
The table below indicates the percentage of students and the ratio of boys and girls in the various streams of a college. (Total students = 2600)
If the data about the number of girls enrolled in the various streams is represented by a pie-chart, what is the central angle of the sector representing the number of girls in the ME stream, to the nearest whole degree?
The price of sugar is increased by 17%. A person wants to increase his expenditure by 8% only. By what percent should he decrease his consumption, nearest to one decimal place?