For the following questions answer them individually
The radii of a right circular cone and a right circular cylinder are in the ratio 2 : 3. If the ratio of the heights of the cone and the cylinder is 3 : 4, then what is the ratio of the volumes of the cone and the cylinder?
The average age of 9 men is 45 years. If the age of one woman is included, then the average age becomes 44 years. What is the age of the woman?
P sold an article to Q at a profit of 20%. Q sold the same article to R at a loss of 25%. R sold the same article to T at a profit of 50%. If P bought the article at ₹100, then at what price did T buy that article?
What is the value of $$(6 of 4 \div 16 \times 48) \div 8 \times 4 + 2 \times 3 \div 6 + 5(6 - 2)$$ ?
₹480 is invested at simple interest. It becomes ₹520 after 20 months. What is the interest rate per annum?
The monthly incomes of A and B are ₹12000 and ₹15000 respectively. The monthly expenditure of A is ₹8000. If the ratio of the monthly expenditures of A and B is 2 : 3, then what is the sum of their monthly savings?
The area of a rhombus is 300 cm$$^2$$. If the length of one of the diagonals of the rhombus is 30 cm, then what is the length (in cm) of the second diagonal?
If the height of an equilateral triangle is 20$$\surd2$$ cm, then what is its area (in cm$$^2$$)?
A number is first increased by 40% and then it is increased by 30%. What is the net percentage increase?
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