For the following questions answer them individually
The average of marks obtained by X and Y is 35 less than the average marks obtained by Y and Z. If the marks obtained by Z is 85, what is the marks obtained by X ?
P sells a bottle to Q at a profit of 30 percent and Q sells it to R at a profit of 20 percent. What is the ratio of cost prices of P and R?
A man borrows a sum of Rs.12,000 which amounts to Rs.13,200 in 2 years on simple interest. What would have been the amount if the rate of interest was doubled?
What is the value of $$\frac{\tan \theta - \sec \theta + 1}{\tan \theta} + \sec \theta - 1$$?
If $$A = \frac{18 \div 9 \times 4}{15 \div 3 \times 5}$$ and $$B = \frac{18 \div 36 \times 3 + 5 \times 1 - 6}{18 \div 6 \times 20 - 3 \times 4 + 12}$$, then what is the value of $$(A + B)$$?
Raman spends 50 percent of his income. If his income increases by 10 percent and the expenditure also increases by 10 percent, then what will be the percentage increase in his savings?
Two identical circles intersect each other such that each passes through the centre of the other. Length of common chord is $$16\surd{3}$$ cm. What is the radius of each circle?
A alone can complete the project in 10 days; B alone can complete it in 20 days while C alone can complete it in 30 days. They together earn Rs.1,100 for the project. By how much do the total earnings of A and C exceed the earnings of B ?
The line chart given below shows the number of girls in 7 schools.
What is the difference between number of girls in school G, H and I together and the number of girls in school J, K, L and M together
What is the value of $$\frac{\cot 60^\circ - \cot 30^\circ}{1 + \cot 60^\circ . \cot 30^\circ}$$?