For the following questions answer them individually
Simplify the following expression.
$$\frac{135\div\frac{1}{3} of 5-2\frac{2}{3}\div1\frac{1}{3}+6}{\left(15^{2}+9\div3\right)-\left(10-5\times\frac{2}{5}\right)}$$
A town with literacy rate of 85% bas a population of 2500. If male population is 55%, and 92% of them are literate, then find the literacy rate of females in the town.
A shopkeeper sells 6 cardigans for ₹3,000 with 20% profit and 10 trousers for ₹6,38O with 16% profit. What is the total profit per cent?
If mode of the following data is 14, then what is the value of k?
k, 8, 9, (k-1), 11, 12, 12, 15, (k-1), 14
Two numbers are in the ratio 4 : 5. If 2 is subtracted from the first number and 2 is added to the second number, then their ratio becomes 2 : 3. The difference between the two numbers is:
Five men working together can complete a work in 8 days. Om Prakash who can complete the same work independently in 24 days joined them after 4 days. Under the circumstances in how many days the work will be completed?
The Gupta family spends their monthly income on different heads as shown in the following pie chart.
What is the central angle corresponding to the sector representing expenditure on Food etc.?
A certain sum doubles itself on simple interest in 10 years. At the same rate of interest in how many years it will become 3 times of itself?
What will be the compound interest on a sum of ₹15,000 at the interest rate of 8% per annum in one year, interest compounded semi-annually'?