The cost of school bags and shoes are in the ratio 7 : 5. The cost of a school bag is ₹ 200 more than that of a shoe. So what is the price of the shoes?

If p = 8.15, q = 9.06 and r = −17.21, then the value of p³+q³+r³-3pqr

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

A man travel from A to B at 20 km/Hr. and come back from B to A at 30 km/hr. Find the average speed of the whole journey.

If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

Ram has 5 daughters. The average age of these 5 sisters is 28 years. The youngest one is 16 years old. What was the average age of the 4 daughters before the youngest one was born?

Direction: Study the following information to answer the questions.

In hotel B, the ratio of female customers on Tuesday and Friday was 2 : 3. If on Friday, female customers constituted 50% of the number of customers (male + female), then what was the number of customers (male + female) in hotel B on Friday?

The ratio of present ages of P and Q is 3:4. The ratio of their ages 27 years hence would be 6:7. If P is 9 years younger than Q then, what would be the present age of Q?