Find the value of P , Q and R:

(i) If Nikita travels 252km in 12 hours, then she travels_ P_ km in 21 hours.

(ii) If the cost price of 5 chairs and 6 tables is Rs. 750 and Rs. 3600 respectively, then the cost price of 3 such chairs and 2 such tables in Rs _Q

(iii) The ratio of the number of boys to the total number of students in a class is _R_. if the number of boys and girls are 36 and 18 respectively.

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(i) 400 (ii) 1680 (iii) 2:3

(i) 400 (ii) 1650 (iii) 2:3

(I) 441 (ii) 1650 (iii) 2:3

(i) 441 (ii) 1680 (iii) 2:3

answer is C.

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Detailed Solution

Concept- To solve each of the questions we will apply the unitary approach to calculate the value of P , Q and R.
So, we will solve one by one all the questions and find the respective solution;
(i) According to the given question that Nikita travels 252km in 12 hours,
So, distance covered in 1 hour will we

Now the distance covered in 21 hours=

.
Hence, the value of P is 441km.
(ii) So according to this statement, the cost of 5 chairs = Rs.750.
The cost of 6 tables = Rs.3600.
Now we need to find the cost of 3 chairs and 2 tables. To find that we need to find the value of one chair and one table .
So, we know that ,5 chairs = Rs.750
Then one chair =

The cost of one chair is Rs. 150.
It means the cost of 3 chair is

Now as we know that 6 tables is Rs 3600
Then the cost of one table is

So, the cost of two table is

.
So, the total amount of three chairs and two tables are:

Hence, the value of Q is Rs. 1650.
(iii) So, in this question we need to find the ratio. To do so we need to know the total number of students.
Total student = total boys + total girls

Hence, ratio is