Question

If the cost of 14 m cloth is Rs. 18990, then find the cost of 6 m of cloth.

Answer 1

Hint:We already have the cost of 14 m of cloth with us. Using division, we will find the cost of 1 m of cloth. Now, after getting the cost of 1 m of cloth, we will multiply it by 6 to get the required answer.

Complete step-by-step answer:
We are given that: the cost of 14 m cloth is Rs. 18990.
Rewriting it as:
Cost of 14 m cloth = Rs. 18990
So, cost of 1 m cloth = $Rs.\dfrac{{18990}}{{14}}$
Taking 2 common out of both numerator and denominator, we will get:-
Cost of 1 m cloth = $Rs.\dfrac{{9495}}{7}$
So, cost of 6 m cloth will be = $Rs.\dfrac{{9495}}{7} \times 6$
On simplifying it, we will get:-
Cost of 6 m cloth = $Rs.\dfrac{{56970}}{7}$
On simplifying it further, we will get:-
Cost of 6 m cloth = Rs. 8138.57143.
Hence, the required answer is Rs. 8138.57143.

Note:The students can also use the following method to solve the same:-
Cost of 14 m cloth = Rs. 18990
So, cost of 6 m cloth will be = $Rs.18990 \times \dfrac{6}{{14}}$
We will get the same answer.
Division is basically dividing up a thing into different subparts. Like we will use division, when we have to distribute something into equal parts. For example:- if we have to distribute 15 sweets among 3 students.
Multiplication is basically replicating things. For example:- if 1 pencil costs 5 rupees. To buy 5 pencils, you will need to multiply 5 and 5 to get the required money. It is basically repeated addition. For example:- 5 +5 + 5 + 5 + 5 will give you the same result as $5 \times 5$.