Math, asked by ishtyak6686, 1 month ago

If the cost of one dozen of pencil is 96rs find the cost of 18 pencils

Answers

Answered by sauravsubodhmishra
1

Answer:

96/12 * 18

= 144

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Answered by Yuseong
79

Answer:

Rs. 144

Step-by-step explanation:

As per the provided information in the given question, we have :

  • Cost of one dozen of pencil = Rs. 96

We've been asked to calculate the cost of 18 pencils.

In order to calculate the cost of 18 pencils, here we'll be using the unitary method. In unitary method, first we find the cost of 1 particular object. Here, we need to calculate the cost of 1 pencil first.

One dozen consists of 12 units. Thus, there are 12 pencils in one dozen. So, according to the question, the cost of 12 pencils is 96.

  \twoheadrightarrow \bf{\quad {Cost_{(12 \; Pencils)} = Rs. \; 96 }} \\

As the cost of 12 pencils is 96, so the cost of 1 pencil would be 96/12.

  \twoheadrightarrow \bf{\quad {Cost_{(1 \; Pencil)} = Rs. \; \cancel{\dfrac{96}{12}} }} \\

Dividing the terms in the RHS.

  \twoheadrightarrow \quad\underline{\boxed {\bf Cost_{(1 \; Pencil)} = Rs. \; 8 }} \\

Here, we got that the cost of 1 pencil is Rs. 8. Now, we have to calculate the the cost of 18 pencils. The cost of 18 pencils will be cost of 1 pencil times 18.

  \twoheadrightarrow \bf{\quad {Cost_{(18 \; Pencils)} =  Cost_{(1 \; Pencil)} \times 18}} \\

Substitute the values.

  \twoheadrightarrow \bf{\quad {Cost_{(18 \; Pencils)} =  Rs. \; 8 \times 18}} \\

Multiplying the terms.

  \twoheadrightarrow \quad\underline{\boxed {\bf Cost_{(18 \; Pencils)} = Rs. \; 144 }} \; \bigstar\\

❝ Therefore, the cost of 18 pencils is Rs. 144. ❞

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