Question

The cost of 25 sharpeners is 100 rupees. Find the cost of 10 sharpeners

Answer 1

Answer:

The total cost of 3 pencils and 4 sharpeners is Rs. 16.

Step-by-step explanation:

We are given the following in the question:

Cost of 25 pencils and 20 sharpeners = Rs 100

Let x be the cost of one pencil and y be the cost of one sharpener.

The cost of sharpener is more than the cost of pencil by 50p.

Thus, we can write the following equations based on the given information:

\begin{gathered}y = x + 0.50\\25x + 20y = 100\\25x + 20(x+0.50) = 100\\25x + 20x +10 = 100\\45x = 90\\x = 2\\y = 2.5\end{gathered}

y=x+0.50

25x+20y=100

25x+20(x+0.50)=100

25x+20x+10=100

45x=90

x=2

y=2.5

Thus, cost of one pencil is Rs. 2 and cost of one sharpener is Rs. 2.5

Cost of 3 pencils and 4 sharpeners =

\begin{gathered}3x + 4y\\=3(2) + 4(2.5)\\=6+10\\=16\end{gathered}

3x+4y

=3(2)+4(2.5)

=6+10

=16

The total cost of 3 pencils and 4 sharpeners is Rs. 16

Answer 2

Given :-

• Cost of one sharpner = 100 Rs

To Find :-

• Cost of 10 sharpeners.

Solution :-

~First we'll find the cost of 1 sharpner

=100÷25

=4 Rs.

~Now multiply the cost of 1 sharpner with 10

=4×10

=40

∴ The cost of 10 sharpeners is Rs.40

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