Question 3/20: Set 7 - Try Out - Mathematical Reasoning (SNBT)

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Mr. Umar is an employee of the school cooperative in the procurement department. At the end of every month, Mr. Umar always shops for consumer needs, especially stationery, namely $6$ dozens of notebooks for $\text{Rp}144,000.00$ , $5$ dozens of ballpoints for $\text{Rp}90,000.00$ , and $6$ dozens of pencils for $\text{Rp}72,000.00$ .

Notebooks are sold: $3$ dozens at $\text{Rp}2,500.00$ per copy, $2$ dozens at $\text{Rp}2,300.00$ per copy, and the rest at $\text{Rp}2,100.00$ per copy.

Ballpoints are sold: one dozen at $\text{Rp}2,000.00$ per piece, $3$ dozens at $\text{Rp}1,700.00$ per piece, and the rest at $\text{Rp}1,600.00$ per piece.

Pencils are sold: $4$ dozens at $\text{Rp}1,500.00$ per piece, and the rest at $\text{Rp}1,300.00$ per piece.

The item that provides the most profit is....

Explanation

Here is the calculation of sales for each item (Recall that $1$ dozen = $12$ pieces/copies).

Notebooks

The purchase capital for $6$ dozens of notebooks is $\text{Rp}144,000.00$ .

Sales:

$3$ dozens ( $36$ pieces) sold at $\text{Rp}2,500.00$ each
$2$ dozens ( $24$ pieces) sold at $\text{Rp}2,300.00$ each
Remaining $1$ dozen ( $12$ pieces) sold at $\text{Rp}2,100.00$ each

Total revenue from notebooks:

\text{Revenue} = (36 \times 2,500) + (24 \times 2,300) + (12 \times 2,100)

\text{Revenue} = 90,000 + 55,200 + 25,200

\text{Revenue} = 170,400

Profit from notebooks:

\text{Profit} = \text{Revenue} - \text{Capital}

\text{Profit} = 170,400 - 144,000

\text{Profit} = 26,400

Ballpoints

The purchase capital for $5$ dozens of ballpoints is $\text{Rp}90,000.00$ .

Sales:

$1$ dozen ( $12$ pieces) sold at $\text{Rp}2,000.00$ each
$3$ dozens ( $36$ pieces) sold at $\text{Rp}1,700.00$ each
Remaining $1$ dozen ( $12$ pieces) sold at $\text{Rp}1,600.00$ each

Total revenue from ballpoints:

\text{Revenue} = (12 \times 2,000) + (36 \times 1,700) + (12 \times 1,600)

\text{Revenue} = 24,000 + 61,200 + 19,200

\text{Revenue} = 104,400

Profit from ballpoints:

\text{Profit} = 104,400 - 90,000

\text{Profit} = 14,400

Pencils

The purchase capital for $6$ dozens of pencils is $\text{Rp}72,000.00$ .

Sales:

$4$ dozens ( $48$ pieces) sold at $\text{Rp}1,500.00$ each
Remaining $2$ dozens ( $24$ pieces) sold at $\text{Rp}1,300.00$ each

Total revenue from pencils:

\text{Revenue} = (48 \times 1,500) + (24 \times 1,300)

\text{Revenue} = 72,000 + 31,200

\text{Revenue} = 103,200

Profit from pencils:

\text{Profit} = 103,200 - 72,000

\text{Profit} = 31,200

Conclusion

Profit comparison:

Notebooks: $\text{Rp}26,400.00$
Ballpoints: $\text{Rp}14,400.00$
Pencils: $\text{Rp}31,200.00$

So, the item that provides the most profit is pencils.

Command Palette

Number 3

Explanation

Notebooks

Ballpoints

Pencils

Conclusion