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Maya menjual sebuah mainan seharga  dan mendapat k...

Maya menjual sebuah mainan seharga Rp 99.000 comma 00 dan mendapat keuntungan 10 percent sign. Kemudian ia menjual kalkulator seharga Rp 99.000 comma 00 dan menderita kerugian 10 percent sign. Hitunglah:

c. persentase kerugian dan persentase keuntungan seluruhnya.

Jawaban:

Misalkan:

Harga space Beli equals HB Harga space Jual equals HJ Untung equals straight U Rugi equals straight R 

Diketahui:

HJ subscript mainan equals Rp 99.000 comma 00 HJ subscript kalkulator equals Rp 99.000 comma 00 percent sign straight U subscript mainan equals 10 percent sign percent sign straight R subscript kalkulator equals 10 percent sign  

Maka:

- Harga beli mainan

space space space space space space space space space space space percent sign straight U equals straight U over HB cross times 100 percent sign space space space space space space space space space space 10 percent sign equals fraction numerator HJ minus HB over denominator HB end fraction cross times 100 percent sign space space space space space space space fraction numerator 10 percent sign over denominator 100 percent sign end fraction equals fraction numerator HJ minus HB over denominator HB end fraction space space space space space space space space space space space space space 1 over 10 equals fraction numerator 99.000 minus HB over denominator HB end fraction space space space space space space space space 1 cross times HB equals 10 cross times open parentheses 99.000 minus HB close parentheses space space space space space space space space space space space space space HB equals 990.000 minus 10 HB HB plus 10 HB equals 990.000 space space space space space space space space space 11 HB equals 990.000 space space space space space space space space space space space space space space HB equals fraction numerator 990.000 over denominator 11 end fraction space space space space space space space space space space space space space space HB equals 90.000 

- Harga beli kalkulator

space space space space space space space space space space space space space space space space space space space space space space percent sign straight R equals straight R over HB cross times 100 percent sign space space space space space space space space space space space space space space space space space space space space space 10 percent sign equals fraction numerator HB minus HJ over denominator HB end fraction cross times 100 percent sign space space space space space space space space space space space space space space space space space space fraction numerator 10 percent sign over denominator 100 percent sign end fraction equals fraction numerator HB minus HJ over denominator HB end fraction space space space space space space space space space space space space space space space space space space space space space space space space 1 over 10 equals fraction numerator HB minus 99.000 over denominator HB end fraction 10 cross times open parentheses HB minus 99.000 close parentheses equals 1 cross times HB space space space space 10 HB minus 990.000 equals HB space space space space space space space space space space space space 10 HB minus HB equals 990.000 space space space space space space space space space space space space space space space space space space space space space space 9 HB equals 990.000 space space space space space space space space space space space space space space space space space space space space space space space space HB equals fraction numerator 990.000 over denominator 9 end fraction space space space space space space space space space space space space space space space space space space space space space space space space HB equals 110.000 

Sehingga:

- Harga beli seluruhnya

Total space HB equals HB subscript mainan plus HB subscript kalkulator Total space HB equals 90.000 plus 110.000 Total space HB equals 200.000 

- Harga jual seluruhnya

Total space HJ equals HJ subscript mainan plus HJ subscript kalkulator Total space HJ equals 99.000 plus 99.000 Total space HJ equals 198.000 

Berarti HB greater than HJ sehingga Maya mengalami kerugian dengan persentase:

percent sign straight R equals straight R over HB cross times 100 percent sign percent sign straight R equals fraction numerator HB minus HJ over denominator HB end fraction cross times 100 percent sign percent sign straight R equals fraction numerator 200.000 minus 198.000 over denominator 200.000 end fraction cross times 100 percent sign percent sign straight R equals fraction numerator 2.000 over denominator 200.000 end fraction cross times 100 percent sign percent sign straight R equals fraction numerator 2.000 over denominator 200.000 end fraction cross times 100 percent sign percent sign straight R equals 1 over 100 cross times 100 percent sign percent sign straight R equals 1 percent sign 

Jadi, persentase kerugian dan persentase keuntungan seluruhnya adalah 1 percent sign.

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