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A businessman borrowed Sh. 120,000 from a bank the bank charged Simple interest at the rate of 16% pa the he repaid the loan after 3 years Find a) the interest he paid b) the total amount the paid

Mathematics

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Answers

2 parts
a

Sh 57,600\text{Sh 57,600}

b

Sh 177,600\text{Sh 177,600}

Step-by-step solution

5 steps

Hili ni swali kuhusu riba rahisi (simple interest).

Kutoka kwenye swali, tunapewa:

  • Kiasi cha mkopo (Principal, PP) = Sh 120,000
  • Kiwango cha riba (Rate, RR) = 16% kwa mwaka (p.a.)
  • Muda (Time, TT) = miaka 3

Part a· 3 steps

Tafuta riba aliyolipa

  1. Tumia fomula ya riba rahisi.

    Fomula ya riba rahisi (II) ni:

    I=P×R×T100I = \frac{P \times R \times T}{100}
  2. Badilisha thamani za PP, RR, na TT kwenye fomula.

    I=120,000×16×3100I = \frac{120,000 \times 16 \times 3}{100}
  3. Fanya hesabu.

    I=5,760,000100I = \frac{5,760,000}{100} I=57,600I = 57,600

    Riba aliyolipa ni:

    Sh 57,600\boxed{\text{Sh 57,600}}

Part b

Sh 177,600\text{Sh 177,600}

Tafuta jumla ya kiasi alicholipa

  1. Tumia fomula ya jumla ya kiasi.

    Jumla ya kiasi (AA) alicholipa ni jumla ya kiasi cha mkopo na riba:

    A=P+IA = P + I
  2. Badilisha thamani za PP na II kwenye fomula.

    A=120,000+57,600A = 120,000 + 57,600 A=177,600A = 177,600

    Jumla ya kiasi alicholipa ni:

    Sh 177,600\boxed{\text{Sh 177,600}}
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