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Namisi paid Ksh 120000 for furniture. The payment was inclusive of V.A.T. at a rate of 16%. Find the initial value of the furniture before V.A.T.

Mathematics

ScanSolve AI Answer

Answer

Ksh 103448.28\text{Ksh } 103448.28

Step-by-step solution

4 steps

Huu hapa ni utatuzi wa swali la 11:

  1. Tambua kuwa bei iliyolipwa inajumuisha VAT.

    Bei iliyolipwa ni Ksh 120000.
    Kiwango cha VAT ni 16%16\%.
    Hii inamaanisha kuwa bei iliyolipwa inawakilisha 100%100\% ya bei ya awali pamoja na 16%16\% ya VAT, jumla yake ikiwa 116%116\%.

  2. Weka bei ya awali kabla ya VAT kama PP.

    Hivyo, 116%116\% ya PP ni Ksh 120000.
    Andika hii kama equation:

    1.16P=1200001.16P = 120000
  3. Tatua kwa PP ili kupata bei ya awali kabla ya VAT.

    P=1200001.16P = \frac{120000}{1.16} P≈103448.27586P \approx 103448.27586
  4. Zungusha jibu kwa senti mbili za karibu zaidi.

    P≈103448.28P \approx 103448.28

    Thamani ya awali ya samani kabla ya VAT ni: Ksh 103448.28\text{Ksh } 103448.28

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