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Tairo bought US 7.00 for 91,70 Pula from a bank. Find the exchange rate in the form US 1 : m Pula. The bank charged 1% commission for the transaction. Calculate the amount of money Taiiro received.

Mathematics

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let's tackle these questions.

a) i) To find the exchange rate in the form US 1:1 : mPula:GiventhatUSPula: Given that US7.00 = 91.70$ Pula.

  1. Divide the Pula amount by the USD amount to find the value of 1 USD in Pula.

    Exchange rate=91.70 Pula7.00 US\text{Exchange rate} = \frac{91.70 \text{ Pula}}{7.00 \text{ US}} Exchange rate=13.10 Pula/US\text{Exchange rate} = 13.10 \text{ Pula/US}

    The exchange rate is US 1:13.10 Pula1 : \boxed{\mathbf{13.10 \text{ Pula}}}.

    a) ii) To calculate the amount of money Tariro received after a 1% commission:
    Tariro bought US $7.00. The commission is charged on the amount being bought.

  2. Calculate the commission amount.

    Commission=1%×$7.00\text{Commission} = 1\% \times \$7.00 Commission=0.01×$7.00\text{Commission} = 0.01 \times \$7.00 Commission=$0.07\text{Commission} = \$0.07

  3. Subtract the commission from the initial amount of USD.

    Amount received=$7.00−$0.07\text{Amount received} = \$7.00 - \$0.07 Amount received=$6.93\text{Amount received} = \$6.93 The amount of money Tariro received is \boxed{\mathbf{\6.93}}$.

    b) To calculate the original price of the suit before the sale:
    The original price was reduced by 16% to 210.Thismeans210. This means 210 represents 100%−16%=84%100\% - 16\% = 84\% of the original price.

  4. Let the original price be PP.

    Set up the equation. 0.84×P=$2100.84 \times P = \$210

  5. Solve for PP.

    P=$2100.84P = \frac{\$210}{0.84} P=$250P = \$250 The original price of the suit was \boxed{\mathbf{\250}}$.

    c) To calculate the value of PP (the principal amount):
    Given: Simple Interest (II) = 2010,Rate(2010, Rate (R)=3) = 3% = 0.03, Time (T)=5years.Theformulaforsimpleinterestis) = 5 years. The formula for simple interest is I = P \times R \times T$.

  6. Rearrange the formula to solve for PP.

    P=IR×TP = \frac{I}{R \times T}
  7. Substitute the given values into the formula.

    P=$20100.03×5P = \frac{\$2010}{0.03 \times 5} P=$20100.15P = \frac{\$2010}{0.15}

  8. Calculate the value of PP.

    P=$13400P = \$13400 The value of PP is \boxed{\mathbf{\13400}}$.

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