Pregunta
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Watch the video and then answer the question given below. Click here to watch the video. Joaquin pawns his favorite watch for a loan of \( \$ 120 \). After 30 days, he buys his watch back for \( \$ 140 \). What interest of the pawnbroker charge Joaquin? The pawnbroker charged Joaquin \( \% \% \). (Round to the nearest whole number as needed.)

Ask by West Brooks. in the United States
Mar 17,2025

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The pawnbroker charged Joaquin 17% interest.

Solución

1. Joaquin pawns his watch for a loan of \( \$120 \). 2. After 30 days, he buys the watch back for \( \$140 \). 3. The interest charged by the pawnbroker is the difference between what Joaquin repaid and the original loan: \[ \text{Interest} = \$140 - \$120 = \$20. \] 4. To find the interest rate as a percentage, divide the interest by the amount of the loan and then multiply by 100: \[ \text{Interest Rate} = \left(\frac{20}{120}\right) \times 100\%. \] 5. Simplify the fraction: \[ \frac{20}{120} = \frac{1}{6} \approx 0.1667. \] 6. Multiply by 100 to convert to a percentage: \[ 0.1667 \times 100\% \approx 16.67\%. \] 7. Rounding \( 16.67\% \) to the nearest whole number gives: \[ 17\%. \] Thus, the pawnbroker charged Joaquin \( 17\% \) interest.

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The Deep Dive

To find the interest charged by the pawnbroker, we first calculate the interest paid by Joaquin. He pawned his watch for \( \$ 120 \) and later bought it back for \( \$ 140 \). The interest is the difference: Interest = Buyback Price - Loan Amount Interest = \( 140 - 120 = 20 \) Next, we calculate the interest rate over the 30-day period as a percentage of the loan amount: Interest Rate = (Interest / Loan Amount) × 100 Interest Rate = (20 / 120) × 100 ≈ 16.67\% Rounded to the nearest whole number, the pawnbroker charged Joaquin \( 17\% \).

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