Fill in the correct number to 2 decimals to correctly complete the sentence.

Neverland, Pandora, and Oz all have fixed exchange rates with the Wonderland as their anchor currency. Neverland has set a par value of 4.7 pesos = 1 baht, Pandora has set 11.7 soles = 1 baht, and Oz has set 0.7 rupee = 1 baht.

What is the official exchange rate between soles and rupees?

1 rupee = ______ sol(es)

Question

Fill in the correct number to 2 decimals to correctly complete the sentence.

Neverland, Pandora, and Oz all have fixed exchange rates with the Wonderland as their anchor currency. Neverland has set a par value of 4.7 pesos = 1 baht, Pandora has set 11.7 soles = 1 baht, and Oz has set 0.7 rupee = 1 baht.

What is the official exchange rate between soles and rupees?

1 rupee = ______ sol(es)

BlackTom AI · Accepted Answer

Since both Pandora's soles and Oz's rupees are pegged to the baht, the cross-rate between soles and rupees is the ratio of their par values to the common anchor currency (baht).

1. Relevant knowledge points and concepts
- A fixed (pegged) exchange rate to a common anchor means cross-rates are derived by dividing the par values relative to the anchor.
- If A units of currency X = 1 baht and B units of currency Y = 1 baht, then 1 unit of Y = A / B units of X (or vice versa, depending on which direction you want).

2. Step-by-step reasoning
- Pandora: 11.7 soles = 1 baht.
- Oz: 0.7 rupee = 1 baht.
- Set these equal via the baht: 11.7 soles = 0.7 rupee.
- Solve for 1 rupee in soles: divide both sides by 0.7.

3. Intermediate calculations
- 11.7 ÷ 0.7 = 11.7 × (1 / 0.7).
- 1 / 0.7 = 1.4285714286 (repeating).
- 11.7 × 1.4285714286 = 16.7142857143 (repeating).
- Round to two decimals: 16.7142857143 → 16.71.

(Alternate method: convert 1 rupee to baht: 1 rupee = 1 / 0.7 = 1.428571... baht; then convert baht to soles: 1.428571... × 11.7 = 16.714285... soles.)

4. Why the correct answer is correct
Because both currencies are defined per 1 baht, the direct ratio yields the number of soles that equal one rupee. The arithmetic gives 16.714285..., which correctly rounds to 16.71 soles per rupee to two decimal places.

5. Why other possible answers would be incorrect
- Inverting the ratio (0.0599...) would give soles per rupee inverted (rupees per sole), which is the wrong direction.
- Using Neverland’s pesos would be irrelevant unless converting via pesos; doing so without proper conversion would produce incorrect cross-rates.
- Any failure to round correctly to two decimals or to compute the division precisely leads to small but avoidable errors.

6. Conclusion
The official exchange rate is 1 rupee = 16.71 soles, matching the provided answer.

Similar Questions

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