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 4.8 pesos = 1 baht, Pandora has set 7.5 soles = 1 baht, and Oz has set 0.3 rupee = 1 baht.

What is the official exchange rate between rupees and pesos?

1 peso = ______ rupee(s)

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 4.8 pesos = 1 baht, Pandora has set 7.5 soles = 1 baht, and Oz has set 0.3 rupee = 1 baht.

What is the official exchange rate between rupees and pesos?

1 peso = ______ rupee(s)

BlackTom AI · Accepted Answer

With all three currencies fixed to a common anchor (the baht), cross‑rates are obtained by converting via the baht: 1 peso = (1/4.8) baht and 1 baht = 0.3 rupee, so multiply to get rupees per peso.

1. Relevant knowledge points and concepts
- A fixed exchange rate to a common anchor means every currency’s value can be expressed in units of the anchor currency.
- Cross‑rates between two non‑anchor currencies are found by converting each to the anchor and then relating those amounts (division or multiplication as appropriate).
- Rounding to the required number of decimal places (2 decimals here) follows standard rules.

2. Complete reasoning process step by step
- Start from the given parities relative to the baht:
  - 4.8 pesos = 1 baht
  - 0.3 rupee = 1 baht
- We want rupees per peso, i.e., how many rupees equal 1 peso.
- Express 1 peso in baht, then convert that baht amount into rupees.

3. Calculations with intermediate steps
- 1 peso = 1 / 4.8 baht = 0.208333... baht
- Convert baht to rupees: 0.208333... baht × 0.3 rupee/baht = 0.0625 rupee
- Round 0.0625 to two decimal places: 0.06 (since the third decimal 2 is less than 5, 0.0625 rounds down to 0.06).

An alternative concise cross‑rate calculation: rupees per peso = (rupees per baht) ÷ (pesos per baht) = 0.3 ÷ 4.8 = 0.0625 → 0.06 when rounded to 2 decimals.

4. Why the correct answer is correct
Because both currencies are quoted against the same anchor, the cross‑rate is the ratio of their anchor quotes. The arithmetic above exactly computes rupees per peso and applies correct rounding.

5. Other options
There are no multiple‑choice alternatives provided here; any other numerical result would arise from incorrect inversion or rounding errors (for example, mistakenly computing pesos per rupee or failing to convert through the baht).

6. Conclusion and confirmation
Therefore, 1 peso = 0.06 rupee(s), which matches the provided correct answer (0.06).

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