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• 94.27
i guess the answer would be =101.34/1.075= 94.27
• 108.94

The exchange rate decreased to 101.34 units of the price currency per 1 unit of the base currency. For ease of explanation, let’s suppose this exchange rate is quoted in Japanese yen (¥) per United States dollar (\$).

A decrease of the yen-per-dollar exchange rate to 101.34 is equal to an increase in the dollar-per-yen exchange rate to 1/101.34 dollars per yen. We are told this exchange rate appreciated by 7.5%.

That means the exchange rate was (1/101.34) / 1.075 = 0.009179 dollars per yen, which is equivalent to 108.94 yen per dollars.

Alternatively, because (1 / 1.075) – 1 = -6.98%, a 7.5% appreciation of the dollar-per-yen exchange rate is equivalent to a 6.98% depreciation of the yen-per-dollar exchange rate. If the exchange rate was X, that means X(1 - 6.98%) = 101.34. Solve for X = 108.94.