Question

Ціна деякого товару після двох послідовних підвищень зросла на 50%, причому першого разу ціну було підвищено на 20%. На скільки відсотків відбулося друге підвищення?

Answer 1

1.5/1.2=1.25 => друге підвищення на 25%

Answer 2

Calculating the Second Price Increase

To calculate the percentage increase in price after the second increase, we can use the following approach:

1. Calculate the total increase after the first increase. 2. Use the total increase to calculate the original price before the first increase. 3. Calculate the second increase from the original price before the first increase.

Calculation Steps

1. Total Increase After First Increase: - The price increased by 20% during the first increase. - Let's denote the original price as P. After the first increase, the price becomes P + 0.20P.

2. Original Price Before First Increase: - The total price after the first increase is P + 0.20P. - This can be simplified to 1.20P. - Therefore, the original price before the first increase is P = (1.20P) / 1.20.

3. Second Increase from Original Price: - The price increased by 50% after the two increases. - Let's denote the original price before the first increase as P. The price after the second increase becomes P + 0.50P.

Calculation

Using the above steps, we can calculate the percentage increase after the second increase.

Calculation Result: - The second increase is equivalent to a 25% increase from the original price before the first increase.

Conclusion

After two consecutive price increases, the second increase resulted in a 25% increase from the original price before the first increase.