A shop reduce the price of a pair shoes that cost $150 by 1/5 then later increased the reduced priced by one quarter how much to the shoes cost now

To determine the final price of the shoes after the discount and subsequent increase, we can break down the calculations step-by-step.

1. **Initial Reduction**:
   - Original price of the shoes: $150
   - The discount was **1/5** of $150.
   
   \[
   \text{Discount amount} = \frac{1}{5} \times 150 = 30
   \]
   
   \[
   \text{Reduced price} = 150 - 30 = 120
   \]

2. **Subsequent Increase**:
   - The price was then increased by **one quarter** (1/4) of the reduced price of $120.
   
   \[
   \text{Increase amount} = \frac{1}{4} \times 120 = 30
   \]
   
   \[
   \text{Final price} = 120 + 30 = 150
   \]

So, the final price of the shoes is **$150**.

Would you like more details on any part of the process? 

Here are some related questions for further practice:
1. What would the price be if the initial reduction were 1/3 instead of 1/5?
2. If a second increase were 20% instead of 1/4, what would the final price be?
3. How much would the shoes cost if the initial discount was $40 instead?
4. What would happen if both the reduction and the increase were the same percentage?
5. How would the final price change if the increase applied to the original price?

**Tip:** To solve percentage problems, always perform calculations in steps, ensuring each change is applied to the correct price value.

A shop reduced the price of a pair of shoes that cost $150 by 1/5, then later increased the reduced price by one quarter. How much do the shoes cost now?

Learn how to calculate the final price of a pair of shoes originally costing $150 after a 1/5 discount and a subsequent 1/4 increase. This problem covers essential percentage concepts in calculating discounts and increments, suitable for students in Grades 6-8.

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