1. **State the problem:** We have two shops selling the same laptop. Shop A sells it for 475 with a 16% discount. Shop B sells it with a 15% discount, and the total price after discount is 408. We need to find which shop offers more savings.
2. **Formulas and rules:**
- Discount amount = Original price \times Discount rate
- Sale price = Original price - Discount amount
3. **Calculate Shop A's discount and sale price:**
- Discount for Shop A = $475 \times 0.16 = 76$
- Sale price for Shop A = $475 - 76 = 399$
4. **Calculate Shop B's original price:**
- Let original price for Shop B be $x$
- After 15% discount, price is $408$
- So, $x - 0.15x = 408$ which simplifies to $0.85x = 408$
- Solve for $x$: $$x = \frac{408}{0.85} = 480$$
5. **Calculate Shop B's discount:**
- Discount for Shop B = $480 \times 0.15 = 72$
6. **Compare savings:**
- Shop A saves $76$
- Shop B saves $72$
**Conclusion:** Shop A saves more money by $4$.
Laptop Discount 770B66
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