Discount Rate Calculation
1. Problem 6: Find the discount rate for a wristwatch originally priced at 5990 but sold for 5091.50.
The discount amount is calculated by subtracting the sale price from the original price: $$5990 - 5091.50 = 898.50$$
The discount rate is the discount amount divided by the original price, multiplied by 100 to get a percentage: $$\text{Discount Rate} = \frac{898.50}{5990} \times 100 = 15\%$$
2. Problem 7: Camel bought 3 boxes of mango bars at 37 each and 5 packs of baked cashew nuts at 150 each, with a 3% discount on total purchase.
First, find the total before discount: $$3 \times 37 + 5 \times 150 = 111 + 750 = 861$$
Calculate the discount amount: $$0.03 \times 861 = 25.83$$
Calculate the total amount paid after discount: $$861 - 25.83 = 835.17$$
3. Problem 8: Nick availed a discount of 19.30 at a 2% discount rate. Find how much he paid.
Let the original price be $x$. Given discount amount = 19.30 and discount rate = 2%, then:
$$0.02x = 19.30 \implies x = \frac{19.30}{0.02} = 965$$
Amount paid = Original price - Discount = $$965 - 19.30 = 945.70$$
4. Problem 9: A calculator priced at 13575 was sold at 11267.25. Find discount amount and rate.
Discount amount: $$13575 - 11267.25 = 2307.75$$
Discount rate: $$\frac{2307.75}{13575} \times 100 = 17\%$$
5. Problem 10: An appliance center pays 25990 for a sala set and sells it with 10% markup.
Markup amount: $$0.10 \times 25990 = 2599$$
Selling price: $$25990 + 2599 = 28589$$
Final answers:
- Problem 6: Discount rate is $15\%$.
- Problem 7: Discount saved is 25.83, amount paid is 835.17.
- Problem 8: Nick paid 945.70 for his items.
- Problem 9: Discount is 2307.75, rate is $17\%$.
- Problem 10: Markup price is 2599, selling price is 28589.