1. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1450 and two shirts marke... 1. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1450 and two shirts marked at ₹850 each? 2. The price of a TV is ₹13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. 3. Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹1,600, find the marked price. 4. I purchased a hair-dryer for ₹5,400 including 8% VAT. Find the price before VAT was added. 5. An article was purchased for ₹1,239 including GST of 18%. Find the price of the article before GST was added.
Understand the Problem
The question asks for assistance in solving a series of mathematical problems related to discounts, sales tax, VAT, and GST. Specifically, it involves calculating final prices after applying discounts and taxes.
Answer
The final price to be paid is ₹2835.
Answer for screen readers
The customer would have to pay ₹2835 for a pair of jeans and two shirts after the discount.
Steps to Solve
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Calculate the total marked price of the jeans and shirts
The marked price of the jeans is ₹1450 and each shirt is ₹850, with two shirts in total.
Total marked price = Price of jeans + (Price of one shirt × Number of shirts)
$$ \text{Total marked price} = 1450 + (850 \times 2) $$
$$ \text{Total marked price} = 1450 + 1700 = 3150 $$
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Apply the discount
The shop offers a discount of 10%. We need to calculate the discount amount and subtract it from the total marked price.
Discount amount = Total marked price × Discount percentage
$$ \text{Discount amount} = 3150 \times 0.10 $$
$$ \text{Discount amount} = 315 $$
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Calculate the final price after discount
Now we calculate the final price to be paid after applying the discount.
Final price = Total marked price - Discount amount
$$ \text{Final price} = 3150 - 315 $$
$$ \text{Final price} = 2835 $$
The customer would have to pay ₹2835 for a pair of jeans and two shirts after the discount.
More Information
This calculation helps in understanding how discounts work in retail sales. Knowing how to calculate final prices can lead to better budgeting and savings while shopping.
Tips
- Forgetting to multiply the price of one shirt by the total number of shirts before calculating the discount.
- Misapplying the discount percentage to the wrong total or not converting the percentage to a decimal.
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