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 ₹13000. 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 ₹1600, find the marked price. 4. I purchased a hair-dryer for ₹5400 including 8% VAT. Find the price before VAT was added. 5. An article was purchased for ₹1239 including GST of 18%. Find the price of the article before GST was added. Read more

Steps to Solve

1. Calculating Total Price Before Discount

   To find the amount payable for the jeans and shirts, first, calculate the total marked price before the discount.

   • Price of jeans: ₹1450
   • Price of two shirts: ( 2 \times ₹850 = ₹1700 )

   The total marked price is: $$ \text{Total marked price} = ₹1450 + ₹1700 = ₹3150 $$

2. Calculating Discount Amount

   Next, calculate the discount applied on the total marked price. The discount is 10%.

   $$ \text{Discount} = 10% \text{ of } ₹3150 = 0.10 \times ₹3150 = ₹315 $$

3. Calculating Final Price After Discount

   Finally, subtract the discount from the total marked price to get the final price.

   $$ \text{Final Price} = ₹3150 - ₹315 = ₹2835 $$

4. Calculating Sales Tax for the TV

   To find the amount Vinod has to pay for the TV, calculate the sales tax on ₹13000 with a tax rate of 12%.

   $$ \text{Sales Tax} = 12% \text{ of } ₹13000 = 0.12 \times ₹13000 = ₹1560 $$

   Add the sales tax to the price of the TV.

   $$ \text{Total Amount Paid} = ₹13000 + ₹1560 = ₹14560 $$

5. Finding Marked Price for the Skates

   Knowing Arun paid ₹1600 after a 20% discount, let ( x ) be the marked price. The equation will be:

   $$ x - 20% \text{ of } x = ₹1600 $$ This simplifies to: $$ 0.80x = ₹1600 $$

   Now, solve for ( x ): $$ x = \frac{₹1600}{0.80} = ₹2000 $$

6. Finding Price Before VAT for the Hair-Dryer

   Given that the hair-dryer was purchased for ₹5400 including 8% VAT, let ( y ) be the price before VAT.

   • Total after VAT = $$ y + 8% \text{ of } y = ₹5400 $$

   This can be rewritten as: $$ 1.08y = ₹5400 $$

   Now, solve for ( y ): $$ y = \frac{₹5400}{1.08} = ₹5000 $$

7. Finding Price Before GST for the Article

   Given the article was purchased for ₹1239 including 18% GST, let ( z ) be the price before GST.

   • Total after GST = $$ z + 18% \text{ of } z = ₹1239 $$

   This simplifies to: $$ 1.18z = ₹1239 $$

   Solve for ( z ): $$ z = \frac{₹1239}{1.18} \approx ₹1050 $$