Exercise 7.2
- 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 Rs. 1450 and two shirts marked at Rs. 850 each?
Marked Price (MP) of Jeans = ₹ 1450 while MP of two shirts = ₹ 850 × 2 = ₹
Thus, total MP = ₹ 1450 + ₹ 1700 = ₹
We have discount = 10 % and SP = MP × 1 − discount 100
Thus, SP = 10 100
Thus, the customer will have to pay ₹ 2,835.
- The price of a TV is Rs. 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.
We have: Marked price of the TV = ₹
We know that: SP =
Substituting: SP =
The required amount that has to be paid = ₹ 14,560.
- Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs. 1,600, find the marked price.
Assume the MP of the skates be ₹ 100. Thus, discount = ₹ 20 % of
Sale price = ₹
If SP is ₹ 80 then MP = ₹
If SP is ₹ 1,600 then MP = ₹ 100 80
Thus, the marked price for the skates is ₹ 2000.
- I purchased a hair-dryer for Rs. 5,400 including 8% VAT. Find the price before VAT was added.
Assume the original price be ₹ 100. Thus, VAT = 8% of
Hence, Sale price = ₹ 100 + ₹ 8 = ₹
Now, if SP is ₹ 108 then original price = ₹
If SP is ₹ 5,400 then the original price = ₹ 100 108
Thus, the price of hair-dryer before the addition of VAT = ₹ 5000.
- An article was purchased for Rs. 1239 including GST of 18 %. Find the price of the article before GST was added?
The price including GST is Rs. 1239 with the GST rate at 18%.
The price including GST is calculated as: 1239 =
x × 1 + 18 100 1239 which gives: x ×
So, x = 1239 1.18
So, the price of the article before GST was Rs. 1050.