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Comparing Quantities

    Exercise 7.2

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8th class > Comparing Quantities > Exercise 7.2

Exercise 7.2

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 Rs. 1450 and two shirts marked at Rs. 850 each?

Instructions

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−discount100
Thus, SP = × (1 - 10100) = × =
Thus, the customer will have to pay ₹ 2,835.

2. 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.

Instructions

We have: Marked price of the TV = ₹ with sales tax = %
We know that: SP = ×
Substituting: SP = × (1 + ) = × =
The required amount that has to be paid = ₹ 14,560.

3. 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.

Instructions

Assume the MP of the skates be ₹ 100. Thus, discount = ₹ 20 % of = ₹
Sale price = ₹ – ₹ = ₹
If SP is ₹ 80 then MP = ₹ which further gives us: if SP is ₹ 1 then MP = ₹
If SP is ₹ 1,600 then MP = ₹ 10080 × 1600 = ₹
Thus, the marked price for the skates is ₹ 2000.

4. I purchased a hair-dryer for Rs. 5,400 including 8% VAT. Find the price before VAT was added.

Instructions

Assume the original price be ₹ 100. Thus, VAT = 8% of = ₹
Hence, Sale price = ₹ 100 + ₹ 8 = ₹
Now, if SP is ₹ 108 then original price = ₹ . Further on, if SP is ₹ 1 then the original price = ₹
If SP is ₹ 5,400 then the original price = ₹ 100108 × 5,400 = ₹
Thus, the price of hair-dryer before the addition of VAT = ₹ 5000.

5. An article was purchased for Rs. 1239 including GST of 18 %. Find the price of the article before GST was added?

Instructions

The price including GST is Rs. 1239 with the GST rate at 18%.
The price including GST is calculated as: 1239 = x + × x where x is the price before addition of GST.
x × 1+18100 = 1239 which gives: x × = 1239
So, x = 12391.18 =
So, the price of the article before GST was Rs. 1050.