Class 8 Exam > Class 8 Notes > Class 8 Mathematics by VP Classes > NCERT Solutions: Comparing Quantities - 2 (Exercise 7.2)
NCERT Solutions for Class 8 Maths - Comparing Quantities - 2 (Exercise 7.2)
Exercise 7.2
Q1: 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?
Ans: Total marked price = ₹ (1,450 + 2 × 850)
= ₹ (1,450 +1,700)
= ₹ 3,150
Given that, the discount percentage = 10%
Discount = ₹ (10/100 x 3150) = ₹ 315
Also, Discount = Marked price − Sale price
₹ 315 = ₹ 3150 − Sale price
∴ Sale price = ₹ (3150 − 315)
= ₹ 2835
Therefore, the customer will have to pay ₹ 2,835.
Q2: 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.
Ans: On ₹ 100, the tax to be paid = ₹ 12
Here, on ₹ 13000, the tax to be paid will be = 12/100 × 13000
= ₹ 1560
Required amount = Cost + Sales Tax
= ₹ 13000 + ₹ 1560
= ₹ 14560
Therefore, Vinod will have to pay ₹ 14,560 for the TV.
Q3: 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.
Ans: Let the marked price be x
Discount percent = Discount/Marked Price x 100
20 = Discount/x × 100
Discount = 20/100 × x
= x/5
Also,
Discount = Marked price – Sale price
x/5 = x – ₹ 1600
x – x/5 = 1600
4x/5 = 1600
x = 1600 x 5/4
= 2000
Therefore, the marked price was ₹ 2000.
Q4: I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.
Ans: The price includes VAT
So, 8% VAT means that if the price without VAT is ₹ 100,
Then, the price including VAT will be ₹ 108
When price including VAT is ₹ 108, original price = ₹ 100
When price including VAT is ₹ 5400, original price = ₹ (100/108 × 5400)
= ₹ 5000
Therefore, the price of the hair dryer before the addition of VAT was ₹ 5,000.
Q5: An article was purchased for ₹ 1239 including GST of 18%. Find the price of the article before GST was added?
Ans: Let the Price of the article before including GST be x
Price of article including GST = ₹ 1239
GST(Goods and Service Tax) = 18 % of x = (18 × x) = 0.18 × x
∴ Price of article including GST = Price before GST + GST
⇒ x + (0.18x) = 1239
⇒ 1.18x = 1239
∴ x = 1239/1.18 = ₹ 1050
So, the price of article before GST was added = ₹ 1050
The document NCERT Solutions for Class 8 Maths - Comparing Quantities - 2 (Exercise 7.2) is a part of the Class 8 Course Class 8 Mathematics by VP Classes.
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FAQs on NCERT Solutions for Class 8 Maths - Comparing Quantities - 2 (Exercise 7.2)
| 1. What is compound interest? |  |
Compound interest is the additional amount earned on an initial investment or loan, where the interest is calculated not only on the principal amount but also on the accumulated interest from previous periods. It is a powerful concept that helps in the growth of investments or the increase in the cost of borrowing over time.
| 2. How is compound interest different from simple interest? | |
Compound interest is different from simple interest because it takes into account the accumulated interest from previous periods along with the principal amount, while simple interest only considers the principal amount. This means that compound interest compounds or adds to the initial investment or loan over time, leading to a higher growth rate compared to simple interest.
| 3. How is compound interest calculated? | |
Compound interest is calculated using the formula: A = P(1 + r/n)^(nt), where A is the future value or total amount, P is the principal amount, r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years. By plugging in these values into the formula, one can calculate the compound interest.
| 4. What is the significance of compound interest in investments? | |
Compound interest plays a crucial role in investments as it allows for exponential growth over time. By reinvesting the earned interest, the initial investment grows at an increasing rate. This compounding effect can lead to significant wealth accumulation and helps in achieving long-term financial goals.
| 5. How can compound interest be used to save money? | |
Compound interest can be used to save money by investing in instruments such as fixed deposits, mutual funds, or retirement accounts. By regularly contributing to these investments, the earned interest compounds over time, resulting in substantial savings. Starting early and allowing the power of compounding to work can help individuals build a sizeable nest egg for the future.
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