Comparing Quantities

• This is an assignment of comparing quantities.

Decimal Form

• 12% expressed in decimal form is 0.12.
• 25% expressed in decimal form is 0.25.

Evaluation

• 20% of 400 is 80.
• 25/2 % of 625 is 78.125.

Finding x

• If 20% of x is 25, then x is 125.

Fraction Form

• 35% expressed as a fraction is 7/20.
• 64% expressed as a fraction is 16/25.

Percentage Form

• 1(3/5) expressed as a percentage is 160%.
• The ratio 2:5 expressed as a percentage is 40%.

School Population

• If 24% of students are boys and there are 456 girls, the total number of students in the school is 600.

Profit Percentage

• If the cost of 15 articles equals the selling price of 12 articles, the profit percent is 25%.

Discount Percentage

• An article marked at ₹940 and sold for ₹799 has a discount percent of 15%.

Price Before VAT

• A watch bought for ₹2,700 including 8% VAT had a price of ₹2,500 before VAT was added.

Net Increase/Decrease Percent

• If a number is increased by 20% and then decreased by 20%, the net decrease is 4%.

Election Calculation

• Raman gets 46% of the valid votes and is defeated by 1600 votes, so the total number of valid votes cast in the election is 20,000.

Savings Percentage

• If a man whose income is ₹57,600 a year spends ₹43,200 a year, the percentage of his income he saves is 25%.

Seller's Received Amount

• A CD player purchased for ₹3,200 has ₹560 spent on its repairs, and is then sold at a gain of 12(1/2) %, the seller receives ₹4,230.

Net Selling Price

• A car marked at ₹3,00,000, with successive discounts of 6%, 4% and 2(1/2) %, has a net selling price of ₹2,63,220.

List Price

• Ramesh bought a shirt for ₹336 including 12% ST and a tie for ₹110 including 10% ST, the list price of the shirt and the tie together (without sales tax) is ₹400.

Compound Interest

• The amount of ₹6,250 at 8% per annum compounded annually for 2 years is ₹7,290, with a compound interest of ₹1,040.

Compound Interest Calculation

• The compound interest on ₹31,250 at 12% per annum for 1 1/2 years is ₹5,821.88.

Cost Price

• Vishakha offers a discount of 20% and still makes a profit of 12% on an article marked at ₹280, so the cost price of the article is ₹200.

Compound Interest Calculation

• The compound interest on ₹48,000 for one year at 8% per annum when compounded half yearly is ₹3,916.80.

Compound Interest Calculation

• The amount if ₹2,000 is invested for 2 years at 4% p.a. compounded annually is ₹2,163.20.

Gain or Loss

• A shopkeeper purchased 200 bulbs for ₹10 each, 5 were discarded, and the remainder sold at ₹12 each, the gain percent is 14.29%.

Profit/Loss Percent

• A second hand TV for ₹2500 has ₹500 spent on repairs and is sold for ₹3300, the profit percent is 10%.

Loan Repayment

• The amount has to paid on a loan of ₹12000 for 1½ years at 10% per annum compounded half yearly is ₹14,013.

Population Calculation

• If the population of a city was ₹20,000 in 1997 and it increased at 5% per annum, the population at the end of the year 2000 is ₹23,152.50.

Finding Discount

• A fan marked at ₹15600 and available for ₹12480 has a discount of ₹3120 and a discount percent of 20%.

Percentage Conversion

• 5/2 as a percentage is 250%.

Price Increase over time

• The current price of a box which was ₹25000 last year and increased by 20% this year should be ₹30,000.

Population Increase over time

• The population of a city after 2 years, which is currently 20 lakh, if the rate of increase is 5% per annum will be 22.05 lakh.

VAT and Profit

• VAT is not part of the profit if customers pay VAT to the shopkeeper in addition to the selling price.

Compound Interest

• The formula to calculate compound interest is Amount = Principal (1 + Rate/100)^Time.

Cost Price Calculation

• If the item purchased for ₹100 and spent on the item cost ₹15 on its transportation, then the actual cost price of the item for the shopkeeper is ₹115.

Overhead Charges

• Overhead charges are added to the Cost Price (CP).

Bill Amount

• If the cost of a doll is ₹750 and sales tax is charged at 5%, the sales tax should be ₹37.50 and the bill amount should be ₹787.50.

Simple Interest

• If a sum of ₹10,000 is borrowed at 15% per annum for 2 years, the simple interest is ₹3,000 and the amount to be paid at the end of 2 years is ₹13,000.

Interest Amount

• Mario invested ₹8,000 in a domain and would be paid interest at 5% per annum calculated annually, the amount credited against their name at the end of the third year is ₹9,261.

Bill Calculation

• If the cost of shoes was ₹700 and the sales tax charged was 10%, the bill amount is ₹770.

Price Before

• The price before VAT of a pair of shoes for ₹300 including a tax of 10% is ₹272.73.

Performance

• Vanshika got 150 out of 200 and Sakshi got 120 marks out of 180, Vanshika's performance is better.

This assignment covers key concepts in comparing quantities, including converting percentages to decimals and fractions. It also covers finding percentages of numbers, solving for unknowns, and calculating profit and discount percentages. Real-world applications such as VAT and population calculations are included.