If two ratios are equivalent, then the four quantities are said to be in (a)   .

40% of 250 km is (a)   .

Suhana sells a sofa set for ₹9600 making a profit of 20%. What is the C.P. of the sofa set?

If Meenakshee pays an interest of ₹1500 for 4 years on a sum of ₹2500, find the rate of interest per annum(p.a.)

If a cheetah and tortoise travel at their top speeds for 1 minute; how much farther does the cheetah travel?

Find the ratio of speeds Cheetah and Tortoise in m/s with the given data.

Discuss with your friends to estimate the top speeds of other animals and verify it by searching the available data in other books.

Determine the ratios that are nearly equivalent to each of the following per cents : 23%, 53%, 65%, 12% and 76%.

Describe how to find 35% of a number when you know 10% of the number.

0 % of the oranges at  5 each and the remaining at  3.50 each. His ________ is ________%.

A fruit seller purchased 20 kg of apples at  50 per kg. Out of these, 5% of the apples were found to be rotten. If he sells the remaining apples at  60 per kg, then his _________is ________%.

Interest on  3000 at 10% per annum for a period of 3 years is ________.

Amount obtained by depositing  20,000 at 8 % per annum for six months is ________.

Interest on  12500 at 18% per annum for a period of 2 years and 4 months is ________.

25 ml is _________ per cent of 5 litres.

If A is increased by 20%, it equals B. If B is decreased by 50%, it equals C. Then __________ % of A is equal to C.

Explain whether a 150% increase or a 150% decrease is possible.

Compare finding a 20% increase for finding 120% of a number.

Interest = P×R×T / 100, where T is ____________ R% is ____________ and P is ____________.

The difference of interest for 2 years and 3 years on a sum of  2100 at 8% per annum is _________.

To convert a fraction into a per cent, we _________ it by 100.

To convert a decimal into a per cent, we shift the decimal point two places to the _________.

The_________ of interest on a sum of  2000 at the rate of 6% per annum for 1 1/2 years and 2 years is  420.

When converted into percentage, the value of 6.5 is _________ than 100%.

Give an example of a real-world situation in which you would use (1) decimals (2) fractions and (3) per cents.

Show  25 as a part of a 100 rupee note in terms of (1) a reduced fraction (2) a per cent and (3) a decimal. Which is most common?

Explain how you can find a fraction, decimal, or per cent when you have only one form of a number.

Look in any magazine or newspaper and you’re likely to see numbers written as per cents. Listen to any sporting event, and you’ll probably hear statistics reported using per cents. Per cents are everywhere. But what are per cents?

22 =66% 33.

When an improper fraction is converted into percentage then the answer can also be less than 100.

8 hours is 50% of 4 days.

The interest on  350 at 5% per annum for 73 days is  35.

The simple interest on a sum of  P for T years at R% per annum is given by the formula: Simple Interest = T×P×R / 100.

75% = 4/3.

12% of 120 is 100.

If Ankita obtains 336 marks out of 600, then percentage of marks obtained by her is 33.6.

0.018 is equivalent to 8%.

50% of  50 is  25.

250 cm is 4% of 1 km.

Out of 600 students of a school, 126 go for a picnic. The percentage of students that did not go for the picnic is 75.

By selling a book for  50, a shopkeeper suffers a loss of 10%. The cost price of the book is  60.

If a chair is bought for  2000 and is sold at a gain of 10%, then selling price of the chair is  2010.

If a bicycle was bought for  650 and sold for  585, then the percentage of profit is 10.

Sushma sold her watch for  3320 at a gain of  320. For earning a gain of 10% she should have sold the watch for  3300.

Interest on  1200 for 1 1/2 years at the rate of 15% per annum is  180.

Amount received after depositing  800 for a period of 3 years at the rate of 12% per annum is  896.

 6400 were lent to Feroz and Rashmi at 15% per annum for 1 3/2 and 5 years respectively. The difference in the interest paid by them is  150.

A vendor purchased 720 lemons at  120 per hundred. 10% of the lemons were found rotten which he sold at  50 per hundred. If he sells the remaining lemons at  125 per hundred, then his profit will be 16%.

Find the value of x if (i) 8% of  x is  100 (ii) 32% of x kg is 400 kg (iii) 35% of  x is  280 (v) 45% of marks x is 405.

Imagine that a 10 × 10 grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem, and label each grid “Value : 300.” (a) Shade 25% of the grid. What is 25% of 300? Compare the two answers. (b) What is the value of 25 squares? (c) Shade 17% of the grid. What is 17% of 300? Compare the two answers. (d) What is the value of 1/10 of the grid?

Express 1/6 as a per cent.

What is the area of the rectangle?

Draw a similar figure whose area is 50% larger than this figure.

Draw a similar figure whose area is 25% larger than this figure.

Suppose that the figure shown is 75% of another figure, what would the other figure look like?

Express 9/40 as a per cent.

Express 1/100 as a per cent.

Express 80% as fraction in its lowest term.

Express 40 as a per cent.

Express 100 as a per cent.

Express 80% as fraction in its lowest term.

Express 33% as a ratio in the lowest term.

Express 16% as a ratio in the lowest form.

Express 150% as a ratio in the lowest form.

Sachin and Sanjana are calculating 23% of 800. Now calculate 52% of 700 using both the ways described above. Which way do you find easier?

Is your answer reasonable?

Write 0.089 as a per cent.

Write 1.56 as a per cent.

What is 15% of 20?

What is 800% of 800?

What is 100% of 500?

What per cent of 1 hour is 30 minutes?

What per cent of 1 day is 1 minute?

What per cent of 1 km is 1000 metres?

Find out 8% of 25 kg.

What percent of 80 is 100?

45% of the population of a town are men and 40% are women. What is the percentage of children?

The strength of a school is 2000. If 40 % of the students are girls then how many boys are there in the school?

Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount of carbon and calcium (in grams) in 122 kg of chalk.

800 kg of mortar consists of 55% sand, 33% cement and rest lime. What is the mass of lime in mortar?

In a furniture shop, 24 tables were bought at the rate of 450 per table. The shopkeeper sold 16 of them at the rate of 600 per table and the remaining at the rate of 400 per table. Find her gain or loss percent.

Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has 4800 left with her. How much did she originally have?

The cost of a flower vase got increased by 12%. If the current cost is 896, what was its original cost?

Radhika borrowed 12000 from her friends. Out of which 4000 were borrowed at 18% and the remaining at 15% rate of interest per annum. What is the total interest after 3 years?

A man travelled 60 km by car and 240 km by train. Find what per cent of total journey did he travel by car and what per cent by train?

By selling a chair for 1440, a shopkeeper loses 10%. At what price did he buy it?

Dhruvika invested money for a period from May 2006 to April 2008 at rate of 12% per annum. If interest received by her is 1620, find the money invested.

A person wanted to sell a scooter at a loss of 25%. But at the last moment he changed his mind and sold the scooter at a loss of 20%. If the difference in the two SP’s is 4000, then find the CP of the scooter.

The population of a village is 8000. Out of these, 80% are literate and of these literate people, 40% are women. Find the ratio of the number of literate women to the total population.

In an entertainment programme, 250 tickets of 400 and 500 tickets of 100 were sold. If the entertainment tax is 40% on ticket of 400 and 20% on ticket of 100, find how much entertainment tax was collected from the programme.

Bhavya earns 50000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.

Show why 5% of a number is less than 1/10 of the number.

Demonstrate two ways to find 70% of a number.

Name fractions in simplest form that are the same as 40% and as 250%.

In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70 per cent marks?

Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.

If Manohar’s systolic blood pressure is 102 mm Hg, use the ratio from part (a) to predict his diastolic blood pressure.

Calculate ratio of average systolic to average diastolic blood pressure in the prehypertension category.

Compare finding a number when a per cent of the number is known to finding the per cent of one number with that of another number.

Explain whether a number is greater than or less than 36, if 22 per cent of the number is 36.

Science Application: The king cobra can reach a length of 558 cm. This is only about 60 per cent of the length of the largest reticulated python. Find the length of the largest reticulated python.

Physical Science Application: Unequal masses will not balance on a fulcrum if they are at equal distance from it; one side will go up and the other side will go down. Unequal masses will balance when the following proportion is true: mass1/mass2 = length2/length1. Two children can be balanced on a seesaw when mass1/mass2 = length2/length1. The child on the left and child on the right are balanced. What is the mass of the child on the right?

Life Science Application: A DNA model was built using the scale 2 cm : 0.0000001 mm. If the model of the DNA chain is 17 cm long, what is the length of the actual chain?

Often the time period is not given in years. Write each time period in terms of years. 3 months = _______ year.

4 months

s 17 cm long, what is the length of the actual chain?

Find (a)The ratio of consonants to vowels in each of the terms. (b)The percentage of consonants in each of the terms.

What is the error? A clothing store charges 1024 for 4 T-shirts. A student says that the unit price is 25.6 per T-shirt. What is the error? What is the correct unit price?

A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is 200 per kg and that of second variety is 300 per kg. If he sells the blended tea at the rate of 275 per kg, find out the percentage of her profit or loss.

How long will the cloth be after washing? A piece of cloth 5 m long shrinks 10 per cent on washing.

Find out the value of the first scholarship. A memorial trust donates 5,00,000 to a school, the interest on which is to be used for awarding 3 scholarships to students obtaining first three positions in the school examination every year. If the donation earns an interest of 12 per cent per annum and the values of the second and third scholarships are 20,000 and 15,000 respectively.

If each subject carries 100 marks, then find the percentage of marks obtained by Ambika in the aggregate of all the subjects. Ambika got 99 per cent marks in Mathematics, 76 per cent marks in Hindi, 61 per cent in English, 84 per cent in Science, and 95% in Social Science.

What sum of money lent out at 16 per cent per annum simple interest would produce 9600 as interest in 2 years?

For how much did Babita get it? Harish bought a gas-chullah for 900 and later sold it to Archana at a profit of 5 per cent. Archana used it for a period of two years and later sold it to Babita at a loss of 20 per cent.

Match each of the entries in Column I with the appropriate entries in Column II.

Explain the meaning of each variable in the interest formula.

What value should be used for t when referring to 6 months?

Name the different variables in the simple interest formula.

Demonstrate that doubling the time while halving the interest rate results in the same amount of simple interest.

If this means 8 marks for rebuttal, then find the total marks. In a debate competition, the judges decide that 20 per cent of the total marks would be given for accent and presentation. 60 per cent of the rest are reserved for the subject matter and the rest are for rebuttal.

Divide 10000 in two parts so that the simple interest on the first part for 4 years at 12 per cent per annum may be equal to the simple interest on the second part for 4.5 years at 16 per cent per annum.

Find the rate per cent per annum. 9000 becomes 18000 at simple interest in 8 years.

In how many years will the simple interest on a certain sum be 4.05 times the principal at 13.5 per cent per annum?

Find the sum. The simple interest on a certain sum for 8 years at 12 per cent per annum is 3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum.

Find the sum. The simple interest on a certain sum for 2.5 years at 12 per cent per annum is 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum.

When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines.