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The denominator of a fraction is greater than its numerator by 12. If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with `1/2`. Find the fraction.
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The ratio of weight of copper and zinc in brass is 13 : 7. find the weight of zinc in a brass utensil weighing 700 gm.
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Use the given information and fill in the boxes with suitable numbers.
Smt. Deepanjali purchased a house for ₹ 7,50,000 from Smt. Leelaben through an agent. Agent has charged 2% brokerage from both of them.
(1) Smt. Deepanjali paid `square xx square/square` = ₹ `square` brokerage for purchasing the house.
(2) Smt. Leelaben paid brokerage of ₹ `square`.
(3) Total brokerage received by the agent is ₹ `square`.
(4) The cost of house Smt. Deepanjali paid is ₹ `square`.
(5) The selling price of house for Smt. Leelaben is ₹ `square`.
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Find three conescutive whole numbers whose sum is more than 45 but less than 54.
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In a two digit number, digit at the ten's place is twice the digit at units's place. If the number obtained by interchanging the digits is added to the original number, the sum is 66. find the number.
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Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.
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Of the three consecutive natural numbers, five times the smallest number is 9 more than four times the greatest number. Find the numbers.
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Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending ₹ 54. Then he sold the bicycle to Nikhil for ₹ 1134 with no loss and no profit. Find the cost price of the bicycle for which Raju purchased it.
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A Cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.
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Sudhir's present age is 5 more than three times the age of Viru. Anil's age is half the age of Sudhir. If the ratio of the sum of Sudhir's and Viru's age to three times Anil's age is 5:6, then find Viru's age.
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Observe the following graph and answer the question.

- State the type of the graph.
- How much is the savings of Vaishali in the month of April?
- How much is the total savings of Saroj in the months March and April?
- How much more is the total savings of Savita than the total savings of Megha?
- Whose savings in the month of April is the least?
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The number of boys and girls in std 5 to std 8 in a Z.P. school is given in the table. Draw a subdivided bar graph to show the data.
(Scale : On Y axis, 1 cm = 10 students)
| Standard | 5th | 6th | 7th | 8th |
| Boys | 34 | 26 | 21 | 25 |
| Girls | 17 | 14 | 14 | 20 |
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In the following table number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph.
| Town → | Karjat | Wadgoan | Shivapur | Khandala |
| Year ↴ | ||||
| 2016 | 150 | 250 | 200 | 100 |
| 2017 | 200 | 300 | 250 | 150 |
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In the following table, data of the transport means used by students in 8th standard for commutation between home and school is given. Draw a subdivided bar diagram to show the data.
(Scale : On Y axis : 1 cm = 500 students)
| Town → | Paithan | Yeola | Shahapur |
| Mean of Communication ↴ | |||
| cycle | 3250 | 1500 | 1250 |
| Bus and Auto | 750 | 500 | 500 |
| On foot | 1000 | 1000 | 500 |
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Compare the numbers `5/4 and 2/3`. Write using the proper symbol of <, =, >.
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Compare the rational numbers `(-7)/9 and 4/5`.
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Compare the numbers `(-7)/3 and (-5)/2`.
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`3/5 and 6/10` are rational numbers. Compare them.
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