(2) The chart shows production of dif f erent f ruits in a f arm. If production of guava was 9375 Kg, f ind the total production.

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ID : ph-7-percentage [1] Grade 7 Percentage For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find: A) 0.4 of Rs. 879 B) 5 of 457 Kg. C) 9 of 351 Km.

1 ID : ph-7-percentage [1] Grade 7 Percentage For more such worksheets visit Answer t he quest ions (1) Find: A) 0.4 of Rs. 879 B) 5 of 457 Kg. C) 9 of 351 Km. D) 6 of 929 seconds E) 60 of Rs. 35 F) 0.2 of 794 meters (2) The chart shows production of dif f erent f ruits in a f arm. If production of guava was 9375 Kg, f ind the total production. (3) Convert the f ollowing f raction into percentage f raction f orm : A) 215 B) 877 C) D) 63 E) 206 F) (4) Convert the f ollowing percent into f ractions in the simplest f orm: A) 4 B) 97 C) 6 D) 48 (5) Melchor's income is 20 less than Crisanto's income, Rizalyn's income is 40 less than Melchor's income, and Laarnie's income is 20 less than Melchor's income. If Crisanto gave 30 of his income to Rizalyn and 70 of his income to Laarnie. What would be the f raction of Rizalyn's new income and Laarnie's new income? (6) 3.6 is what percent of 60? Choose correct answer(s) f rom given choice (7) One ticket to a show costs 40. Luzvimindo buys a total of 5 tickets f or the show using a coupon that gives him a 20 discount. Marivic buys 9 tickets using a coupon that gives a 30 discount. How much more did Marivic pay than Luzvimindo? a. 95 b. 90 c. 92 d. 88

2 (8) If x is 25 more than y, then y is less than x by what percentage? a. 25 b ID : ph-7-percentage [2] c. 20 d Fill in the blanks (9) Find the number whose: A) 30 less than = B) less than = C) 80 more than 160 = D) 60 less than 300 = E) 90 more than 140 = F) 80 less than = (10) An electrician bought an old TV f or He then spent 40 f or f ixing it, and then sold it f or He gained in total. (11) ( of 6) + (6 of ) + 6 = (12) What percent of : A) Rs. 83 is 332 paisa = B) Rs. 19 is 950 paisa = C) 21 dozens is = D) 22 days is hours = E) 55 Km. is meters = F) 54 dozens is = (13) A shopkeeper sold a toy at a loss of 26. Had he sold it f or 250 more, he would have gained 24. The cost price of toy is. (14) Find the number whose: A) 9.36 is 78 of number? B) 0.3 is 30 of number? C) 5.6 is 35 of number? D) 15.3 is 90 of number? Check True/False (15) If salary of Iska is 23 more than salary of Bayani, salary of Bayani will be 23 less than salary of Iska. True False

4 Answers ID : ph-7-percentage [4] (1) A) Rs. If you read the question caref ully, you will notice that you have to f ind out the 0.4 of Rs We can write 0.4 of Rs. 879 as: 0.4 of Rs. 879 = = = = Rs. Now 0.4 of Rs. 879 is Rs.. B) Kg. If you read the question caref ully, you will notice that you have to f ind out the 5 of 457 Kg.. We can write 5 of 457 Kg. as: 5 of 457 Kg. = = 457 = 2285 = Kg. Now 5 of 457 Kg. is Kg..

5 C) Km. ID : ph-7-percentage [5] If you read the question caref ully, you will notice that you have to f ind out the 9 of 351 Km.. We can write 9 of 351 Km. as: 9 of 351 Km. = = 351 = = Km. Now 9 of 351 Km. is Km.. D) seconds If you read the question caref ully, you will notice that you have to f ind out the 6 of 929 seconds. We can write 6 of 929 seconds as: 6 of 929 seconds = = 929 = = seconds Now 6 of 929 seconds is seconds.

6 E) 21 Rs. ID : ph-7-percentage [6] If you read the question caref ully, you will notice that you have to f ind out the 60 of Rs. 35. We can write 60 of Rs. 35 as: 60 of Rs. 35 = = 35 = 2 = 21 Rs. Now 60 of Rs. 35 is 21 Rs.. F) meters If you read the question caref ully, you will notice that you have to f ind out the 0.2 of 794 meters. We can write 0.2 of 794 meters as: 0.2 of 794 meters = = 794 = = meters Now 0.2 of 794 meters is meters.

7 (2) Kg ID : ph-7-percentage [7] If you look at the given chart caref ully, you will notice that the production of f ruits banana, guava, peach, apple in a f arm is 25, 37.5, 25, 12.5 respectively. Since production of guava is 9375 Kg, which is 37.5 of a f arm. or we can say that the 37.5 production of a f arm = 9375 Kg 1 production of a f arm = production of a f arm = = Kg Since production of a f arm is Kg, theref ore the total production will be Kg. (3) A) B) C) D) E) F)

8 (4) A) 1 ID : ph-7-percentage [8] 25 To convert any percent into f raction, we have to divide it by. 4 can be converted into f raction as: 4 = 4 = 1 25 Now the f raction of 4 in the simplest f orm is B) 97 To convert any percent into f raction, we have to divide it by. 97 can be converted into f raction as: 97 = 97 = 97 Now the f raction of 97 in the simplest f orm is 97.

9 C) 3 ID : ph-7-percentage [9] 50 To convert any percent into f raction, we have to divide it by. 6 can be converted into f raction as: 6 = 6 = 3 50 Now the f raction of 6 in the simplest f orm is D) To convert any percent into f raction, we have to divide it by. 48 can be converted into f raction as: 48 = 48 = Now the f raction of 48 in the simplest f orm is

10 ID : ph-7-percentage [10] (5) In the question, there are f our people: Melchor, Rizalyn, Laarnie and Crisanto. Everyone's income is directly or indirectly told in terms of Crisanto's income. Let's write Melchor's, Rizalyn's and Laarnie's income as a percentage of Crisanto's income f irst. Melchor's income: Melchor's income is 20 less than Melchor's income. T his means, Melchor's income is ( - 20) = 80 of Crisanto's income Step 4 Rizalyn's income: Rizalyn's income is 40 less than Melchor's income. T his means, Rizalyn's income is ( - 40) = 60 of Melchor's income = 60 of 80 of Crisanto's income...[melchor's income is 80 of Crisanto's income] = of Crisanto's income = (60 80)/ of Crisanto's income...[when we multiply two percentages, we need to divide by to get final percentage] = 4800/ of Crisanto's income = 48 of Crisanto's income Step 5 Laarnie's income: Laarnie's income is 20 less than Melchor's income. T his means, Laarnie's income is ( - 20) = 80 of Melchor's income = 80 of 80 of Crisanto's income = of Crisanto's income = (80 80)/ of Crisanto's income = 64 of Crisanto's income Step 6 We have just f ound that: Rizalyn's income = 48 of Crisanto's income Laarnie's income = 64 of Crisanto's income Crisanto gives 30 of his income to Rizalyn and 70 of his income to Laarnie. Their new incomes will be: Rizalyn's new income = ( ) = 78 of Crisanto's income Laarnie's new income = ( ) = 134 of Crisanto's income Step 7 Fraction of Rizalyn's new income to Laarnie's new income = (78 of Crisanto's income)/(134 of Crisanto's income)

11 = ID : ph-7-percentage [11] = (6) 6 (7) c. 92 Luzvimindo buys 5 tickets f or the show using a coupon that gives him a 20 discount. The price of 5 tickets = 5 40 = 200 The amount paid by Luzvimindo f or 5 tickets = The price of 5 tickets - 20 discount = = = = Marivic buys 9 tickets f or the show using a coupon that gives him a 30 discount. The price of 9 tickets = 9 40 = 360 The amount paid by Marivic f or 9 tickets = The price of 9 tickets - 30 discount 30 = = = = 252 T heref ore the amount that Marivic pays more than Luzvimindo, = = 92

12 (8) c. 20 ID : ph-7-percentage [12] We have been told that x is 25 more than y. This statement can be written as: x = y + (y 25 ) The above equation tells us how to calculate x in terms of y. Let us simplif y the above equation and rearrange it so that it tells us how to write y in terms of x. The above equation implies: x = y + y 4, which implies, x = y( ) which implies, x = y( ) which implies, x = 5y 4 which implies, y = 4x 5 Now, let us try to write rewrite the right hand side of the above equation as "x - something". This can be done by adding (x - x) to the right hand side. We can do that because (x - x) is zero. Our equation now becomes: y = x - x + 4x 5 which implies, y = x - (x - 4x 5 ) which implies, y = x - 5x - 4x 5 which implies, y = x - x 5 Step 4 Looking at the equation above, now we know that:"y is less than x by a f actor of 1 5 ". Step 5 To convert a f actor into percentage, we need to multiply the f actor by. This means, f ollowing two statements mean the same:

13 ID : ph-7-percentage [13] "y is less than x by a f actor of 1 5." AND "y is less than x by 5 percent." Step 6 If we write the percentage we just f ound as a mixed f raction, we can say that: "y is less than x by 20 " (9) A) 70 Lets assume x is 30 less than. Now x = - 30 of = = - = - 30 = 70 Theref ore we can say that 30 less than is 70. B) 0 Lets assume x is less than. Now x = - of = - = - = - = 0 Theref ore we can say that less than is 0.

14 C) 288 ID : ph-7-percentage [14] Lets assume x is 80 more than 160. Now x = of 160 = = = = 288 Theref ore we can say that 80 more than 160 is 288. D) 120 Lets assume x is 60 less than 300. Now x = of 300 = = = = 120 Theref ore we can say that 60 less than 300 is 120.

15 E) 266 ID : ph-7-percentage [15] Lets assume x is 90 more than 140. Now x = of 140 = = = = 266 Theref ore we can say that 90 more than 140 is 266. F) 20 Lets assume x is 80 less than. Now x = - 80 of = = - = - 80 = 20 Theref ore we can say that 80 less than is 20.

16 (10) 11 ID : ph-7-percentage [16] Since electrician bought TV f or 1080 and spent 40 f or f ixing it, theref ore the total cost incurred = = 1120 Since he sold it f or , theref ore the selling price of TV = Now gain = selling price of TV - total cost of TV = = Step 4 Now gain percentage = gain total cost of TV = = = 11 Step 5 Theref ore the percentage of his gain = 11 (11) 18 ( of 6) = 6 / = 6 (6 of ) = 6/ = 6 Theref ore, ( of 6) + (6 of ) + 6 = = 18

17 (12) A) 4 ID : ph-7-percentage [17] Lets assume x percent of Rs. 83 is 332 paisa. Since we know that 1 Rs. = paisa, theref ore Rs. 83 = 83 paisa = 8300 paisa Now we can represent x percent of 8300 paisa is 332 paisa as: 8300 x = x = 8300 x = 0.04 Converting x into percent x = 0.04 x = 4 Step 4 Theref ore we can say that 4 of Rs. 83 is 332 paisa. B) 50 Lets assume x percent of Rs. 19 is 950 paisa. Since we know that 1 Rs. = paisa, theref ore Rs. 19 = 19 paisa = 1900 paisa Now we can represent x percent of 1900 paisa is 950 paisa as: 1900 x = x = 1900 x = 0.5 Converting x into percent x = 0.5 x = 50 Step 4 Theref ore we can say that 50 of Rs. 19 is 950 paisa.

18 C) 74 ID : ph-7-percentage [18] Lets assume x percent of 21 dozens is Since we know that 1 dozen = 12, theref ore 21 dozens = = 252 Now we can represent x percent of 252 is as: 252 x = x = x = 0.74 Converting x into percent x = 0.74 x = 74 Step 4 Theref ore we can say that 74 of 21 dozens is D) 72 Lets assume x percent of 22 days is hours. Since we know that 1 day = 24 hours, theref ore 22 days = hours = 528 hours Now we can represent x percent of 528 hours is hours as: 528 x = x = x = 0.72 Converting x into percent x = 0.72 x = 72 Step 4 Theref ore we can say that 72 of 22 days is hours.

19 E) 48 ID : ph-7-percentage [19] Lets assume x percent of 55 Km. is meters. Since we know that 1 Km. = 0 meters, theref ore 55 Km. = 55 0 meters = meters Now we can represent x percent of meters is meters as: x = x = x = 0.48 Converting x into percent x = 0.48 x = 48 Step 4 Theref ore we can say that 48 of 55 Km. is meters. F) 98 Lets assume x percent of 54 dozens is Since we know that 1 dozen = 12, theref ore 54 dozens = = 648 Now we can represent x percent of 648 is as: 648 x = x = x = 0.98 Converting x into percent x = 0.98 x = 98 Step 4 Theref ore we can say that 98 of 54 dozens is

20 (13) 500 ID : ph-7-percentage [20] Lets assume the cost price of toy is Rs. x. If you read the question caref ully, you will notice that the shopkeeper sold a toy at a loss of or loss = x The sale price of toy = cost price of toy - loss = x - x 26 Step 4 If he sold it f or 250 more, he would have gained 24, The sale price of toy = x - x (1) Gain = x 24 Step 5 Now the sale price of toy = cost price of toy + gain = x + x Step (2) By comparing equation (1) and (2), LHS(Lef t Hand Side) are equal theref ore the RHS(Right Hand Side) are also equal x + x 24 = x - x x + 24x - x + 26x = x + 26x = x + 26x = x = 250 x = x = 500 Step 7 Theref ore the cost price of toy is 500.

21 ID : ph-7-percentage [21] (14) A) 12 Lets assume 9.36 is 78 of x. Now we can represents 9.36 is 78 of x as: x 78 = x = 9.36 x = x = x = 12 Theref ore we can say that 9.36 is 78 of 12.

22 C) 16 ID : ph-7-percentage [22] Lets assume 5.6 is 35 of x. Now we can represents 5.6 is 35 of x as: x 35 = x = 5.6 x = x = x = 16 Theref ore we can say that 5.6 is 35 of 16. D) 17 Lets assume 15.3 is 90 of x. Now we can represents 15.3 is 90 of x as: x 90 = x = 15.3 x = x = x = 17 Theref ore we can say that 15.3 is 90 of 17.

23 (15) False ID : ph-7-percentage [23] When salary of Bayani is compared with salary of Iska, percentage is calculated using ratio of salary dif f erence relative to Iska's salary. While if we compare salary of Iska with salary of Bayani, the absolute dif f erence remains same, but relative dif f erence will change, since now percentage will be relative to Bayani's salary. Theref ore, these two percentages will be dif f erent. Hence, this statement is False.

Grade 6 Percentage. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks

Grade 6 Percentage. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks ID : ae-6-percentage [1] Grade 6 Percentage For more such worksheets visit www.edugain.com Answer t he quest ions (1) Find: A) 7% of 112 Km. B) 0.2% of 122 hours C) 2% of 381 seconds D) 0.6% of 194 seconds