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Grade 6 Percentages Worksheet
(1) Convert the following fractions into percentages.
☛
(a) ✌
✌
✁
✂✄
(b) ✌
✌
☎✁
✆
(c) ✌
✌
✄✆
✌
re
✌
✌
(3) Fill in the boxes correctly.
ex
✌
✌
✌
Fl
(a) ✠✍✎ ✏✑ ✍✝ ✌
(b) ☞✠✎ ✏✑ ✒✟ ✌
(c) ✓✎ ✏✑ ✟✟ ✌
iP
(a) ✝✞✟ ✌
(b) ✝✞✠✡ ✌
(c) ✝✞☞✍ ✌
p
(2) Convert the following decimals into percentages.
(4) Fill in the boxes correctly.
(a) ✠☞✎ ✏✑ ✔✝ ✌
✌
(b) ☞✠✝✎ ✏✑ ☞✍ ✌
✌
(c) ✍✝✎ ✏✑ ✠ ✌
✌
(5) Answer the following questions.
(a) Find the number whose 60% is 10.
(b) What percentage of 50 is 100?
(c) Find the number whose 100% is 0.
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(d) What percentage of 34 is 272?
(6) Answer the following questions.
(a) The number of students who like to sing, dance and draw in a
class are the ratio ✍ ✆ ✒ ✆ ✠ . Find the percentage of students who like
each of these activities. (Round off the answer to two decimal
places).
re
(7) Find the percentage increase or decrease.
p
(b) Denny weighed 68 kg in June and 72 kg a month later. Find the
percentage increase in her weight.
iP
(a) ✠✝✝ ✍ ✠✔✝
(b) ✍✝ ✍ ☞✍
(c) ✡✍ ✍ ☞✝✝
Fl
(a) ☞✝✝ ✍ ☞✝✝✝
(b) ✍✝✝ ✍ ✠✍
ex
(8) Find the percentage increase or decrease.
(9) Find the answer for the following.
(a) 50 decreased by 20%.
(b) 360 increased by 5%.
(c) 0.1% more than 100.
(d) 5% less than 440.
(10✂ ✁✄✄ ✁☎ ✝✞✟ ✠✡☛✟☞ ✌✡✎✎✟✌✝✄✏✑ ✒ ✓✔✕ ☞✁✖☎ ☞✗✌✞ ✘☞ ✔✙✚✛ ✁☎✜✁✌✘✝✟☞ ✘ ✢✟✎✌✟☎✝✘✖✟
✁☎✌✎✟✘☞✟ ✡✣ ✙✚✛✤ ✒ ✓ -✕ ☞✁✖☎ ☞✗✌✞ ✘☞ -20%, indicates a percentage decrease of -20%.
✥✁✆✦
✪✁✆✦
(a) ✠✍✝ ✧★★✩
✧★★✩
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✪ ✆✦
(b) ✄✝ ✧★★✩
✪✂✆✦
✧★★✩
(11) Answer the following questions.
(a) By selling a pair of Kurtas for Rs. 454, Sai loses 5%. For how
much should she sell it to gain 6%.
p
(b) Naina bought two dozen glasses for Rs. 72. After 5 of them
broken, she sold the rest at a loss of 10% (on the cost price of the
whole two dozen). How much did each glass cost the buyer?
Fl
ex
iP
re
✂✙ ✂ ✁✄✄ ✁☎ ✝✞✟ ✠✡☛✟☞ ✌✡✎✎✟✌✝✄✏✑ ✒ ✓✔✕ ☞✁✖☎ ☞✗✌✞ ✘☞ ✔✙✚✛ ✁☎✜✁✌✘✝ es a percentage
✁☎✌✎✟✘☞✟ ✡✣ ✙✚✛✤ ✒ ✓ -✕ ☞✁✖☎ ☞✗✌✞ ✘☞ -20%, indicates a percentage decrease of -20%.
✪✂✆✦
✥☛✆✦
✧★★✩
(a) ✓✝✝ ✧★★✩
✪☛✆✦
✥☛✆✦
(b) ✔✝ ✧★★✩
✧★★✩
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Answers and Explanations
Answer 1 (a)
Convert fractions into percentage:
✓
✠✍
Divide the top of the fraction by the bottom, multiply by 100 and
✁✂✂ ✁ ✄☎✆ ✝✞✟✠✡
✓
✠✍
✌ ✝✞☞✔
p
Step 1: Divide the top of the fraction by the bottom,
re
Step 2: Then multiply the result by 100 and read off the answer.
iP
✝✞☞✔ ✌ ☞✝✝ ✌ ☞✔✎
☛
☛
Therefore, the answer is ✌
✌ ✎✏✏ ✌ ✎✑✎
✁
☞✍
Answer 1 (b)
ex
Convert fractions into percentage:
☞✟
✡✍
Fl
Divide the top of the fraction by the bottom, multiply by 100 and
✁✂✂ ✁ ✄☎✆ ✝✞✟✠✡
Step 1: Divide the top of the fraction by the bottom,
☞✟
✡✍
✌ ✝✞✠✓
Step 2: Then multiply the result by 100 and read off the answer.
✝✞✠✓ ✌ ☞✝✝ ✌ ✠✓✎
✒✓
✂✄
Therefore, the answer is ✌
✌ ✎✏✏ ✌ ✕✖✎
✔✍
☎✁
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Answer 1 (c)
Convert fractions into percentage:
✠✝
✟✝
Divide the top of the fraction by the bottom, multiply by 100 and
✁✂✂ ✁ ✄☎✆ ✝✞✟✠✡
Step 1: Divide the top of the fraction by the bottom,
✠✝
✟✝
✌ ✝✞✠✍
Step 2: Then multiply the result by 100 and read off the answer.
re
p
✝✞✠✍ ✌ ☞✝✝ ✌ ✠✍✎
✆
☞✡
Therefore, the answer is ✌
✌ ✎✏✏ ✌ ✕
✓✡
✄✆
iP
Answer 2 (a)
Convert decimals into percentage:
✝✞✟
ex
Multiply the decimal number by 100%.
Multiply 0.8 by 100%:
✝✞✟ ✌ ☞✝✝✎ ✌ ✟✝✎
Fl
✂✁✄☎✆✝ ✞✄✠✟☎ ✠✄☛✟✆☎ ☎☞✆ ☎ ✝✞✟✠✌✡
Therefore, the answer is ✝✞✟ ✌ ✏ ✞ ✍ ✌ ✎✏✏✎ ✌ ✍✏✎
Answer 2 (b)
Convert decimals into percentage:
✝✞✠✡
Multiply the decimal number by 100%.
Multiply 0.27 by 100%:
✝✞✠✡ ✌ ☞✝✝✎ ✌ ✠✡✎
✂✁✄☎✆✝ ✞✄✠✟☎ ✠✄☛✟✆☎ ☎☞✆ ☎ ✝✞ gn).
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✡
✡
Therefore, the answer is ✝✞✠✡ ✌ ✏✞ ✕ ✌ ✎✏✏✎ ✌ ✕ ✎
Answer 2 (c)
Convert decimals into percentage:
✝✞☞✍
Multiply the decimal number by 100%.
Multiply 0.15 by 100%:
✝✞☞✍ ✌ ☞✝✝✎ ✌ ☞✍✎
✂✁✄☎✆✝ ✞✄✠✟☎ ✠✄☛✟✆☎ ☎☞✆ ☎ ✝✞✟✠✌✡
p
Therefore, the answer is ✝✞☞✍ ✌ ✏✞ ✎ ✌ ✎✏✏✎ ✌ ✎ ✎
re
Answer 3 (a)
Here, given statement:
✠✍✎ ✏✑ ✍✝
Now, 25% ✌
✁
✂✆✆
iP
☞✆✠ ✁✆ ✝✁✂ ✄✄✆☛☎✆✠☎✆ ✁✆ ✁☛✆ ☛✆✁✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
ex
✠☞✆✠ ✄☛☞✆ it mean multiplication. So, the statement like this:
✠✍
Fl
☞✝✝
✌ ✍✝ ✌
✠✍
✠
✌ ☞✠✞✍
Therefore, the correct answer is ✠✍✎ ✏✑ ✍✝ ✌
✁
✌ ✍✝ ✌ ☞✠✞✍
✂✆✆
Answer 3 (b)
Here, given statement:
☞✠✎ ✏✑ ✒✟
☞✆✠ ✁✆ ✝✁✂ ✄✄✆☛☎✆✠☎✆ ✁✆ ✁☛✆ ☛✆✁✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
Now, 12% ✌
✂
✂✆✆
✠☞✆✠ ✄☛☞✆ ✞☎ ✌✆✁✠ ✌✍✆☎✞✝✆✞☎✁☎✞✄✠✡ ✎✄✏ ☎☞✆ ✝☎✁☎✆✌✆✠☎ ✆✞✑✆ ☎☞✞✝✝
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☞✠☛
☞✝✝
✁ ✌ ✒✟ ✌
✒ ✌ ✒✟
✠✍
✌
☞☞✓
✠✍
✌ ✓✞✍✔
Therefore, the correct answer is ☞✠✎ ✏✑ ✒✟ ✌
✂
✌ ✒✟ ✌ ✓✞✍✔
✂✆✆
Answer 3 (c)
Here, given statement:
✁ ✂☛ ✄ ☎
✁
✓✎ ✏✑ ✟✟
☞✆✠ ✆ ✝✁ ✄ ✆☛ ✆✠☎✆ ✆ ✁☛✆ ☛✆✁
Now, 4% ✌
✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
✂✆✆
☞✝✝
✟✟
re
✓
p
✠☞✆✠ ✄☛☞✆ ✞☎ ✌✆✁✠ ✌✍✆☎✞✝✆✞☎✁☎✞✄✠✡ ✎✄✏ ☎☞✆ ✝☎✁☎✆✌✆✠☎ ✆✞✑✆ this:
✁ ✌ ✟✟ ✌
✠✍
✌ ✒✞✍✠
iP
Therefore, the correct answer is ✓✎ ✏✑ ✟✟ ✌
ex
Answer 4 (a)
☛
✌ ✟✟ ✌ ✒✞✍✠
✂✆✆
Here, given statement:
✁ ✂ ✄✂ ☎
✁
✠☞✎ ✏✑ ✔✝
Fl
☞✆✠ ✆ ✝✁ ✄ ✆☛ ✆✠☎✆ ✆ ✁☛✆ ☛✆✁
Now, 21% ✌
✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
✂✆✆
✠☞✆✠ ✄☛☞✆ ✞☎ ✌✆✁✠ ✌✍✆☎✞✝✆✞☎✁☎✞✄✠✡ ✎✄✏ ☎☞✆ statement like this:
✠☞
☞✝✝
☛
✁ ✌ ✔✝ ✌
✠☞ ✌ ✒
✍
✌
✔✒
✍
✌ ☞✠✞✔
Therefore, the correct answer is ✠☞✎ ✏✑ ✔✝ ✌
Answer 4 (b)
Here, given statement:
☞✠✝✎ ✏✑ ☞✍
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✂
✌ ✔✝ ✌ ☞✠✞✔
✂✆✆
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✁ ✂ ✂✄ ✆ ☎
✁
☞✆✠ ✆ ✝✁ ✄ ✆☛ ✆✠☎✆ ✆ ✁☛✆ ☛✆✁
Now, 120% ✌
✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
✂✆✆
So, the statement like this:
✠☞✆✠ ✄☛☞✆ ✞☎ ✌✆✁✠ multiplication.
☛
☞✠✝
✌ ☞✍ ☛ ✌ ✔ ✌ ✒ ✌ ☞✟
✆
☞✝✝
Therefore, the correct answer is ☞✠✝✎ ✏✑ ☞✍ ✌
✂ ✆
✌ ✍ ✌ ☞✟
✂✆✆
Answer 4 (c)
✁ ✂ ✁✆✄ ☎
✍✝✎ ✏✑ ✠
✁
✆✆✂ ✝✁✂✞✠✟ ✄✝✆☛ ✞✟✟✆✡
re
☞✆✠ ✆ ✝✁ ✄ ✆☛ ✆✠☎✆ ✆ ✁☛✆ ☛✆✁
Now, 50% ✌
p
Here, given statement:
✂✆✆
iP
✠☞✆✠ ✄☛☞✆ ✞☎ ✌ean multiplication. So, the statement like this:
✍✝
ex
☞✝✝
✌✠ ✌
✠
✠
✌☞
Answer 5 (a)
Fl
Therefore, the correct answer is ✍✝✎ ✏✑ ✠ ✌
✁✆
✌✠ ✌ ☞
✂✆✆
Here, given statement:
✔✝ ✎ ✞ ☞✝
✎☎✆✝✝ ☎✄ ✝✄✆✁✆ ✄✞✟ ✞✝ ✂✟ ✝✆☛☎✆✠☎ ✄✠ ✁☞✁☎ ✠✍✌✄✆☛☎✆
We have, ✔✝✎ ✌ ✆ ✌ ☞✝
☛✆
Or
✌ ✆ ✌ ☞✝
✂✆✆
Multiplying both sides by 100 and dividing both sides by 60,
✂✆✆
We have ✆ ✌ ☞✝ ✌
☛✆
☞✝ ✌ ☞✝✝✁✆
✍✝
✆✌
✌
✌ ☞✔✞✔✡
✔✝☛
✒
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Therefore, the number is 16.67.
Answer 5 (b)
Here, given statement:
✍✝ ✞ ☞✝✝
✄✆☛☎✆✠☎✁✟✆ ✄☛ ✝✆☛☎✆✠☎ ✁✝ ✞☎✟✝ ✝✁✞✂ ✞✝ ☎☞✆ ✠☛✁☎☎✞✄✠✟✝ ✆ ✍✞✁✁✆✆✠☎ ✁✞☎☞
a denominator ✌ hundred
✍✝
✌ ☞✝✝✎ ✌ ✠ ✌ ☞✝✝✎ ✌ ✠✝✝✎
Therefore, 100 is 200% of 50.
iP
Answer 5 (c)
re
☞✝✝
p
To find the percentage just take the ratio and multiply it by 100.
Or multiply the decimal form by 100% to get a percentage.
Here, given statement:
☞✝✝ ✎ ✞ ✝
ex
✎☎✆✝✝ ☎✄ ✝✄✆✁✆ ✄✟ ✞✝ ✞✟✟ ✝✆☛☎✆✠☎ ✄✠ ✁☞✁☎ ✠✍✌✄✆☛☎✆
✂✆✆
Fl
We have, ☞✝✝✎ ✌ ✆ ✌ ✝
✂✆✆
Or
✌✆ ✌ ✝
Multiplying both sides by 100 and dividing both sides by 100,
✂✆✆
We have ✆ ✌ ✝ ✌
✂✆✆
✆✌
Therefore, the number is 0.
☞✝✝ ✌ ✝
☞✝✝
✌✝
Answer 5 (d)
Here, given statement:
✒✓ ✞ ✠✡✠
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✄✆☛☎✆✠☎✁✟✆ ✄☛ ✝✆☛☎✆✠☎ ✁✝ ✞☎✟✝ ✝✁✞✂ ✞✝ ☎☞✆ ✠☛✁☎☎✞✄✠✟✝ ✆ ✍✞✁✁✆✆✠☎ ✁✞☎☞
a denominator ✌ hundred
To find the percentage just take the ratio and multiply it by 100.
Or multiply the decimal form by 100% to get a percentage.
✆
✆✆
✌ ✒✓ ✌ ✠✡✠
☞✝✝
✠✡✠✄ ✌ ☞✝✝
✌
✌ ✟ ✌ ☞✝✝ ✌ ✟✝✝✎
✒✓
Therefore, 272 is 800% of 34.
p
Answer 6 (a)
re
Given, the number of students who like to sing, dance and draw in
a class are 5:3:2.
Percent students who like to sing is:
iP
✌✍☞✝✝✒✌ ✍✠✁ ✎ ✌ ✌✍✝✝
✁ ✎ ✌ ✍✝✎
☞✝
Percent students who like to dance is:
✌✍☞✝✝✒✌ ✠✁ ✎ ✌ ✌ ☞✝ ✁ ✎ ✌ ✒✝✎
ex
✒
✒✝✝
Percent students who like to draw is:
Fl
✌✍☞✝✝✒✌ ✠✠✁ ✎ ✌ ✌✠✝✝
✁ ✎ ✌ ✠✝✎
☞✝
✂✆✠☎✆✏ ☎☞✆ ✝✆☛☎✆✠☎✁✟✆ ✄✠ ✆✁☎☞ ✝☎✍✂✆✠☎✟✝ ✁☎☎✞✁✞☎✞✆✝ ✁☛✆ 50%, 30%
and 20%.
Answer 6 (b)
Denny weight in June ✌ ✔✟ ✞✄
A month later her weight ✌ ✡✠ ✞✄
Now, subtract the original value from the new value, then divide
the result by the original value.
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✌ ✡✠ ✌ ✔✟ ✌ ✓✞✄
✓
✌ ✝✞✝✔✠✍
✔✓
Then, multiply the result by 100:
✝✞✝✔✠✍ ✌ ☞✝✝ ✌ ✔✞✠✍✎
Therefore, her weight is 6.25% increase.
✍
Answer 7 (a)
✁✂✄☎✆✝☎
re
p
Given numbers ✠✝✝
✠✔✝
To calculate the percentage increase:
First, work out the difference between the two numbers you are
comparing:
✌ ✞☎✟ ✁✠✡☛☎✄ ✌ ☞✄✍✎✍✁✆✏ ✁✠✡☛☎✄
✠✔✝ ✌ ✠✝✝ ✌ ✔✝
iP
Then, divide the increase by the original number and multiply the
answer by 100:
Answer 7 (b)
✍ ✠✔✝
✑✏
✎
Fl
ex
✔✝
✌ ☞✝✝ ✌ ✝✞✒ ✌ ☞✝✝ ✌ ✒✝✎
✠✝✝
Hence, the answer is percentage increase ✠✝✝
✍
Given numbers ✍✝
☞✍
To calculate the percentage decrease:
First, work out the difference (decrease) between the two
numbers you are comparing:
✒☎✂✄☎✆✝☎
✌ ☞✄✍✎✍✁✆✏ ✁✠✡☛☎✄ ✌ ✞☎✟ ✁✠✡☛☎✄
✍✝ ✌ ☞✍ ✌ ✒✍
Then, divide the decrease by the original number and multiply
the answer by 100:
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✒✍
✌ ☞✝✝ ✌ ✝✞✡ ✌ ☞✝✝ ✌ ✡✝✎
✍✝
Hence, the answer is percentage decrease ✍✝
✍ ☞✍ ✡ ✎
✏
✍
Answer 7 (c)
Given numbers ✡✍
☞✝✝
To calculate the percentage increase:
First, work out the difference between the two numbers you are
comparing:
✌ ✞☎✟ ✁✠✡☛☎✄ ✌ ☞✄✍✎✍✁✆✏ ✁✠✡☛☎✄
☞✝✝ ✌ ✡✍ ✌ ✠✍
p
✁✂✄☎✆✝☎
re
Then, divide the increase by the original number and multiply the
answer by 100:
Answer 8 (a)
✍
✞
✎
✑✑ ✑✑
ex
iP
✠✍
✌ ☞✝✝ ✌ ✝✞✒✒ ✌ ☞✝✝ ✌ ✒✒✞✒✒✎
✡✍
Hence, the answer is percentage increase ✡✍
☞✝✝
✍
Fl
Given numbers ☞✝✝
☞✝✝✝
To calculate the percentage increase:
First, work out the difference between the two numbers you are
comparing:
✁✂✄☎✆✝☎
✌ ✞☎✟ ✁✠✡☛☎✄ ✌ ☞✄✍✎✍✁✆✏ ✁✠✡☛☎✄
☞✝✝✝ ✌ ☞✝✝ ✌ ✄✝✝
Then, divide the increase by the original number and multiply the
answer by 100:
✄✝✝
✌ ☞✝✝ ✌ ✄ ✌ ☞✝✝ ✌ ✄✝✝✎
☞✝✝
Hence, the answer is percentage increase ☞✝✝
✍ ☞✝✝✝ ✡
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✏✏✎
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✍
Answer 8 (b)
Given numbers ✍✝✝
✠✍
To calculate the percentage decrease:
First, work out the difference (decrease) between the two
numbers you are comparing:
✒☎✂✄☎✆✝☎ ✌ ☞✄✍✎✍✁✆✏ ✁✠✡☛☎✄ ✌ ✞☎✟ ✁✠✡☛☎✄
✍✝✝ ✌ ✠✍ ✌ ✓✡✍
Then, divide the decrease by the original number and multiply
the answer by 100:
✍✝✝
✌ ☞✝✝ ✌ ✝✞✄✍ ✌ ☞✝✝ ✌ ✄✍✎
Answer 9 (a)
ex
iP
Here, 50 decreased by 20%:
20% of 50 the value is reduced.
✆
Now, ✠✝✎ ✌
✌ ✍✝
re
Hence, the answer is percentage decrease ✍✝✝
✂✆✆
✍
p
✓✡✍
✌
✠✝
✍✝
✌ ✍✝ ✌
✌ ☞✝
☞✝✝✁
✍
Fl
Now, subtract 10 from 50.
✍✝ ✌ ☞✝ ✌ ✓✝
Therefore, the answer is 40.
Answer 9 (b)
Here, 360 increased by 5%
So, Percentage increase ✌ ✍✎ ✌ ✒✔✝
Now, New value ✌ ✒✔✝ ✞ ✁✂ ✄☎✄✆ ✞✄✂✁ ✆
✌ ✒✔✝ ✒✍✎ ✌ ✒✔✝✝
✌ ✒✔✝
✌☞✝✝✍ ✆ ✌ ✒✔✝✁
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✠✍
✡
✎
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✌✒✔✝
✁
✠✝
✌ ✒✔✝
✌ ✒✔✝
☞✟ ✌ ✒✡✟
Therefore, the answer is 378.
Answer 9 (c)
Here, 0.1% more than 100
✆✂
Now, 0.1 % ✌
✌ ✝✞✝✝☞
✁
✂✆✆
Then, add 100 in 0.001:
✝✞✝✝☞
p
☞✝✝ ✌ ☞✝✝✞✝✝☞
re
Therefore, the answer is 100.001.
Answer 9 (d)
iP
Here, 5% less than 440.
✁
Less value ✌ ✍✎ ✌
✂✆✆
ex
Now, 5% less than 440 write in:
✌ ✓✓✝
Fl
✌ ✓✓✝
✍
✌ ✌☞✝✝
✁
✌ ✝✞✝✍ ✌ ✒✄✄✞✄✍
Therefore, the answer is 399.95.
Answer 10 (a)
✥✁✆✦
✪✁✆✦
Here, ✠✍✝ ✧★★✩
✧★★✩
So, Percentage increase ✌ ✍✝✎ ✌ ✠✍✝
Now, New value ✌ ✠✍✝ ✞ ✁✂ ✄☎✄✆ ✞✄✂✁ ✆
✌ ✠✍✝
✌ ✠✍✝
✍✝
✌☞✝✝
✌ ✠✍✝✁
✍✝
✌☞✝✝
✁
✌ ✠✍✝
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✌✠✍✝
✁
✠
✌ ✠✍✝
☞✠✍ ✌ ✒✡✍
✌ ✠✍✝
Hence, the first increasing value is 375.
Now, 50% decrease by the resulting value 375.
So, Percentage decrease ✌ ✍✝✎ ✌ ✒✡✍
Now, New value ✌ ✒✡✍ ✌ ✞ ✁✂ ✄☎✆✄ ✞ ✂✁ ✆
✌ ✒✡✍ ✌ ✒✍✝✎ ✌ ✒✡✍ ✝
✍✝
✌ ✌☞✝✝
✌ ✒✡✍
✁
✌ ✒✡✍
re
✌ ✒✡✍
✍✝
✌ ✌☞✝✝
✌ ✒✡✍✁
p
✌ ✒✡✍
✒✡✍
✌✌
✁
✠
✌ ✒✡✍ ☞✟✡✞✍ ✌ ☞✟✡✞✍
✥✁✆✦
Therefore, the correct answer is ✠✍✝ ✧★★✩
Answer 10 (b)
✪ ✆✦
✑✡
ex
iP
✌
✪✂✆✦
Fl
Here, ✄✝ ✧★★✩
✧★★✩
So, Percentage decrease ✌ ✠✝✎ ✌ ✄✝
Now, New value ✌ ✄✝ ✌ ✞ ✁✂ ✄☎✄✆ ✞ ✂✁ ✆
✌
✌
✄✝ ✌ ✌
✄✝ ✌ ✌
✌
✠✝
✁
✌ ✄✝
☞✝✝
✠✝
✌ ✄✝✂✄
✁
☞✝✝
✄✝ ✌ ☞✟ ✌ ✡✠
✁
Hence, the first decreasing value is 72.
Now, 10% decrease by the resulting value 72.
So, Percentage decrease ✌ ☞✝✎ ✌ ✡✠
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✪✁✆✦
✧★★✩ ✎✍✡✞
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Now, New value ✌ ✡✠ ✌ ✞ ✁✂ ✄☎✆✄ ✞ ✂✁ ✆
✌ ✡✠ ✌ ✒☞✝✎ ✌ ✡✠ ✝
✌ ✡✠
☞✝
✌ ✌☞✝✝
✌ ✡✠✁
☞✝
✌ ✌☞✝✝
✌ ✡✠✁
✁
✌ ✌✡✠
☞✝
✌ ✡✠
✌ ✡✠
✌ ✡✞✠ ✌ ✔✓✞✟
Therefore, the correct answer is ✄✝
re
Answer 11 (a)
✪ ✆✦
✪✂✆✦
✧★★✩ ✡✕ ✧★★✩
p
✌ ✡✠
Cost of by selling a pair of Kurtas ✌ ✞ ✞ ✓✍✓
Sai loses 5% ✌ ☞✝✝ ✌ ✍ ✌ ✞ ✞ ✄✍ ✏
✞ ✄✍
✞ ✓✍✓
iP
Now, Original price of Kurtas ✌
✄✍
✞
✌
ex
✓✍✓ ✌ ☞✝✝
✞
✞
✌
✌
☞✝✝
✞ ✓✡✡✞✟✄
Now, she sell it to gain 6%
✞ ☞✝✝
✌ ☞✝✔ ✄✆✞✄
✞ ✞ ✓✡✡✞✟✄
✌
✁
✓✡✡✞✟✄ ✌ ☞✝✔
✌
✌ ✞ ✞ ✍✝✔✞✍✡
☞✝✝
Fl
✞
Therefore, she sell Rs. 506.57 it to gain 6%.
Answer 11 (b)
Naina bought two dozen glasses for Rs. 72.
Two dozen ✌ ☞✠ ✌ ✠ ✌ ✠✓ ✄ ✆
✠✓ ✄ ✆
✌ ✞ ✞ ✡✠
Rs. 24 of glass ✌
☞✄ ✆
✌
✁
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✁
✑✖✞ ✍
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✌
✡✠
✠✓
✌
✞✒
✞
After 5 of them broken, she sold the rest at a loss of 10% (on the
cost price of the whole two dozen).
Remaining glasses ✌ ✠✓ ✌ ✍ ✌ ☞✄ ✄ ✆
Now rest at a loss of 10%:
☞✝✝ ✌ ☞✝✒ ✏ ✝ ✌ ✞ ✞ ✄✝
Now,
✄✝
✔✓✞✟✝
☞✄
ex
✌
✁
✞ ✔✓✞✟✝
re
✞
✌
✌
iP
Now, price of 1 glass:
☞✄ ✄ ✆
✞✁✞✂
☞✄ ✆
✏
p
✞ ☞✝✝ ✌
✞ ✞ ✡✠
✌
✡✠ ✌ ✄✝
✌
✌
☞✝✝
✞
✌
✞
✞
✞ ✔✓✞✟✝
✁
✞ ✒✞✓☞
Answer 12 (a)
Fl
Therefore, each glass cost Rs. 3.41 to the buyer.
✪✂✆✦
✥☛✆✦
Here, ✓✝✝ ✧★★✩
✧★★✩
So, Percentage decrease ✌ ☞✝✎ ✌ ✓✝✝
Now, New value ✌ ✓✝✝ ✌ ✞ ✁✂ ✄☎✄✆ ✞ ✂✁ ✆
✌ ✓✝✝
☞✝
✌ ✌☞✝✝
✌ ✓✝✝✁
☞✝
✌ ✌☞✝✝
✌ ✓✝✝✁
✌ ✓✝✝ ✌ ✒☞✝ ✌ ✓✝ ✌ ✓✝✝ ✌ ✓✝ ✌ ✒✔✝
✌ ✓✝✝
Hence, the first decreasing value is 360.
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Now, 60% increase by the resulting value 360.
So, Percentage increase ✌ ✔✝✎ ✌ ✒✔✝
Now, New value ✌ ✒✔✝ ✞ ✁✂ ✄☎✆✄ ✞✄✂✁ ✆
✌ ✒✔✝ ✒✔✝✎ ✌ ✒✔✝✝
✔✝
✌☞✝✝ ✌ ✒✔✝✁
✌ ✒✔✝
Answer 12 (b)
✥☛✆✦
✥☛✆✦
✑✑✏ ✧★★✩
p
✌ ✒✔✝ ✒✔ ✌ ✒✔✝
✌ ✒✔✝ ✠☞✔ ✌ ✍✡✔
✪✂✆✦
Therefore, the correct answer is ✓✝✝ ✧★★✩
✪☛✆✦
iP
re
✧★★✩
Here, ✔✝ ✧★★✩
So, Percentage increase ✌ ✓✝✎ ✌ ✔✝
Now, New value ✌ ✔✝ ✞ ✁✂ ✄☎✄✆ ✞✄✂✁ ✆
✓✝
✌☞✝✝
✌ ✔✝✁
✓✝
✌☞✝✝
✌ ✔✝✁
ex
✌ ✔✝
✌ ✔✝
Fl
✌ ✔✝
✌ ✔✝
✒ ✓ ✌ ✔✝
✠✓ ✌ ✟✓
Hence, the first increasing value is 84.
Now, 60% decrease by the resulting value 84.
So, Percentage decrease ✌ ✔✝✎ ✌ ✟✓
Now, New value ✌ ✟✓ ✌ ✞ ✁✂ ✄☎✆✄ ✞ ✂✁ ✆
✌ ✟✓ ✌ ✒✔✝✎ ✌ ✟✓✝
✌ ✟✓
✌ ✟✓
✔✝
✌ ✌☞✝✝
✌ ✟✓✁
✌
✔☛
✒ ✁ ✌ ✟✓
☞✝
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✡✑
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✌ ✟✓
✌ ✟✓
✌
✒✒ ✌ ✟✓✝
✍
✌ ✌✠✍✠
✁ ✌ ✟✓ ✌ ✍✝✞✓ ✌ ✒✒✞✔
✍
✥☛✆✦
✪☛✆✦
Fl
ex
iP
re
p
Therefore, the correct answer is ✔✝ ✧★★✩ ✍✖ ✧★★✩
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✑✑✞ ✑
ex
Fl
re
iP
p