Question 5 - Figure it out - Page 12, 13, 14 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 5 Fill in the blanks appropriately: (i) 30% of k is 70, 60% of k is _____, 90% of k is _____, 120% of k is ______.Now, 60% of k 60% of k = 2 × 30% of k = 2 × 70 = 140 90% of k 90% of k = 3 × 30% of k = 3 × 70 = 210 120% of k 120% of k = 4 × 30% of k = 4 × 70 = 280 Question 5 Fill in the blanks appropriately: (ii) 100% of m is 215, 10% of m is _____, 1% of m is ______, 6% of m is ______.Now, 10% of m 10% of m = 1/10 × 100% of m = 1/10 × 215 = 21.5 1% of m 1% of m = 1/100 × 100% of m = 1/100 × 215 = 2.15 6% of m 6% of m = 6 × 1% of m = 6 × 2.15 = 12.9 Question 5 Fill in the blanks appropriately: (iii) 90% of n is 270, 9% of n is ______, 18% of n is _____, 100% of n is ______.Now, 9% of n 9% of n = 1/10 × 90% of n = 1/10 × 270 = 27 18% of n 18% of n = 2 × 9% of n = 2 × 27 = 54 100% of n First we find 1%, then 100% = 100]m 1% Now, 1% of n = 1/90 × 90% of n = 1/90 × 270 = 1/9 × 27 = 3 Thus, 100% of n = 100 × 1% of n = 100 × 3 = 300 Question 5 Fill in the blanks appropriately: (iv) Make 2 more such questions and challenge your peers.My Challenge Questions for You: (a) 𝟐𝟎% of 𝒙 is 40 𝟒𝟎% of 𝒙 is ____ 𝟏𝟎% of 𝒙 is ____ 𝟏𝟎𝟎% of 𝒙 is ____ (b) 𝟐𝟓% of 𝒚 is 15 𝟓𝟎% of 𝒚 is ____ 𝟕𝟓% of 𝒚 is ____ 𝟏𝟎𝟎% of 𝒚 is ____ Answers (Don't peek until you solve them!) (a) 𝟒𝟎% of 𝒙 : Since 40% is double 20%, the answer is 40×2=𝟖𝟎. 𝟏𝟎% of 𝒙 : Since 10% is half of 20%, the answer is 40÷2=𝟐𝟎. 𝟏𝟎𝟎% of 𝒙 : Since 𝟏𝟎𝟎% is five times 𝟐𝟎%, the answer is 40×5=𝟐𝟎𝟎. (b) 50% of 𝒚 : Double of 15 is 30 . 75% of 𝒚 : Triple of 15 is 𝟒𝟓. 𝟏𝟎𝟎% of 𝒚 : Four times 15 is 𝟔𝟎. Answers (Don't peek until you solve them!) For (a) 𝟒𝟎% of 𝒙 : Since 40% is double 20%, the answer is 40×2=𝟖𝟎. 𝟏𝟎% of 𝒙 : Since 10% is half of 20%, the answer is 40÷2=𝟐𝟎. 𝟏𝟎𝟎% of 𝒙 : Since 𝟏𝟎𝟎% is five times 𝟐𝟎%, the answer is 40×5=𝟐𝟎𝟎. For (b) 50% of 𝒚 : Double of 15 is 30 . 75% of 𝒚 : Triple of 15 is 𝟒𝟓. 𝟏𝟎𝟎% of 𝒚 : Four times 15 is 𝟔𝟎.