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. Fill in the blanks to make the statement true.

Solution:

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.

We have to fill in the blanks to make the statement true.

Let A = 100

According to the question,

B = A + 20% of A

= 100 + (20/100) × 100

= 100 + 20

B = 120

C = B - 50% of B

= 120 - (50/100) × 120

= 120 - 60

C = 60

Now, A = 100, B = 120 and C = 60.

Let x% of A = C

So, x% of 100 = 60

x/100 × 100 = 60

x = 60%

Therefore, the required value is 60%

✦ Try This: If X is decreased by 10%, it equals Y. If Y is decreased by 40%, it equals Z. Then __________ % of Y is equal to Z. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

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NCERT Exemplar Class 7 Maths Chapter 7 Problem 51

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. Fill in the blanks to make the statement true

Summary:

If A is increased by 20%, it equals B. If B is decreased by 50%, it equals C. Then 60% of A is equal to C.

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