Q51 of 140 Page 196

Fill in the blanks to make the statements true.

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.

Given, A is increased by 20% which is equal to B


∴ A + 20% of A = B


⇒ A (1 + ) = B


⇒ A = B


⇒ B = A ………….eq1


If B is decreased by 50% then it is equal to C


∴ B-50%of B = C


⇒ B (1-) = C


⇒ B × = C


⇒ B = 2C …………….eq2


⇒ A = 2C


⇒ =


⇒ C =


∴ C = A


∴ In Percentage, = × 100%


= × 100%


= 60%


Hence, 60% of A is equal to C


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