Question

if 50% of a% of b is 75%of b%of c

Answer 1

If 50% of a% of b is 75%of b%of c

SOLUTION:

(50/100) × (a/100) × b = (75/100)× (b/100)×c

ab/(2×100) = 3bc/(4×100)

c=( ab × 4×100)/(2×100× 3b)

c= 2a/3

c= 0.6666…..

c= 0.667

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Answer 2

Answer: Our required relation is a:b is 3:2.

Step-by-step explanation:

Since we have given that

50% of a% of b is 75% of b% of c

According to question, we get that

$\dfrac{50}{100}\times \dfrac{a}{100}\times b=\dfrac{75}{100}\times \dfrac{b}{100}\times c\\\\50ab=75bc\\\\50a=75c\\\\2a=3b\\\\\dfrac{a}{b}=\dfrac{3}{2}$

Hence, Relation between a, b is given by

$a:b\\\\=3:2$

Therefore, our required relation is a:b is 3:2.