If 20% of A = 30% of B =1/6 of C, then A : B : C is
Solution
Correct Answer: Option D
Solution:
দেওয়া আছে, 20% of A = 30% of B
=> \(\frac{{20A}}{{100}} = \frac{{30B}}{{100}}\)
=> 20A = 30B
=> \(\frac{A}{B} = \frac{{30}}{{20}} = \frac{3}{2}\)
=> A : B = 3 : 2
আবার, 30% of B = 1/6 of C
=> \(\frac{{30B}}{{100}} = \frac{C}{6}\)
=> \(\frac{{3B}}{{10}} = \frac{C}{6}\)
=> \(\frac{{3B}}{5} = \frac{C}{3}\) [ 2 দ্বারা গুণ করে ]
=> \(\frac{B}{C} = \frac{5}{{3 \times 3}}\)
B : C = 5 : 9
অতএব, আমরা পেলাম, A : B = 3 : 2 ................ (1)
এবং B : C = 5 : 9 ................................... (2)
(1) নং কে 5 এবং (2) নং 2 দ্বারা গুণ করে পাই,
A : B = 15 : 10 এবং
B : C = 10 : 18
অতএব, A : B : C = 15 : 10 : 18
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