Divide 85 into two parts in such a way that the third part of the first and the second part of the second are in the ratio 3 : 4, then what is the second part?
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94 is divided into two parts such that fifth part of first and eighth part of second are in the ratio 3:4 then first part is
A) 36
B) 28
C) 30
D) 32
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Hint:
We will use all the information given in the question. First divide the number in two parts as x and 94-x. Then take the fifth part of first and eighth part of second. Now their ratio is 3:4. Then equate and find the value of x that is the first part.
Complete step by step solution:
Given that 94 is divided into two parts.
Let x be the first part and then 94-x will be the second part.
Now we have to take the ratio of the fifth part of first and eighth part of second.
So,
⇒x594−x8
But this is in the ratio 3:4.
⇒x594−x8=34
Rearranging the terms,
⇒8x5(94−x)=34
On cross multiplying,
⇒4×8x=15(94−x)⇒32x=15×94−15x
Taking x terms on one side,
⇒32x+15x=15×94⇒47x=15×94⇒x=15×9447⇒x=15×2⇒x=30