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A sum of ₹31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5.
A : B = 9 : 8
⇒ A : B = 36 : 32 …………(1)
Now, A : C = 4 : 5
⇒ A : C = 36 : 45 ………..(2)
From (1) and (2)
⇒ A : B : C = 36 : 32 : 45
Share (in₹) of B =
Fourth proportional = = 8
Third proportional = = 9
Therefore, required ratio of the fourth proportional and third proportional = 8 : 9
Hence, option D is correct.
Number of Hindi books in almirah
Now, the new ratio of Maths and Hindi books = 7 : 3
Let, the Hindi books are = 3x then, 3x = 48 Maths books, 7x = (48/3) × 7 = 112
Let first number = 5x
Second number = 8x
If 5 is added to each A and B, then the ratio of A and B becomes 2 : 3.
According to question :
⇒
⇒ x = 5
Sum of A and B = 5x + 8x = 13x = 65
Correct (-)
Wrong (-)
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