A, B and C are sections of Class X. The ratio of A : B is 9 : 4 and that of A : C is 3 : 2. Find A : B : C.
A, B and C are sections of Class X. The ratio of A : B is 9 : 4 and that of A : C is 3 : 2. Find A : B : C.
A, B और C कक्षा 10 की शाखाएँ हैं। A : B का अनुपात 9 : 4 तथा A : C का अनुपात 3 : 2 है। A : B : C ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
27 : 12 : 8
Solution / समाधान
Given:
A : B = 9 : 4
A : C = 3 : 2
To make the value of A same in both ratios, take LCM of 9 and 3.
LCM = 9
Now,
A : B = 9 : 4
Multiply A : C = 3 : 2 by 3:
A : C = 9 : 6
Therefore,
A : B : C = 9 : 4 : 6
Now multiply all terms by 3 to match the options:
= 27 : 12 : 18
Since this exact option is not given, the intended correct ratio from the given data should be:
27 : 12 : 18
Similar Practice Questions
The ratio of the present ages of Ram and Shyam is 3 : 4, and 4 years ago the ratio was 2 : 3.
The ratio of the present ages of Ram and Shyam is 3 : 4, and...
The sum of the present ages of A, B and C is 131 years. 17 years ago from now, the ratio of their ages was 6 : 10 : 4. What is the present age of C (in years)?
The sum of the present ages of A, B and C is 131 years. 17...
Find the number that can be subtracted from both terms of the ratio 43 : 91 so that the ratio becomes 3 : 7.
Find the number that can be subtracted from both terms of the ratio 43 :...
Two numbers, m and n, are such that the sum of 4% of m and 6% of n is equal to half of the sum of 7% of m and 14% of n. Determine the ratio of m : n.
Two numbers, m and n, are such that the sum of 4% of m and...
If the third proportional of $ 3x^2 $ and 4xy is 48, then the positive value of y is :
If the third proportional of $ 3x^2 $ and 4xy is 48, then the positive...
A recipe needs 3 cups of flour to make 12 muffins. How many cups of flour are needed to make 20 muffins in the same proportion?
A recipe needs 3 cups of flour to make 12 muffins. How many cups of...
The average price of three items of furniture is ₹15,165. If their prices are in the ratio 3 : 5 : 7, the price of the costliest item (in ₹) is:
The average price of three items of furniture is ₹15,165. If their prices are in...