If 'a' is inversely proportional to 'b' and 'b' inversely proportional to 'c', then
'a' is directly proportional to 'c'
To solve this question, we need to understand the relationship between the variables a, b, and c based on their proportionality.
- We are given that a is inversely proportional to b. This can be mathematically expressed as:
\(a = \frac{k}{b}\), where \(k\) is a constant.
- We are also given that b is inversely proportional to c. This means:
\(b = \frac{m}{c}\), where \(m\) is another constant.
- Let's substitute the equation for b in the equation for a:
\(a = \frac{k}{b} = \frac{k}{\frac{m}{c}} = \frac{k \cdot c}{m}\)
- From this expression, we see that a is directly proportional to c, as a can be expressed as a constant times c:
\(a = \left(\frac{k}{m}\right) c\)
- Thus, the correct statement is that a is directly proportional to c. This matches with the given correct answer option.
Hence, the correct option is: 'a' is directly proportional to 'c'.
Important Questions from Direct or Indirect Proportion
Meena sells 70 red marbles and 105 blue marbles in boxes without mixing such that each box has x number of marbles. What is the value of x?
If 3A = 4B = 5C, then A : B : C is equal to:
Divide Rs. 156 in the ratio 1 : 2 : 4 : 5. The rupees in the respective ratios are given by:
A. 13, 26, 53 & 64
B. 13, 26, 51 & 66
C. 13, 26, 52 & 65
D. 13, 25, 53 & 65The ratio of the third proportion of 5 and 12 with the fourth proportion of 5, 8 and 9 is:
Mrs. Deepa Devi saves 30% of her salary. If she receives Rs. 42,000 per month as her salary, what is her monthly expenditure?
