Ratio Comparison: Finding the Greatest Value
To determine the greatest ratio among the given options, we convert each ratio into a fraction and then calculate its decimal value. The ratio yielding the highest decimal value is the greatest.
Step 1: Convert Ratios to Fractions
The provided ratios can be expressed as fractions:
- $7:15 \implies \frac{7}{15}$
- $15:23 \implies \frac{15}{23}$
- $17:25 \implies \frac{17}{25}$
- $21:29 \implies \frac{21}{29}$
Step 2: Calculate Decimal Equivalents
Calculate the decimal value for each fraction:
- $\frac{7}{15} \approx 0.4667$
- $\frac{15}{23} \approx 0.6522$
- $\frac{17}{25} = 0.6800$
- $\frac{21}{29} \approx 0.7241$
Step 3: Compare Decimal Values
Comparing the calculated decimal values:
- $0.4667$
- $0.6522$
- $0.6800$
- $0.7241$
The largest decimal value obtained is approximately $0.7241$.
Step 4: Identify the Greatest Ratio
The decimal $0.7241$ corresponds to the fraction $\frac{21}{29}$. Therefore, the ratio $21:29$ is the greatest among the given options.
Similar Questions
- ₹28,000 were divided among A, B and C, such that 2 times the share of A = 9 times the share of B = 6 times the share of C. Find the share of A.
- Which of the following ratios is the greatest?
- The ratio of the incomes of Barun and Anil is $12 : 13$ and that of their expenditures is $10 : 13$. Find the income of Barun and Anil, if they save $₹2100$ and $₹1,300$, respectively.
- What is the simplest form of the ratio of $6\text{ h} : 3\text{ days}$?
- Two natural numbers are in the ratio of $6 : 8$ and their product is $768$. The smaller of the numbers is:
- Two numbers are in the ratio 2 : 3; if 20 is added to 20% of the smaller number, it will be equal to 10% of the larger number plus 25. Then, the smaller number is: _______.
- The ratio of income of Aamir to that of Ali is 5 : 3 and they expend in the ratio of 9 : 5 respectively. If Aamir saves ₹2,600 and Ali saves ₹1,800, Then their respective incomes are:
- If A : B = 3 : 5 and B : C = 4 : 7, then the value of A : B : C is:
- If the third proportional of 8 and 20 be x, then what is the value of x?
- If the third proportional of 25 and 35 be x, then what is the value of x?
Important Questions from Ratio and Proportion
If the ratio of three numbers A, B and C is 2 ∶ 3 ∶ 5, and the sum of the squares of these numbers is 3800, then the value of C is:
A bag contains ₹310 in the form of 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 ∶ 3 ∶ 5. What is the number of 5 rupee coins?
The ratio of three numbers is 3 ∶ 5 ∶ 4 and the sum of their squares is 11250. Find the sum of the numbers.
When 'x' is subtracted from each of the numbers 22, 39, 56 and 107, then the resulting numbers, in this order, are in proportion. What is the mean proportional between (x + 3) and (3x - 7)?
The salaries of Ravi and Sumit are in the ratio 4 ∶ 5. If the salary of each is increased by Rs. 6,000 the new ratio becomes 35 ∶ 40. What will be Sumit's increased salary?
