The ratio of ages of A and B is 7 : 5. Five years hence, the ratio will become 9 : 7. What percentage is the B to A? Option 1: 51.43% Option 2: 61.43% Option 3: 71.43% Option 4: 81.43%

Answer: 71.43%. Solution: Since present ages are in the ratio 7:5, B as a percentage of A is 5/7 x 100 = 71.43% regardless of the future condition. Checking: with ages 7x and 5x, (7x+5)/(5x+5) = 9/7 gives x = 2.5, so the ages are 17.5 and 12.5, and 12.5/17.5 = 71.43%.

Arithmetic

Ratio, Proportion & Variation

Medium

The ratio of ages of A and B is 7 : 5. Five years hence, the ratio will become 9 : 7. What percentage is the B to A?

51.43%

61.43%

71.43%

81.43%

✅ Correct Option: 3

Since present ages are in the ratio $7:5$ , B as a percentage of A is $\frac{5}{7} \times 100 = 71.43\%$ regardless of the future condition.

Checking: with ages $7x$ and $5x$ , $\frac{7x+5}{5x+5} = \frac{9}{7}$ gives $x = 2.5$ , so the ages are 17.5 and 12.5, and $\frac{12.5}{17.5} = 71.43\%$ .

2025: 3 June Shift 2

There are 48 students in a college gathering. The ratio of the number of boys to the number of girls in the gathering is 5:3. If the ratio of the boys to girls has to be made 6:5, then how many girls need to be added to the gathering, without changing the numbers of boys who are attending the gathering?

2023: 7 June Shift 1

If A : B : C = 1 : 4 : 7 and B = (2x)% of (A + C), then x is :

2022: 8 Aug Shift 1

Ratio between age of P and Q is 5 : 7. If 2 years ago Q's age was 2 years more than the age of P after 4 years, then find their total age

2023: 30 May Shift 3

A certain weight (in kg) is divided into two parts such that 5 times the first part added to 11 times the second part makes 7 times the whole weight. The ratio of the first part to the second part is :

2026: 19 May Shift 1

If 60% of A = 75% of B, then A : B is

2022: 20 Aug Shift 1

Sum of two numbers is 44 and their difference is 16. The ratio of these number is :

The ratio of ages of A and B is 7 : 5. Five years hence, the ratio will become 9 : 7. What percentage is the B to A?

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)