Question
If 78% of (A - B) is equal to 26% of 90% of (A + B), then
find the ratio of B to A.Solution
ATQ,
Given
78% of (A - B) = 26% of 90% of (A + B)
Or, 39 × (A - B) = 117 × (A + B) [78% = 39/50, and 26% of 90% = 23.4% = 117/500]
Multiply both sides by 500 to eliminate denominators:
→ 19500 × (A - B) = 117 × (A + B) × 50
→ 19500A - 19500B = 5850A + 5850B
→ 13650A = 25350B
→ A/B = 25350 / 13650 = 13 / 7
So, B/A = 7/13
A bag contains 10-paisa, 20-paisa and 50-paisa coins in the ratio of 8:9:10, respectively. If the total amount in the bag is Rs. 38, then find 80% of th...
- The ratio between Riya's income and expenditure is 5:3. If both income and expenditure rise by 60% and 40% respectively, find the percentage increase in he...
The total number of phones to the total number of laptops in Stores A and B is in the ratio 120:13. Additionally, the number of laptops in Store A to t...A total of Rs.71,000 was distributed among three individuals named Ashish, Bheem, and Chinu. The amount Ashish received compared to Bheem was in the rat...
In a garage, 80% of the vehicles are two-wheelers and the remaining are four-wheelers. Find the ratio of the number of wheels of two-wheelers to that of...
Gagan and Magan have their monthly incomes in the ratio of 9:7 while their monthly expenditures are in the ratio of 6:5, if they have saved Rs. 23,400 a...
A solution contains alcohol and water in the ratio 3:2. If 15 liters of water is added to the solution, the ratio becomes 3:5. What was the initial volu...
- A sum of money is divided between Arvind and Manish in a 2:3 ratio. If the total amount distributed had been increased by 10%, Arvind’s share would have ...
 If a student distributes sweets in the ratio of 1/2:1/3:1/4:1/5:1/6 among five of his friends A, B, C, D and E, then the total number (minimum) of swe...
The sum of two numbers is 25 and their difference is 15. The ratio of the numbers is:
Relevant for Exams:
