Question
The ratio of ages of A and B is 4:5 and that of B and C
is 3:2. Find the age of B after 10 years. Statement I: Difference between the ages of C and A after 10 years and the difference between ages of A and B after 10 years is same. Statement II: Difference between ages of A and C is 4 years. Each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.Solution
ATQ,
We are given: The ratio of ages of A and B 4:5. The ratio of ages of B and C is 3:2. We are tasked with finding B's age after 10 years. Let:
A's age = 4x B's age = 5x, C's age = 10x/3.
Statement I The difference between the ages of C and A after 10 years is the same as the difference between the ages of A and B after 10 years. This implies: (C+10)−(A+10)=(B+10)−(A+10). C−A=B−A. Substituting the values in terms of x: 
Solving for x determines A,B, and C's ages. Statement I is sufficient.
The difference between C and A is 4 years: C − A = 4. Substituting values: 
Simplify: 
Solving for x determines A,B, and C's ages. Statement II is sufficient.
Either Statement I or II alone is sufficient.
Simple interest earned on an amount of Rs.1400 at rate of R% per annum after 4 years is Rs.336. Find the simple interest earned on an amount of Rs.1600 ...
A man invested a certain amount of sum at 15% per annum simple interest and earned an interest of Rs.2100 after 2 years. If the same amount is invested ...
Atul invested in scheme A and B that provide simple interest at the rate of 12% and 15% for 3 years and 5 years, respectively. Interest received from sc...
A man wants to invest Rs. 60660 in bank accounts of his two sons whose ages are 12 years and 16 years in such a way that they will get equal amount at a...
A certain sum of money will be doubled in 25 years at the rate of simple interest percent per annum is:
A sum of Rs.100 is lent to be returned in 110 months installments of Rs.10 each, interest simple. The rate of interest is: -
The compound interest received on investing Rs. 10,000 for 2 years at 'y'% p.a., compounded annually is Rs. 3,689. The simple interest earned on investi...
A man invested a sum of Rs. 25,000. He invested some part at 5% p.a. and remaining at 5.5% p.a.
How much money did he invest at 5% p.a.?
...
A sum doubles in 20 years at simple interest. What is the rate of interest?
- Aman invested Rs. x at a simple interest rate of 15% per annum. If after 6 years, the total interest earned was Rs. ‘2x – 1800’, then find the value ...
Relevant for Exams:
