Question
Eight years ago, the ratio of ages of 'L' and 'M' was 5:6.
Ten years from now, their ages will be in the ratio 7:8. Find the present age of 'T' who is 4 years younger than 'M'.Solution
ATQ,
Let the age of 'L' and 'M', eight years ago be '5a' and '6a' years, respectively.
So, (5a + 8 + 10) : (6a + 8 + 10) = 7 : 8
Or, 8 × (5a + 18) = 7 × (6a + 18)
Or, 40a + 144 = 42a + 126
Or, 2a = 18
So, a = 9
Required age = 6 × 9 + 8 - 4 = 58 years
Suman paid ₹9,600 in interest on a loan she obtained 5 years ago with a simple interest rate of 16%. What was the amount of the loan she had taken?
A sum of money grows to Rs. 4,900 in 4 years and Rs. 5,600 in 6 years under simple interest. What is the original principal amount?
Anoop invested a sum at a simple interest rate of 8% per annum, and it grew to Rs.1,850 in 6 years. If the same sum is invested at a compound interest r...
- A bank offers interest at the rate of 10% per annum, compounded half yearly. Find the interest received at the end of the year on a sum of Rs. 30000.
The interest received by investing Rs. 4500 for 2 years at compound interest of 20% p.a., compounded annually, was re-invested for 3 years at simple int...
A sum of money grows to Rs. 5,400 in 6 years and Rs. 6,000 in 8 years under simple interest. What is the original principal amount?
A man invested certain sum at 8.5% p.a. simple interest for his son who was 20 years old. If the amount received by the son when he was 26 years old is ...
A invested Rs. ‘x’ in a scheme offering compound interest of 20% p.a. compounded annually. If at the end of 2 years, interest received by A was Rs. ...
1000 rupees is invested in a scheme p.a. simple interest. Another amount (1000 – x) is invested in scheme B at 2R% p.a. simple interest. After 5 y...
Nikhil invested two amounts, Rs. '2N' and Rs. '3N', at simple and compound interest rates respectively. The first amount, Rs. '2N', was invested at a si...
Relevant for Exams:
