Question
Present age of X is 60% more than that of Y. Present age
of Z, who is 5 years older than Y, is 25 years. After how many years from now, ratio of ages of X to Y will become 13:9?Solution
ATQ, Present age of Y = 25 - 5 = 20 years
Present age of X = 1.6 × 20 = 32 years
Let the required time be T years.
So, (32 + T) : (20 + T) = 13 : 9
Or, 9 × (32 + T) = 13 × (20 + T)
Or, 288 + 9T = 260 + 13T
Or, 4T = 28
Or, T = 7
An investment of Rs. 9,600 at an annual interest rate of 'R' percent for three years yields a simple interest of Rs. 5,760. Calculate the compound inter...
A sum of money triples itself in 12 years. Find the rate percent per annum.
Compound interest on a certain sum of money for 2 years is Rs.3600 while the simple interest on the same sum for the same time period is Rs.3200. Find t...
The simple interest earned on ₹3,000 at a rate of 8% per annum for 4 years is ₹x. If ₹2,520 is the simple interest earned on ₹5,000 at a rate of...
A woman borrows Rs. 80,000 from a bank at 8% per annum. She invests Rs. 30,000 of it in a business at 12% per annum and the rest at 10% per annum. Calcu...
Rs. ’P’ invested at a rate of 15% p.a. compound interest (compounded annually) amounts to Rs. 8464 at the end of 2 years. Find the simple interest e...
If an investment of Rs. 5,120 grows to Rs. 6,480 in two years when compounded annually at an interest rate of 'R%' per annum, calculate the value of 'R'.
Simple interest received at the rate of 20% p.a. for 8 years on a principal amount of Rs. 6000 is twice of the simple interest received at 10% p.a. for ...
A man invested Rs. 20,000 at simple interest of 'x%' p.a. and received Rs. 40,000 after 2 years. If he had invested Rs. 25,000 at simple interest of 'x%...
A man invested Rs. 7,000 at simple interest of 'x%' p.a. and received Rs. 14,000 after 2 years. If he had invested Rs. 80,000 at simple interest of 'x%'...
