Question
A principal amount is invested at an annual simple
interest rate of R%, growing to Rs. 9,500 over 5 years and Rs. 13,100 over 9 years. Calculate the total interest earned if this principal is invested at an increased rate of (R + 7)% per annum for 2 years.Solution
Simple interest for 4 years = 13100 – 9500 = 3600 Simple interest for 1 year = 3600/4 = Rs. 900 Principal amount = 9500 – 5 × 900 = Rs. 5000 So, R = 900/50000 × 100 = 18% Desired interest = 5000 × 0.25 × 2 = Rs. 2500 Hence, option b.
The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
The ratio of two numbers is 10:12 and their LCM is 240. The numbers are:
A launches a partnership with Rs. (P + 700). B joins after 5 months with Rs. 2P. If the ratio of B’s profit share to A’s is 7:8, find (P − 100).
What is the least number which is a perfect square and divisible by 3, 10, 12, and 15?
Three numbers are in the ratio 7:5:4 respectively. If the HCF of the numbers is 3, then find the LCM of the numbers.
The least number which when divided by 10, 12, 15 and 20 leave zero remainder in each case and when divided by 24 leaves a remainder of 12 is:
Find the range of the given data:
99, 101, 85, 90, 112, 87, 95
The HCF of two numbers is 56, and their LCM is 1680. What is the sum of the numbers?
- Two numbers are in the ratio 5:12, and their least common multiple (LCM) is 1,440. Determine the sum of these two numbers.
The LCM of two numbers is 33 times of their HCF. The sum of the LCM and HCF is 850. If one number is 25, then the other number is:
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