Question
Sam invested a certain sum in scheme A for 5 years and
in scheme B for 3 years, a sum which was double of that invested in scheme A. Both the schemes offer simple interest at the rate of 8% p.a. The difference between the amounts received from both the schemes was Rs. 12960. How much did Sam invest in scheme A?Solution
Let the sum inveseted by Sam in scheme A is Rs x and sum invested by Sam in scheme B is Rs 2x Now according to the question, {2x + (8 x 3 x 2x)/100} - {x + (8 x 5 x x)/100} = 12960 248x/100 - 140x/100 = 12960 108x/100 = 12960 x = 12000 Hence, Sam invest in scheme A = Rs 12000
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: