Question
Ram, Rahim, and Raman started a business by investing in
the ratio of 4:7:10, respectively. After one year, they each made additional investments: Ram added Rs. 4,000, Rahim added Rs. 4,500, and Raman added Rs. 5,000. At the end of two years, the total profit was Rs. 5,310, and Ram’s share of the profit was Rs. 1,180. Determine Rahim’s initial investment.Solution
Let the initial investments of Ram, Rahim and Raman be Rs. 4x, Rs. 7x and Rs. 10x, respectively. So, the ratio of their investments = 4x + 4x + 4000: 7x + 7x + 4500: 10x + 10x + 5000 = 8x + 4000: 14x + 4500: 20x + 5000 According to question: (8x + 4000)/(42x + 13500) = 1180/5310 (4x + 2000)/(21x + 6750) = 2/9 36x + 18000 = 42x + 13500 6x = 4500 x = 750 So, the initial investment of Rahim = 7 × 750 = Rs. 5,250
The product of two numbers is 2880 and their GCD is 24. What is the LCM?
Find the least number of four digits which is exactly divisible by 6, 24 and 32?
The least number which when divided by 8, 12, 16 and 18 leave zero remainder in each case and when divided by 22 leaves a remainder of 12 is:
The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
Sum of the two numbers is 49 and their HCF and LCM are 7 and 70, respectively. Find the sum of reciprocal of the given two numbers.
Find the greatest number that will divide 420, 525 and 300 without leaving a remainder.
Compute the difference between the LCM and HCF of the given numbers: 20, 50, and 100.
Ratio of two numbers 7:9 and their LCM is 1890. Find the sum of the given two numbers.
The product of the two prime numbers is 187. What will the L.C.M of these two numbers?
The product of two numbers is 132 and their highest common factor is 6. What is the least common multiple of these numbers?
