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 digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 45, then which of the following maybe ‘N’...
- Determine the value of 'n' if '87n9812' is always divisible by 9.
Which of the following number is rational number?
- If the 8-digit number 617x849y is divisible by 72, then find the value of (6x - y).
- Find the median of the following observations:
72, 81, 63, 55, 94, 80, 77 The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of these two giv...
Let x represent the largest number that can divide the numbers 603, 1698, and 1041, leaving the same remainder in each case. Calculate the value of 2x�...
- 75% of 'A' equals (15/8) times 'B'. Determine the ratio A:B, assuming A and B are co-prime numbers.
If a number 'a' is divisible by 18 and another number 'b' is divisible by 12, then (a2 – b2) is divisible by:
What is the largest sum of m and n such that ‘4m932n6’ is divisible by 12?
