Question
A, B and C started a business. Twice the investment of A
is equal to thrice the investment of B and also five times the investment of C. If the total profit after a year is ₹ 15.5 lakhs, then the share of B in the profit is (in ₹ lakhs):Solution
2A = 3B = 5C L.C.M of 2, 3 and 5 = 30 So, A = 30/2 = 15 ⇒ B = 30/3 = 10 ⇒ C = 30/5 = 6 Total profit = 15 + 10 + 6 = 31 Share of B = (10/31) × 15.5 lakhs ⇒ Rs. 5 lakhs ∴ The share of B is Rs. 5 lakhs
The HCF of 4625 and 5445 is 225, their LCM is:
Find the least number which when divided separately by 15, 20, 35 and 45 leaves 3 as remainder in each case?
Average monthly income of 35 workers is ₹52,000. Two new workers earning (r + 8000) and (r - 2000) join, and the average rises to ₹53,000. Find (r -...
Find the smallest number that leaves 13 as remainder when divided by both 32 and 48.
The Highest Common Factor (HCF) and Least Common Multiple (LCM) of two numbers, X and Y, are given as 8 and 80, respectively. Additionally, the differen...
The HCF and LCM of 2 numbers are 2 and 60 respectively. If one of the numbers is 14 more than the other, find the smaller number.
Determine the difference between the LCM and HCF of 18, 24, and 36.
The HCF and LCM of two natural numbers are 14 and 66, respectively. What is the difference between the two numbers, if one of the numbers is 28?
If the product of two numbers is 180 and their HCF is 6, find the LCM of those two numbers.
A car moves 144 km in 4 hours. The bike goes 1.5 m/s slower than the car. What distance (in metres) does the bike cover in 6 minutes 20 seconds?