Question
X started a business with Rs.12000. After 6 months, Y
joined with x% of X’s capital. At the end of the year, Y’s share in the Rs.36000 total profit was Rs.6000. Find x.Solution
ATQ,
Profit share of X : Y = (12000 × 12) : (x% of 12000 × 6) = 144000 : (x × 120 × 6) = 1200 : 6x
According to question,
⇒ 6x / (1200 + 6x) = 1 / 6
⇒ 36x = 1200 + 6x
⇒ 30x = 1200
⇒ x = 40
So, the value of x = 40%
- 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 HCF of two numbers is 48, and their LCM is 1440. If one of the numbers is 576, find the other number.
The HCF and LCM of the two numbers are 225 and 306 respectively. When the first number is divided by 3, the quotient is 15. The other number is.
The greatest number, which when subtracted from 7452, gives a number exactly divisible by each of 20, 27, 30 and 32, is:
The LCM of two numbers is 540, and their HCF is 18. If one of the numbers is 90, find the other number.
Three numbers are in the ratio 2:3:6 respectively. If the HCF of the numbers is 5, then find the LCM of the numbers.
Ratio of two numbers 10:21 and their LCM is 2520. Find the sum of the given two numbers.
The greatest number of four digits which when divided by 7, 9, 11 leave remainders 5, 7, 9 respectively is:
The product of two numbers is 8100 and their GCD is 45. What is the LCM?
What is the Highest Common Factor of 54, 162 and 270?
