Question
‘X’ and ‘Z’ began a business with investments of
Rs. 5,500 and Rs. 11,000 respectively. After 5 months, ‘Y’ entered the business contributing Rs. 6,600. 7 months later, ‘Z’ withdrew his full capital. At the end of 24 months, if Y’s profit share is Rs. 1,320, what is the total profit share of X and Z?Solution
ATQ,
Ratio of profit shares of X, Y, and Z respectively = (5500 × 24) : (6600 × 19) : (11000 × 12) = 132000 : 125400 : 132000 = 44 : 41.8 : 44 (approx) → Let’s simplify directly: To make it simple, let's divide all by 11: = 12000 : 11400 : 12000 = 10 : 9.5 : 10 So, total parts = 10 + 9.5 + 10 = 29.5 Y’s share = 9.5 parts = Rs. 1,320 ⇒ 1 part = 1320 / 9.5 = Rs. 139. Sum of X and Z’s shares = (10 + 10) parts = 20 parts ⇒ 20 × 139 = Rs. 2,780
30% of ‘x’ added to 70% of ‘y’ gives 140. If ‘y’ is 60 more than ‘x’, find the value of (2x – y)
A person sells each package of snacks for Rs. 10 each. On Monday, he sold 100 packages which was 25 more than that on Tuesday but 10 less than that on W...
The income of P is 2/3rd of the income of Q and income of R is 40% more than the income of Q. Income of Q is Rs.21000 and expenditure of P is...
In a town of 3000 residents, 70% are men, and 30% of them are literate. If 25% of the total population is literate, what percentage of the women are ill...
Tim spends 22% of his monthly income in travelling. He spends 25% of his monthly income on household expenses and spends 36% of his monthly income on fa...
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 50000 which is 4 times the monthly income of ‘C’. If ‘A’ spends 55% of his...
A person spent 10% of his monthly income on food and 50% of the remaining on rent. If amount spent on rent is Rs 1350, then find the amount spent...
During a school council election, candidate X received 61% of the votes and beat candidate Y by a margin of 4,880 votes. Determine how many votes candid...
If decreasing 90 by k% gives ihe same result as increasing 60 by k%, then k% of 120 is how much per cent of [(K + 20)% of 150]
- The population of a small town grows by 18% per year. If the population two years later is estimated to be 41,472, what is the population now?
Relevant for Exams:
