Question
The total income of 'X', 'Y', and 'Z' is Rs. 21000. They
spend 85%, 80%, and 75% of their incomes, and the ratio of their savings is 4:5:6. Calculate the total expenditure of 'X', 'Y', and 'Z'.Solution
ATQ, Let the incomes of ‘X’, ‘Y’, and ‘Z’ be Rs. x, Rs. y, and Rs. z. According to the question, 0.15x : 0.2y : 0.25z = 4 : 5 : 6 Or, x : y : z = (4/0.15) : (5/0.2) : (6/0.25) = 26.67 : 25 : 24 Sum of the ratios = 26.67 + 25 + 24 = 75.67 Therefore, income of ‘X’ = 21000 × (26.67/75.67) = Rs. 7435 Income of ‘Y’ = 21000 × (25/75.67) = Rs. 6966 Income of ‘Z’ = 21000 - (7435 + 6966) = Rs. 6599 Required sum = (0.85 × 7435) + (0.8 × 6966) + (0.75 × 6599) = 6320 + 5573 + 4949 = Rs.16842
Thirty men working 8 hours daily complete a task in 16 days. If the work increases to three times the original and needs to be fi...
A can complete a piece of work in 12 days and B can complete the same work in 18 days. They work together for 4 days and then leave the remaining work ...
Ram can do a piece of work in 12 days and Shyam can do the same work in 20 days. They both started work together, Ram left 4 days before the completion ...
6 women and 4 children can complete a piece of work in 12 days. If 3 more women join them, they can finish 3/5 of the work in 6 days. Find the time take...
16 men can complete a work in 10 days. 10 men started the same work and left after working for ‘y’ days. The remaining work is completed by 6 men in...
'R' can independently complete a task in 36 days, whereas 'S' can accomplish 40% of the same work within 16 days. 'S' starts the task solo and withdraws...
A and B together can complete a piece of work in 32 days while A alone can complete 40% of the work in 32 days. Find the time taken by B to compl...
A can finish a task by himself in 25 days, whereas B can finish the same task by himself in 10 days. A begins the task but stops after 5 days, at which ...
‘P’ alone can paint a house in 18 days, while ‘P’ and ‘Q’ together can do it in 12 days. If ‘Q’ started the work and left after 6 days, ...
‘A’ can do a piece of work in 12 days. ‘B’ can do 60% of the same work in 18 days. If they work together for the entire time and get paid Rs.154...
