Question
The combined income of 'X' and 'Y' is Rs. 1,50,000. 'X'
spends 60% of his income, while 'Y' spends 70% of her income, such that the savings of 'Y' are Rs. 10,000 more than that of 'X'. If the income of 'Z' is 20% less than the average savings of 'X' and 'Y' together, then find the savings of 'Z', given that 'Z' saves 25% of his income.Solution
Let the income of 'Y' be Rs. 'y'. Therefore, income of 'X' = Rs. (150000 - y). Savings of 'X' = 0.4 × (150000 - y) = Rs. (60000 - 0.4y). Savings of 'Y' = Rs. '0.3y'. According to the question, 60000 - 0.4y = 0.3y - 10000 Or, 0.7y = 70000 Or, y = 100000 Savings of 'X' = 60000 - 0.4 * 100000 = 20000 Savings of 'Y' = 30000 Therefore, income of 'Z' = {20000 + 30000} ÷ 2 * 0.8 = 20000 Savings of 'Z' = 0.25 * 20000 = Rs. 5,000
P can do a piece of work in 15 days, Q can complete double the work in 40 days and R can do the work in 20 days. If all of them together earn Rs. 3000, ...
- Alex and Ben can complete a job individually in 14 days and 21 days, respectively. If they take turns to work one day each, beginning with Alex, how long w...
‘X’ and ‘Y’ can do a task together in 15 days. If ‘X’ alone takes 25 days to complete it, then how much time will ‘Y’ take to finish the...
‘P’ and ‘Q’ can complete a task together in 24 days. If ‘P’ alone can do it in 40 days, find the number of days ‘Q’ alone will take to f...
A can complete a work in 40 days. B takes 20 days less than A to complete the same work. In how many days can both of them together complete 90% of the ...
P can do a piece of work in 30 days. Q do the same work in 40 days. R can do it in 35 days. P and R worked for 4 days and handed it to Q. Q worked for s...
X can do a piece of work in 15 days. He worked at it for 3 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?
A job is done by 15 men in 30 days and 30 women in 20 days. How many days will it take for 8 men and 12 women to finish the work?
P can do a piece of work in 20 days, Q can do the same piece of work in 24 days while R can do it in 30 days. They started working together but after 4 ...
12 engineers complete designing 180 blueprints in 15 days. If the goal is to complete 270 blueprints in 18 days, how many engineers are required?
Relevant for Exams:
