Question
If the total cost of 8 cups and 5 plates is Rs. 260 and the
total cost of 6 cups and 4 plates is Rs. 200, then find the cost of 9 cups.Solution
ATQ,
Let the cost of one cup and one plate be Rs. x and Rs. y, respectively.
ATQ;
8x+5y=260......(I)
6x+4y=200......(II)
Multiply Equation (II) by 5 and Equation (I) by 4, then subtract:
30x+20y−32x−20y=1000−1040
−2x=−40
x=20
Cost of 9 cups = 9×20=180 Rs.
A, B and C can do a piece of work in 5, 8 and 10 days respectively. They start working together but C leaves after working 1 days and B, 2 days before t...
If 12 men working 12 hours a day can make 12 quilts in 12 days, then in how many days 24 men working 24 hours per day will make 24 quilts?
- 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...
- Working 6 hours a day, Rahul can complete a work in 25 days. How many hours a day should he work to complete the same work in 15 days?
114 unit of work can be completed by P alone in 19 days. P started working alone and joined by Q after 10 days such that they completed the remaining wo...
The ratio of time taken by P, Q and R to complete work alone is 4:5:3 respectively. If all three together complete the work in 6 days, then find in how ...
'M' alone finishes a project in 30 days. 'M' and 'N' together can complete the same project in 16(2/3) days. How many days would 'N' need to do the proj...
Mira is 40% more efficient than Priya, and Neha is 10% more efficient than Mira. If Neha and Mira together can do a piece of work in 15 days, in how man...
P does one fourth as much work as Q in two third of the time. If together they take 24 days to complete the work, how much time shall Q take to do it?
A 210 litres mixture contains only water and phenyl in the ratio 3:2, respectively. If 60 litres of this mixture is replaced with 100 litres of alcohol,...
