Five friends P, O, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z…
Five friends P, O, X, Y and Z purchased some notebooks. The relevant information is given below:
1. Z purchased 8 notebooks more than X did.
2. P and O together purchased 21 notebooks.
3. O purchased 5 notebooks less than P did.
4. X and Y together purchased 28 notebooks.
5. P purchased 5 notebooks more than X did.
If each notebook is priced 40, then what is the total cost of all the notebooks?
2,600
2,400
2,360
2,320
Solution
From P + O = 21 and O = P - 5: P + P - 5 = 21, so P = 13 and O = 8. From P = X + 5: X = 8. From Z = X + 8: Z = 16. From X + Y = 28: Y = 20. Total notebooks = 13 + 8 + 8 + 20 + 16 = 65. Total cost = $65 \times 40 = $ Rs. 2600.