Problem: A worker buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?
View all: PUBALI BANK OFFICER (JO) | WRITTEN QUESTION (MATH) SOLVE | 2013
Correct Answer: ans: 3:2
Explanation:
Since the man buys maximum number of shirts, so the following calculation may follows:
If maximum no. of shirts is 12, total cost =12 x 70 = 840 which greater than given total 810
If maximum no. of shirts is 11, total cost =11 x 70 = 770 and cost of ties = 810 — 770 = 40
If maximum no. of shirts is 10, total cost = 10 x 70 = 700 and cost of ties = 810 — 700 = 110
If maximum no. of shirts is 9, total cost = 9 x 70 = 630 and cost of ties = 810 — 630 = 180
Here 40 and 140 is not divisible by 30, so these two is not possible.
But, 180 is divisible by 3so number of ties = 180 + 30 = 6
Ratio of shirts to ties = 9 : 6 = 3 : 2
