Pubali Bank Senior Officer/ Officer Question Slolution 2014 (Wrtten Math)
1. When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit percentage if the commission is reduced by 24%?
Solution:
Let, cost price =100 Tk
at 8.8% profit, SP= 100+8.8
=108.8tk
Commission= 36%
discounted price =100-36= Tk 64
discounted price 64 tk then retail price =100tk
so discounted price 108.8tk then retail price=(100*108.8)/64
=170tk
New commission=36%-24%=12%
New S.P=170-(170*12%)
=149.6tk
Gain%=149.6-100
=49.6
C/A: 49.6%
Or,
100% correct Solution:
Let, cost price =100 Tk
at 8.8% profit, SP= 100+8.8=108.8tk
Commission= 36%
discounted price =100-36= Tk 64
discounted price 64 tk then retail price =100tk
so discounted price 108.8tk then retail price=(100*108.8)/64=170tk
New commission=36%-24%=12%
New S.P=170-(170*12%)=149.6tk
Gain%=149.6-100=49.6
Ans: 49.6%
2. A and B start a business with invest of tk 5,000 and tk 4,500 respectively. After 4 months, A takes out half of his capital. After 2 more months, B takes out one third of his capital while C joints them with a capital of tk 7,000. At the end of a year, they earn a profit of tk 5,080. Find the share of each member in the profit.
Solution:
3. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
Solution:
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y,
Then, 2x + 3y =1/10,and 3x + 2y =1/8. So..x=7/200,y=1/100,2 men + 1boy)'s 1 day's work=(14/200+1/100)=16/200. 2 men + 1 boy can do the work in 200/16=12.5 days.