BKB--SO--Written
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Solved by >>>> Jafar Iqbal Ansary vi
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Q: A man deposits 5000 tk at 5% annual interest for six months. In every six months he withdraws tk 500 from his principal plus interest earned. What is the total amount of interest he received?
Solution: Semi annual, so Interest rate= 5/2%=2.5%
Total Interest= 2.5%*5000 + 2.5%*4500 + 2.5%*4000 + 2.5%*3500 + 2.5%*3000 + 2.5%*2500 + 2.5%* 2000 + 2.5%*1500 + 2.5%*1000 + 2.5%*500
=2.5%*27500
=687.5 Tk.
Q: A man interest and wages from his investment tk 5000. If he invests double then the wages increased 50% and total amount is tk 8000. What is his actual income in terms of wages and interest?
Solution:Let, Investment be X and Wages be Y
ATQ.
X +Y= 5000 ....(i)
2X + 1.5 Y= 8000....(ii)
Now, 2*(i)-(ii)=>
we ge,
x=1000 and Y=4000
Ans: Investment= 1000 and wages=4000
Q: 20 workers can finish a work in 30days. After how many days should 5 workers leave the job so the work is completed in 35 days?
Solution: 20 men can do in 30 days
1 man can do 30*20=600
Let,
20men can do in X days
1 men can do in 20 days
Again,
20-5=15men can do in 35-X days
1 men can do in 15(35-x) days
ATQ,
20x + 15(35-x)=600
X= 15 (Ans)
Q: A man goes to his office at a certain time. If his waking speed is 5kmh then he is 7 minutes late. When his speed is 6kmh he reaches 5minutes before. How far his office from his house?
Solution: Let, total distance be X km
ATQ,
x/5 -7/60 =x/6 +5/60 [Time=distance/
x= 6 km
Q: In a mixture the ratio of apples, peaches and grapes is 6:5:2. If the total mixture is 39 pounds then what is the difference between apples and grapes?
Solution: Let, Apple, Peaches and Grapes 6x, 5x and 2x respectively.
Apple=39* (6x/13x)=18
Grapes= 39*(2x/13x)=6
Difference= 18-6=12 (Ans)
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Solved by >>>> Jafar Iqbal Ansary vi
.
Q: A man deposits 5000 tk at 5% annual interest for six months. In every six months he withdraws tk 500 from his principal plus interest earned. What is the total amount of interest he received?
Solution: Semi annual, so Interest rate= 5/2%=2.5%
Total Interest= 2.5%*5000 + 2.5%*4500 + 2.5%*4000 + 2.5%*3500 + 2.5%*3000 + 2.5%*2500 + 2.5%* 2000 + 2.5%*1500 + 2.5%*1000 + 2.5%*500
=2.5%*27500
=687.5 Tk.
Q: A man interest and wages from his investment tk 5000. If he invests double then the wages increased 50% and total amount is tk 8000. What is his actual income in terms of wages and interest?
Solution:Let, Investment be X and Wages be Y
ATQ.
X +Y= 5000 ....(i)
2X + 1.5 Y= 8000....(ii)
Now, 2*(i)-(ii)=>
we ge,
x=1000 and Y=4000
Ans: Investment= 1000 and wages=4000
Q: 20 workers can finish a work in 30days. After how many days should 5 workers leave the job so the work is completed in 35 days?
Solution: 20 men can do in 30 days
1 man can do 30*20=600
Let,
20men can do in X days
1 men can do in 20 days
Again,
20-5=15men can do in 35-X days
1 men can do in 15(35-x) days
ATQ,
20x + 15(35-x)=600
X= 15 (Ans)
Q: A man goes to his office at a certain time. If his waking speed is 5kmh then he is 7 minutes late. When his speed is 6kmh he reaches 5minutes before. How far his office from his house?
Solution: Let, total distance be X km
ATQ,
x/5 -7/60 =x/6 +5/60 [Time=distance/
x= 6 km
Q: In a mixture the ratio of apples, peaches and grapes is 6:5:2. If the total mixture is 39 pounds then what is the difference between apples and grapes?
Solution: Let, Apple, Peaches and Grapes 6x, 5x and 2x respectively.
Apple=39* (6x/13x)=18
Grapes= 39*(2x/13x)=6
Difference= 18-6=12 (Ans)