1) Shakil started a business investing Tk. 25000 in 2009. In 2010, he invest
ed an additional
amount of Tk. 10000 and Raihan joined him with an amount of Tk. 35000. In 2011,
Shakil
invested another additional amount of Tk. 10000 and Jafor joined them with
an amount of Tk.35000. What will be Raihan's share in profit of Tk. 150000 earned at the en
d of 3 years
from the start of the business in 2009?
Equivalent amount of Shakil= 25000*3+10000*2+1000 =105000
" Raihan = 35000*2= 70000
" Jafor = 35000*1= 35000
now S:R:J = 3:2:1
sum of ratio= 6
Raihan 's share = 150000*2/6 = 50000
2) If 9 engines consume 24 metric tonnes of coal, when each is working 8 hou rs a day, how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter t ype?
4 later type = 3 former type
8 later type = 6 former type
consuderating consuming rate same
x/6*13 = 24/9*8
x= 26
3) Dawood invested certain amount in three different schemes A, B and C with the rate of 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interes t accrued in one year was Tk. 3200 and the amount invested in Scheme C was 150% of the amount in vested in Scheme A and 240% of the amount invested in Scheme B, what was th e amount invested in Scheme B ?
100% of C = 150% of A = 240% of B
so, 100C = 150 A
A: C = 2:3
and 150% A = 240% of B
A: B = 8:5
A:B=( 8:5)*2= 16:10
A:C = (2:3)*8=16:24
A:B:C =16:10:24=8:5:12
let, A investment = 8x
B.. = 5x
C. ............... = 12x
now. 8x*10/100 + 5x*12/100 + 12*15/100 = 3200
80x+60x+180x = 3200*100
32x= 32000
5x = 32000*5/32 =5000
Equivalent amount of Shakil= 25000*3+10000*2+1000 =105000
" Raihan = 35000*2= 70000
" Jafor = 35000*1= 35000
now S:R:J = 3:2:1
sum of ratio= 6
Raihan 's share = 150000*2/6 = 50000
2) If 9 engines consume 24 metric tonnes of coal, when each is working 8 hou rs a day, how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter t ype?
4 later type = 3 former type
8 later type = 6 former type
consuderating consuming rate same
x/6*13 = 24/9*8
x= 26
3) Dawood invested certain amount in three different schemes A, B and C with the rate of 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interes t accrued in one year was Tk. 3200 and the amount invested in Scheme C was 150% of the amount in vested in Scheme A and 240% of the amount invested in Scheme B, what was th e amount invested in Scheme B ?
100% of C = 150% of A = 240% of B
so, 100C = 150 A
A: C = 2:3
and 150% A = 240% of B
A: B = 8:5
A:B=( 8:5)*2= 16:10
A:C = (2:3)*8=16:24
A:B:C =16:10:24=8:5:12
let, A investment = 8x
B.. = 5x
C. ............... = 12x
now. 8x*10/100 + 5x*12/100 + 12*15/100 = 3200
80x+60x+180x = 3200*100
32x= 32000
5x = 32000*5/32 =5000