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# PROFITS AND LOSS|Part-2

Ex: What is the percentage of profit per annum by which Tk. 13000 will be Tk. 18850 as profit-principal in 5 years?

Solution:

In 5 years profit principal is  18,850 Taka

Principal is                             13,000 Taka

∴5 years profit                         =5850 Taka

For 13000 Taka in 5 years profit is 5850 Taka

∴for 1 Taka in 1 year profit is 5850/(13000×5) Taka

∴for 100 taka in year profit is (5850×100)/(13000×5) Taka

=9 Taka

∴Percentage of the profit 9%

Ans : 9%.

Ex: For what percentage of profit per annum, some principal will be double in profit principal in 8 years?

Solution:

Let, principal is 100 taka

Then,

The profit principal of 8 years is (100×2) taka

=200 taka

∴8 years profit    (200-100) taka

=100 taka

For 100 taka in 8 years profit is 100 taka

∴ For 100 taka in 1 year profit is 100/8 taka

=25/2 taka

=12  taka

Ans: Percentage of profit 12  taka.

Ex: How much money will become Tk.10200 as profit-principal in 4 years at the same rate of profit at which Tk.6500 becomes Tk. 8840 as profit – principal in 4 years?

Solution:

Given,

The profit – principal of 4 years is 8840 Taka

And principal is 6500 Taka

∴profit of 4 years= (8840-6500) Taka

=2340 Taka

For 6500 Taka in 4 years profit is 2340 Taka

∴For 1 Taka in 1 year profit is 2340/(6500×4) Taka

∴For 100 Taka in 1 year profit is (2340×100)/(6500×4) Taka

=9 Taka

In same the profit of4 years = (9×4) Taka

=36 Taka

∴Profit principal is = (100+36) Taka

=136 Taka

If 136 Taka is profit principal then principal is 100 Taka

∴If 1 Taka is profit principal then principal is 100/136 Taka

∴If 10200 Taka is profit principal then principal is (100×10200)/136 Taka

=7500 Taka

∴Profit is 7500 Taka

Ans:7500 Taka.

Ex: Mr. Riaz deposited some money in a bank and got the profit of Tk.4760 after 4 years. If the percentage of profit of the bank is Tk.8.50 per annum, what amount of money did he deposit in the bank?

Solution:

For 100 Taka in 1 year profit is 8.50 Taka

For 100 Taka in 4 years profit is (8.50×4) Taka

=34 Taka

If 34 Taka is profit then principal is 100 Taka

∴If 1 Taka is profit then principal is 100/34

∴If 4760 Taka is profit then principal is (100×3760)/34 Taka

=14000 Taka

∴He deposited 14000 Taka

Ans : 14000 Taka

Ex: What amount of money will become Tk. 2050 as profit- principal in 4 years , at the same rate of profit at which some principal becomes double as profit- principal in 6 years?

Solution:

Let,

Principal is 100 Taka

∴In 6 years profit principal is =(100×2) Taka

=200 Taka

∴Profit of 6 years =(200-100) Taka

=100 Taka

For 100 Taka in 6 years profit is 100 Taka

∴For 100 Taka in 1 year profit is 100/6 Taka

∴For 100 Taka in 4 years profit is (100×4)/3 Taka

=200/3 Taka

∴profit principal =(100+200/3) Taka

500/3 Taka

If profit- principal is 500/3 Taka then principal is 100 Taka

∴If profit – principal is 1 Taka then principal is (100×3)/500 Taka

∴If profit- principal is 2050 Taka then principal is (100×3×2050)/500 Taka

=1230 Taka

Ans: 1230  Taka

Ex: For how much money will the profit at the rate of Tk. 5 per annum in 2 years 6 months be same as that of Tk. 6 per annum in 4 years?

Solution:

In 100 Taka 1 year profit is 6 Taka

∴In 1 taka 1 year profit is 6/100 Taka

∴In 500 Taka 4 years profit is (6×4×500)/100 Taka

=120 Taka

Again,

In 100 Taka 1 year profit is 5 Taka

∴2 years 6 month= (2+1/2) years =(4+1)/2 years

5/2 years

In 100 Taka 1 year profit is 5 Taka

∴In 100 Taka 5/2 years profit is (5×5/2)=25/2 Taka

If profit is 25/2 Taka then principal is 100 Taka

∴If profit is 1 Taka then principal is (100×2)/25 Taka

∴If profit is 120 Taka then principal is (100×2×120)/25 Taka

=960 Taka

Ans: 960 Taka

Ex: Due to increase in the rate of profit from 8% to 10% , income of Tisha Marma was increased by Tk. 128 in 4 years. How much was her principal?

Solution:

Profit iscreased = (10%-8%)= 2%

In 100 Taka in 1 year profit increased by 2 Taka

∴in 100 Taka in 4 years profit increased (2×4) Taka = 8 Taka

Profit increased by 8  Taka when principal is 100 Taka

∴Profit increased by 1 Taka when principal is 100/8 Taka

∴Profit increased by 128 Taka when principal is (100×128)/8 Taka

=1600 Taka

Ans: 1600 Taka

Ex: Some principal becomes Tk.1578 as profit- principal in 3 years and Tk.1830 as profit- principal in 5 years. Find the principal and rate of the profit.

Solution:

Principal+5 years profit is 1830 Taka

Principal + 3 years profit is 1578 Taka

∴2 years profit= 252 Taka

∴1 year profit   252/2 Taka

∴5 years profit (252×5)/2 Taka= 630 Taka

∴Principal = (1830- 630) Taka

=1200 Taka

Principal is 1200 taka

For 1200 Taka 5 years profit is 630 Taka

∴For 1 Taka IN 1 YEAR PROFIT IS 630/(120×5) TAKA

∴FOR 100 TAKA IN 1 YEAR PROFIT IS (630×100)/(120×5) TAKA

=10.50 TAKA

∴PROFIT PERCENTAGE 10.50%

ANS: PRINCIPAL IS 1200 TAKA AND PROFIT PERCENTAGE IS 10.50%

Ex: Tk.3000 at the rate of profit 10% and Tk. 2000 at the rate of profit 8% are invested. What will be the average percentage of profit on the total sum of the principal?

Solution:

For 100 Taka in 1 year profit is 10 Taka

∴For 1 taka in 1year profit is 10/100 Taka

∴For 3000 Taka in 1 year is (10×3000)/100 Taka

=300 Taka

Again,

For 100 Taka in 1 year profit is 8 Taka

∴For 1 Taka in 1 year profit is 8/100 Taka

∴For 2000 Taka in 1 year profit is (8×2000)/100 Taka

= 160 Taka

∴Total profit = (160+300) Taka

=460 Taka

∴Total principal = (3000+2000) Taka

=5000 Taka

For  5000 Taka in 1 year profit is 460 Taka

∴For 1oo Taka in 1 year in profit is 460/5000 Taka

∴in 100 Taka in 1 year profit is (460×100)/5000 Taka

=46/5= 9.20 Taka

Ans: 9.20%

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PROFITS AND LOSS| Part-1

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