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Ang, Bakar and Chan are friends and they have just graduated from a local university. Ang works in a company with a starting pay of RM2000 per month. Bakar is a sales executive whose income depends solely on the commission he receives. He earns a commission of RM1000 in the 1st month and this commision increase by RM100 for each subsequent month. On the other hand, Chan decides to go into a business. He open a cafe and make a profit of RM100 in the 1st month.For the 1st year, his profit in each subsequent month is 50% more than that of the previous month.In the 2nd year, Ang receive a 10% increment in his monthly pay. On the other hand, the commision received by Bakar is reduced by RM50 for each subsequent month. In additional, the profit made by Chandran is reduced by 10% for each subsequent month.1.a)How much each of them receive at the end of 1st year?(2 or more method needed.b)Wat is the percentage change in their total income for the 2nd year compared to the 1st year?comment on the ans.c)Ang, Bakar and Chan, each decidec to open a fixed deposit account of RM10 000 for 3 years without any withdrawal.- Ang keeps the amount at an interest rate of 2.5% per anmum for a duration of 1 month renewable at the end of each month.- Bakar keeps the amount at an interest rate of 3% per anmum for a duration of 3 month renewable at the end of every 3 month.- Bakar keeps the amount at an interest rate of 3.5% per anmum for a duration of 6 month renewable at the end of every 6 month.i)Find the total amount each of them will receive after 3 years.ii)Compare and comment on the difference in the interests received. If you were to invest RM10 000 for the same period of time, which fixed deposit account wuold you prefer?Give your reasons.2.a)When Chan's 1st child, Johan is born, Chan invested RM300 for him at 8% compound interest per annum. He can tinues to invest Rm 300 on each of Johan's birthday, up to and including his 18th birthday. What will be the total value of the investment on Johan's 18th birhtday?b)If Chan starts his investment with Rm500 instead of RM300 at the same interest rate, calculate on which birthday will be the total investment be more than RM25 000 for the 1st time.Note: Compound interest is interest earned during a period calculated on the basic of the original sum together with interest earned from the previous periods.
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Year one:Ang earns: 2,000 x 12 = 24,000Bakar earns: (1000 x 12) + (100 + 200 + 300 + .......+1100) == 12000 + 5,600= 17,600Chan earns: 100 + 150 + 225 + 337∙5 + ........+ 6727∙587891 = 23,827∙09961Year two:Ang earns: 24,000 + 10% = 26,40026,400 / 24,000 = 1∙1 That is, 10% rise.Bakar earns: 17,600 - (50 + 100 + 150 + .......600) == 17,600 - 3950= 13,65013,650 / 17,600 = 0∙775568....(1 - 0∙775568....) * 100% = 22∙443... % Drop in income. There is a drop in sales.Chan earns:23,827∙09961 - 10% = 21,444∙3896521,444∙38965 - 10% = 19,299∙95068etc.153871 / 23,827 ≈ 6∙4578...(6∙4578... - 1) * 100% = 545∙78 % increase. Business is doing great.I will let you do the rest yourself.
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