Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.

Class: Form 1

Subject: Mathematics

Topic: Rates, Ratios, Proportions and Percentages

Lesson Summary

Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.The partners set aside 14 of the land for social amenities and sub-divided the rest into 15m by 25m plots.
a)Find
i)the amount contributed by Karuri.
ii)the number of plots that were obtained.

b)The partners sold the plots at Ksh 50,000 each and spent 30% of the profit realized to pay for administrative costs.They shared the rest of the profit in the ratio of their contributions .
i)Calculate the net profit realized.
ii)Find the difference in the amount of profit earned by Amina and Bosire.




Text Answer


a)Find
i)the amount contributed by Karuri.
716x4,800,000 = 2,100,000

ii)the number of plots that were obtained.
8 ha to m²( multiply by 10000) = 80,000m²
𝟏𝟒 x 80000 = 20000
Remaining land = 80000- 20000 = 60000m²(made for plots)
Area of one plot = 15 x 25 = 375 m²
Number of plots = 60000 ÷𝟑𝟕𝟓 =160 plots

b)The partners sold the plots at Ksh 50,000 each and spent 30% of the profit realized to pay for administrative costs.They shared the rest of the profit in the ratio of their contributions .
i)Calculate the net profit realized.
Amount from sales of plots = 160 x 50000 = 8000000
Profit = 8000000 – 4800000 = sh 3,200,000
30% of 3200000 = 960000
Net profit = 3200000 - 960000 = sh 2,240,000

ii)Find the difference in the amount of profit earned by Amina and Bosire.
Amina’s share =416x 2240000 = 560000
Bosire’s share =516x 2240000 =700000
Difference in their share = 700000 -560000 = sh.140000

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    Three business partners Abila, Bwire and Chirchir contributed ksh 120,000,ksh 180,000 and ksh 240,000 respectively,to boast their business.They agreed to put 20% of the profit accrued back into the business and to use 35% of the profit for running the business(official operations).The remainder was to be shared among the business partners in the ratio of their contribution.At the end of the year,a gross profit of ksh.225,000 was realized.

    a)Calculate the amount:
    i)Put back into the business.
    ii)Used for official operations.
    b)Calculate the amount of profit each partner got.
    c)If the amount put back into the business was added to individuals’s shares proportionately to their initial contribution,find the amount of chirchir’s new shares.

    Date posted: April 10, 2019

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