Question #187206

The development budget of a municipality in Ghana includes expenditure on Feeder Roads, Schools and Water supply. The expenditure on roads, schools and water supply

are in the ratio 7:15:2. If the expenditure on roads is GH¢28,000,000.00, Find the expenditure on;

(i) Schools

(ii) Water supply

(iii) What is the total budget for these three projects.

(b)The cost of maintaining the municipality libraries is GH¢900,000.00 and this is met from the expenditure on schools. What percentage correct to three significant figures, of the expenditure on schools is spent on maintaining libraries.


C. After making a down payment of GH¢4000 for an automobile, the municipality paid GH¢400 per month for 36 months with interest charged at 12% per year compounded

monthly on the unpaid balance.

(i) What was the original cost of the car?

(ii) What portion of the Municipality’s total car payments went toward interest

charges?


1
Expert's answer
2021-05-07T10:21:32-0400

Let the expenditure on roads, schools and water supply be 7x, 15x,2x respectively.

Expenditure on roads =7x=28,000,000=7x=28,000,000


x=28,000,0004=4,000,000x=\frac{28,000,000}{4}=4,000,000


So the expenditure on

(i)schools=15x=15×4,000,000=15x=15\times4,000,000

=GH¢60,000,000=GH¢ 60,000,000


(ii) water supply=2x=2×4,000,000=2x=2\times 4,000,000

=GH¢8,000,000=GH¢ 8,000,000


(iii)total expenditure

=28,000,000+60,000,000+8,000,000=GH¢96,000,000=28,000,000+60,000,000+8,000,000=GH¢ 96,000,000


(b)

Cost of maintaining libraries=GH¢900,000=GH¢900,000

900,000=x%of60,000,000900,000=x\%of60,000,000

x100×60,000,000=900,000\frac{x}{100}\times 60,000,000=900,000


x=900,000×10060,000,000=1.50%x=\frac{900,000 \times 100}{60,000,000}=1.50\%


(c)


Given



using the excel PV function



(i) Original cost of the car = 16,043

(ii) Portion paid towards interest=2357


Formulas:






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