REAL ESTATE MATH PROBLEMS
(and Solutions)

 

 

1. $26,790 is 94% of what amount?

(a) $25,098   (b) $25,182.60   (c) $28,500   (d) $1,607

 

2.. If you owned a property for 10 years, then sold it for $13,000 with a 10% profit, what did you pay for the house originally?

(a) $11,818    (b) $14,300   (c) $10,700   (d) $15,500

 

3. 150 is 2 1/2% of what number?

(a) 600   (b) 6,000  (c) 450  (d) 3,750

 

4. If you borrowed $566.66 at 5% interest, how much interest would you owe for three months?

(a) $7.10   (b) $7.08   (c) $8.15   (d) $85.20

 

5. The net income from a property is $1,800 per year. What percentage of income is this on a purchase price of $20,000?

 (a) 10%    (b) 11 %   (c) 90%    (d) 9%

 

6. If a property shows a profit of $275 per month and is earning 8% on the total investment, what would the property be worth?

(a) $33,000    (b) $34,000   (c) $41,250   (d) $35,800

 

7. The value of a house at the end of six years is estimated to be $7,650. What was the original cost of the house if the annual depreciation rate was 2 1/2%?

(a) $9,000   (b) $900    (c) $90,000   (d) $9,600

 

8. An agent was to receive a commission of 5% on a piece of property listed at $30,000. How much will the agent receive if the owner reduces the selling price by 15%?

(a) $1,350   (b) $2,500   (c) $1,275   (d) $4,500

 

9. An owner has 24 lots, each containing 1/2 acre. How many lots would there be if the land was divided into 2/3 acre parcels?   (a) 16   (b) 32   (c) 8   (d) 18

 

10. What is the amount of interest on $4,000 for 3 years, 5 months and 20 days at 6 1/2% per annum?

(a) $720   (b) $260   (c) $903   (d) $1,208

 

11. Jones paid $13,275 for a property, and later offered it for sale at a profit of 10% When the property did not sell, the price was reduced by 5%. The property sold at the lower price and Jones paid a 6% commission. How much did Jones lose?

(a) $234.97   (b) $832.34   (c) $730.12   (d) $1,327.50

 

12. Jones borrows $12,000 at 6% interest and agrees to repay it at $100 per month, with the payment to be applied first to interest, then to principal. Of the second months payment, how much will be applied to principal?

(a) $40.20   (b) $63.00   (c) $63.20   (d) $215.00

 

13. If property taxes are $.003 on the dollar and you pay $60.00 per year, what would your annual taxes be if the tax rate were increased to $.0045 on the dollar?

(a) $75   (b) $90   (c) $110   (d) $140

 

14. If the tax rate is 16 mills for the township and 22 1/2 mills for the schools, how much are the taxes on a property worth $5,000 assessed at 70% of it's value?

(a) $13.48   (b) $134.75   (c) $156.68   (d) $144.38

 

15. The real value of a property is $6,000. It is assessed at 60% of it's real value and taxed at a rate of 55 mills on assessed value. What are the taxes?

(a) $198.00    (b) $19.80   (c) $1,980.00   (d) $1.98

 

solutions

 

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