A rectangular plot has dimensions (m + 6 ) units by (m + 4) units. It is bought by Mr Dev who took a loan of Rs 50,000 to buy the land. The loan of Rs 50,000 has to be paid together after 3 years at 2% rate of interest per annum at simple interest.
Answer the given questions based on the given situation.
i) What is the area of the rectangular plot?
a)m^2 + 10 m + 24 b) m^2 - 10 m + 24
c) m^2 + 10 m - 24 d) m^2 - 10 m - 24
ii) What is the total amount Mr Dev will have to pay after 2 years to the bank?
a)Rs 52,000 b) Rs 53,000 c) Rs 50,000 d) Rs 55,000
iii) What is the cost of land if 1sq.m costs Rs 1000 and value of ‘m’ is 2
a) Rs 45,000 b) Rs 48,000 c) Rs 50,000 d) Rs 49,000
Answers
Answer:
(1). Area of the rectangular plot = m² +10m +24 (OPTION A)
(2).Total amount Mr. Dev will have to pay after 2 years to the bank IS 53,000. ( OPTION B )
(3). Cost of land is 48,000 RS. (OPTION B)
Step-by-step explanation:
(1). The side of the rectangular plot = (m + 6 ) units
The height of the rectangular plot = (m + 4) units
we know that,
Area of rectangular plot = side x height
therefore ;
Area = (m + 6 ) x (m + 4)
= m² +4m+ 6m +24
=m² +10m +24
Area of the rectangular plot = m² +10m +24 (OPTION A)
(2). Loan of land = 50,000
interest rate per annum = 2 %
Therefore interest in one year at the rate of 2% = 50,000 x 2/100 = 1,000
similarly for 3 year at the rate of 2 % = 3 x (interest in one year )
= 3 x 1000
= 3000
Therefore,
Total amount Mr. Dev will have to
pay after 2 years to the bank
= 50,000+ interest in 3 year
= 50,000 + 3000
= 53,000
Total amount Mr. Dev will have to pay after 2 years to the bank IS 53,000. ( OPTION B )
(3). If the value of m is 2
then the area of land is
= m² +10m +24
= 2² +10(2) + 24
= 4+ 20+24
=48 unit sq
It is given that cost of one sq. m is 1000Rs
Therefore;
Total cost of the land = area of land x 1000RS
= 48 X 1000RS
=48,000 RS
Cost of land is 48,000 RS. (OPTION B)