Read the following scenario and answer the THREE questions that follow.
Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per square meter to small farmers at a village. He charges an annual interest rate of 10%. All the farming plots in that village are rectangular, with areas varying between a minimum of 1000 square meters and a maximum of 10,000 square meters.
This year, Brijbhushan has lent money only to five farmers: Aditya, Binod, Chhuttan, Dabloo and Govind. The perimeter of Chhuttan’s plot is 250 meters, with the length and width being at a ratio of 4:1. Aditya’s plot has an area three times the area of Govind’s plot. The area of Aditya’s plot is also the average of the areas of Govind’s plot and Dabloo’s plot. The plots belonging to Aditya, Binod and Dabloo are of the same width, but of different lengths. Moreover, the length of Binod’s plot is the sum of the lengths of Aditya’s plot and Dabloo’s plot.
What is the interest owed by Chhuttan to Brijbhushan at the end of the year?
Solution
For Chhuttan,
Perimeter of his land = 2 (l + b) = 250m
l + b = 125m $$\longrightarrow\ i$$
$$\ \frac{\ l}{b}=\ \frac{\ 4}{1}$$ (Given) $$\longrightarrow\ ii$$
From i and ii, we get,
4b + b = 125
b = 25m
l = 100m
Area of Chhuttan's land = 100 $$\times\ $$25 = 2500 $$m^2$$
Loan given to Chhuttan by Brijbhushan = 2500 $$\times10$$ = Rs 25000
Interest rate of the loan = 10%
Interest owed by Chhuttan at the end of one year = 10% $$\times\ $$Rs 25000 = Rs 2500
$$\therefore\ $$ The required answer is E.
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