A sum of money becomes Rs. 2240 in 2 yearsand Rs. 2600 in 5 years at simple interest. Find theprincipal.
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A sum of money becomes Rs. 2240 in 2 yearsand Rs. 2600 in 5 years at simple interest. Find theprincipal.
A.1800
B.2000
C.1500
D.2100
E.1900
The interest for 3 years (5 - 2) is 2600 - 2240 = 360. Thus, the interest for 1 year is 120. The interest for 2 years is 240. The principal is 2240 - 240 = 2000.
The difference between the amounts after 5 years and 2 years represents the simple interest for 3 years, calculated as 2600 minus 2240 = 360. The simple interest for 2 years is (360 divided by 3) times 2 = 240. Subtracting this 2-year interest from the amount at 2 years gives the principal: 2240 minus 240 = Rs. 2000.