Divide 2379 into 3 parts so that their amounts
after 2, 3 and 4 years respectively may be equal
the rate of interest being 5% per annum at simple
interest. The first part is
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Answer:
Let the three parts be x,y and z.
Then, x+ 100x×2×5=y+100y×3×5=z+100z×4×5
⇒x+10x=y+203y=z+5z
1011x=2023y=56z=k(say)
∴x=1110k,y=2320k,z=65k
Given, x+y+z=2379
⇒1110k+2320k+65k=2379
⇒15181380k+1320k+1265k=2379
⇒3965k=2379×1518
⇒k=39652379×1518
⇒ First part = Rs. 11×510×3×1518= Rs. 828
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