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A, B and C borrow Rs 29200 in all at 4% SI and pay back equal in full settlement of their respective debts after 5,10 and 15 years respectively. Find the sum borrowed by each.

A.	Rs 11200, Rs 9600, Rs 8400	B.	Rs 1120, Rs 960, Rs 840
C.	Rs 15200, Rs 5600, Rs 5400	D.	Rs 13200, Rs 3600, Rs 3400

Answer and Explanation

Answer:Rs 11200, Rs 9600, Rs 8400

Explanation:
Let A, B, C borrow Rs x, Rs y, Rs z respectively
x + y + z = 29200…(i)
A pays back Rs x + x(4)(5/100) = Rs 6x/5
B pays back Rs y + y(4)(10/100) = Rs 7y/5
C pays back Rs z + z(4)(15/100) = Rs 8z/5
6x/5 = 7y/5 = 8z/5
i.e. 6x = 7y =8z…(ii)
Solving (i) and (ii) simultaneously
X = 11200 , y= 9600 ,z=8400
A, B, C borrow Rs 11200, Rs 9600, Rs 8400 Respectively

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