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komal

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· 1 Months ago

yrr soln kyo ni dete ho

Question:

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

Options:
A)

Rs. 11200

B)

Rs. 9600

C)

Rs. 8400

D)

Rs. 7600

Solution:

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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