Suresh borrowed ₹ 800 at 6% and Naresh borrowed ₹ 600 at 10% After how much time will they both have equal debts?

Q: Suresh borrowed ₹ 800 at 6% and Naresh borrowed ₹ 600 at 10% After how much time will they both have equal debts?

Given, R1 = 6% R2 = 10% According to the question, 800 + [(800 x 6 x T)/100] = 600 + [(600 x 10 x T)/100] 800 + 48T = 600 + 60T ⇒ 12T = 200 ⇒ 3T = 50 ∴ T = 50/3 = 162/3 yr

151/3 yr
141/2 yr
181/3 yr
162/3 yr

Correct Answer: 162/3 yr

Explanation:

Given, R₁ = 6% R₂ = 10%
According to the question,
800 + [(800 x 6 x T)/100] = 600 + [(600 x 10 x T)/100]
800 + 48T = 600 + 60T
⇒ 12T = 200
⇒ 3T = 50
∴ T = 50/3 = 16²/₃ yr

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