A borrows 800 at the rate of 12 per annum simple interest and B borrows 910 at the rate of 10 per an...........

Quant (SSC) Simple Interest

A borrows ? 800 at the rate of 12% per annum simple interest and B borrows ? 910 at the rate of 10% per annum, simple interest. In how many years will their amounts of debt be equal?

18 yrs

20 yrs

22 yrs

24 yrs

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Explanation:

Let the period of time be T years
Amount = (P + SI) = P + P × R × T/100
According to question,
∴ 800 + 800 × 12 × T /100
= 910 + 910 × 10 × T /100
⇒ 800 + 96 T = 910 + 91 T
⇒ 5 T = 110
⇒ T = 22 years