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A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

  • A.Rs. 35
  • B.Rs. 245
  • C.Rs. 350
  • D.Cannot be determined

Answer: D

The extra interest from two more percentage points over seven years would be

\[ \frac{P \times 2 \times 7}{100} = 0.14P \]

which needs the principal. All that is known is

\[ \frac{P \times R \times 7}{100} = 1750 \quad\Longrightarrow\quad PR = 25{,}000 \]

one equation in two unknowns. A sum of Rs. 5000 at 5% and a sum of Rs. 2500 at 10% both fit, yet they would give Rs. 700 and Rs. 350 of extra interest respectively.

So the answer cannot be determined.

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