Divide $R s . 3000$ into two parts such that the simple interest on the first part for $4$ years at $8 %$ per annum is equal to the simple interest on the second part for $2$ years at 9% per annum.

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Divide Rs. 6500 in two parts, such that if one part is lent out at 9% per annum and other at 10% per annum, the total yearly income(income from simple interest) is Rs.605.

The correct option is C 2000,4500Let the on one part =x the other part 6500−x⟹9x100+6500−x100×10=605⟹9x+65000−10x=60500⟹x=45006500−x=6500−4500=2000

Divide Rs. $6500$ in two parts, such that if one part is lent out at $9 %$ per annum and other at $10 %$ per annum, the total yearly income(income from simple interest) is Rs. $605$ .

The correct option is C $2000, 4500$
Let the on one part $= x$
the other part $6500 - x$
$⟹ \frac{9 x}{100} + \frac{6500 - x}{100} \times 10 = 605$
$⟹ 9 x + 65000 - 10 x = 60500$
$⟹ x = 4500$
$6500 - x = 6500 - 4500 = 2000$