1.  A sum of ₹ 2600 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another at 9% for 6 years. The sum lent out at 10% is :
A. ₹ 1150
B. ₹ 1250
C. ₹ 1350
D. ₹ 1450

Answer: Option C

Explanation:

Let the sum lent at 10% be ₹ X and that lent at 9% be ₹ (2600 - X). Then,

X x 10 x 5 + (2600 - X) x 9 x 6
100 100

<=> 50X = (2600 x 54) - 54X


 x =  2600 x 54
104

= 1350.
Sum lent at 10% = ₹ 1350.