# Dolly deposited Rs.20000 at 10% p.a simple interest for a period of n years. Lilly deposited Rs.18000 at the same rate at compound interest for the same period. After n years amount received by Dolly is Rs.2042 more than the amount received by Lilly. Find the value of n. Option 1) 6Option 2) 3Option 3) 2Option 4) 5Option 5) 4

For dolly

Total principal + ( PTR/100)

$= 2000 +\frac{\left \{ 2000\times 10\times N \right \}}{100}$

$2000 + 2000N$

For lily

$Total = P \left ( 1 + \frac{R}{100} \right ) ^{T}$

$= 18000 (1.1) {n}$

According to the given condition $2000 + 2000n = 2042 + 18000 (1.1)n$

$Only n = 3\: satis\! f\! y\: this \: equation$

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