Answer:
4.50 yr
Explanation:
I assume that this is compound interest.
The compound interest equation is
![A = P(1+ (r )/( n))^(nt)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/esmaa2yqoodpflarkfvi74x7j6fdo1qem5.png)
You don't give the frequency of compounding, so I assume that it is once per year.
Data:
A = ₹117 000
P = ₹90 000
r = 6 % = 0.06
n = 1
Calculations:
![117 000 = 90 000(1+ (0.06 )/( 1))^(1 * t)](https://img.qammunity.org/2020/formulas/mathematics/high-school/r1w3ch0saqr322is0igvha08kd2t6oi6ze.png)
![117 000 = 90 000(1+ 0.06)^(t)](https://img.qammunity.org/2020/formulas/mathematics/high-school/1h6iem30ltn1p2pftjychzzc5rw0lbs5k7.png)
Divide each side by 90 0000
![1.3 = 1.06^(t)](https://img.qammunity.org/2020/formulas/mathematics/high-school/2pgo5fd7f1s7jufql0cem0x6j5wxn1yg2p.png)
Take the logarithm of each side
log1.3 = tlog1.06
0.1139 = 0.025 31t
Divide each side by 0.025 31
t = 4.50 yr
You can buy your magic carpet in 4.50 yr.