Answer:
Total amount of money Astha borrowed= Rs 17000
Step-by-step explanation:
In the above question:
Given:
1. R(rate)= 7%
T(time)= 2 years
2. R(rate)= 6%
T(time)= 4 years
3. R(rate)= 9%
T(time)= 5 years
To find:
Total amount borrowed?
Solution:
Total interest= Rs 14110
We know, the formula for Simple interest as:
S.I= P×R×T/100
P= principle amount(here borrowed amount)
R= Rate of interest
T= Time
Let the total amount borrowed be 'x'
Then, total amount borrowed at the end of 11years will be;
S.I= P1×R1×T1/100+P2×R2×T2/100+P3×R3×T3/100
14110= x×7×2/100+x×6×4/100+x×9×5/100
14110= 14x/100+24x/100+45x/100(common denominator)(x is also common)
14110= 14x+24x+45x/100
14110= 83x/100
83x= 14110×100
x= 1411000/83
x= 17000
The amount of money she borrowed was Rs17000
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