astha borrowed some money at the rate of 7% for the first two years, at the rate of 6% for the next 4 years, and at the rate of 9% for last years. if she pays a totals interest of rs 14110 at the end of 11 years, how much did she borrowed.

Subject:
Math
Author:
emelychambers
Created:
1 year ago

Answers 2

Answer:

Astha borrowed approx. [tex]\text{Rs}30021[/tex].

Step-by-step explanation:

Let the sum Astha borrowed be [tex]$x$[/tex].

Then, using [tex]S.I=\frac{p*r*t}{100}[/tex], where [tex]p,r,t[/tex] are principle, rate & time respectively.

[tex]$$\begin{aligned}&\left(\frac{x \times 7 \times 2}{100}\right)+\left(\frac{x \times 6 \times 4}{100}\right)+\left(\frac{x \times 9 \times 1}{100}\right)=14110 \\&\left(\frac{14 x}{100}+\frac{24 x}{100}+\frac{9 x}{100}\right)=14110 \\\frac{47 x}{100}=14110 \\& x=\frac{14110\times 100}{47}=30021 .27\end{aligned}$$[/tex]

Hence, sum borrowed[tex]$=$ Rs 30021.27[/tex] or approximately Rs. [tex]30021[/tex].

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Author:

dámasoolson
Rate an answer:
1

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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Author:

reillyrosario
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astha borrowed some money at the rate of 7% for the first two years, at the rate of 6% for the next 4 years, and at the rate of 9% for last years. if she pays a totals interest of rs 14110 at the end of 11 years, how much did she borrowed.

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astha borrowed some money at the rate of 7% for the first two years, at the rate of 6% for the next 4 years, and at the rate of 9% for last years. if she pays a totals interest of rs 14110 at the end of 11 years, how much did she borrowed. ​

Answers 2

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astha borrowed some money at the rate of 7% for the first two years, at the rate of 6% for the next 4 years, and at the rate of 9% for last years. if she pays a totals interest of rs 14110 at the end of 11 years, how much did she borrowed.