Question

certain amount earns simple interest of Rs. 1250 after 6 years. Had the interest been 4% more, how much more interest would it have earned​

Answer 1

Answer:

Let the amount be = X

Simple interest after 7 years = X * 7 * (r)/100 which is equal to 1250

So 7Xr = 1250 *100; Xr = 1250/7

Now assume interest rate is 2% more

Simple interest after 7 years = X * 7 *(r+2)/100 = (7Xr+14X)/100

Simple interest after 7 years = (1250*100 + 14X) / 100 = 1250 + 14X/100

Gain in Interest = 1250 + 14X/100 - 1250 = 14X/100

So had the interest been 2% more - the Same amount would have earned 14% of its value as more interest

Let us put Amount = 10000

Let rate of interest = 8%

Simple Interest after 7 years = 10000 * 8 * 7 / 100 = Rs. 5600/-

Now let rate of interest = 10%

Simple interest after 7 years = 10000 * 10 * 7 /100 = Rs. 7000/-

Excess Interest = Rs. 1400 = 14% of Rs. 10000/-

Now let us put Amount = 10000

interest = 12%

Simple INterest after 7 years = 10000 * 12 * 7 /100 = Rs. 8400/-

Let rate pf interest = 14%

SI after 7 years = 10000 * 14* 7 / 100 = Rs. 9800/-

Excess Interest = Rs. 1400/- = 14% of Rs. 10000

Now let us change the amount = 8500

INterest = 6%

SI after 7 years = 8500 * 6 * 7 / 100 = Rs. 3570/-

Let Rate of interest = 8%

SI after 7 years= 8500 * 8 * 7/100 = Rs. 4760

Excess Interst = Rs. 1190/- = 14% of 8500

SO NO MATTER WHAT THE AMOUNT AND INTEREST ARE - FOR THE SAME AMOUNT AND PERIOD OF 7 YEARS - IF THE INTEREST RATE IS INCREASED BY 2% - THEN THE EXCESS INTEREST WILL BE 14% of the AMOUNT

Step-by-step explanation:

Answer 2

Answer:

Concept:

Simple Interest.

Step-by-step explanation:

Given:

Simple interest = 1250 rupees after 6 years

Find:

If the interest is more 4%, how much more interest earned

Solution:

$x^{*} r / 100 * 6=1250(1) \\If \ the \ interest \ is, (r+4) \% , then ,interest =Then,\\ x *(r+4) / 100 * 6 \\Let the interest be, \mathrm{y} So, x *(r+4) / 100 * 6=y(2) \\ \begin{aligned}&x * r / 100 * 6+x * 4 / 100 * 6=y \\\\&1250+0.24 x=y\end{aligned}$

$So, whatever \ may \ be \ the \ rate \ of \ interest, in \ the \ case \ when \ it \ is \ more \ by \ 4 \% , the \ interest \ will \ be \ 24 \% \ more.$

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