Question

answer the question no 10

Answer 1

mark it as brainliest

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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$<u>Your Question -</u>$

A sum of money lent at 8% p.a. simple interest for 5 years yields a certain amount of interest. Had it been lent for 7 years, it would have yielded Rs. 960 more. Find the sum.

$<u>Solution -</u>$

Let the Principal amount/sum (P) be 'x'.

Then, we consider two cases.

$\mathcal{Case \: 1}$

Principal (P) = x

Rate of interest (R) = 8% p.a.

Time (T) = 5 years

So, simple interest (S.I.)

= (P × R × T)/100

= (x × 8 × 5)/100

= 40x/100.
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$\mathcal{Case\: 2}$

P = x

R = 8% p.a.

T = 7 years.

So, S.I.

= (P × R × T)/100

= (x × 8 × 7)/100

= 56x/100.
______________________

Now, according to question,

S.I. for 5 years < S.I. for 7 years by 960.

So, if 960 is added to S.I. for 5 years, it will be equal to S.I. for 7 years.

=> 40x/100 + 960 = 56x/100

=> 960 = 56x/100 - 40x/100

=> 960 = (56x-40x)/100

=> 960 = 16x/100

=> 960 × 100/16 = x

=> 96000/16 = x

=> 6000 = x

=> x = 6000

$<marquee>Hence, the sum is Rs. 6000.</marquee>$
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Thank you .. ;-)