Math, asked by ramanikalla, 5 months ago

If a certain sum amounts to ₹515 in 3 years and to ₹530 in 6 years, find sum and rate of interest.​

Answers

Answered by sonukumar9608978964
4

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7th

Maths

Comparing Quantities

Simple Interest

A certain sum amounts to Rs...

MATHS

A certain sum amounts to Rs.3,825 in 4 years and to Rs.4,050 in 6 years. Find the rate percent and the sum.

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ANSWER

We know that,

Amount,A=P+

100

PNR

For the first situation,

3,825=P+

100

P×4×R

=>3,825=P+

100

4PR

--- (1)

And for the second situation,

4,050=P+

100

P×6×R

=>4,050=P+

100

6PR

--- (2)

Now, subtracting eqn 1 from 2, we get

225=

100

2PR

=>PR=11,250

Putting the value of PR in equation 1, we get

=>3,825=P+

100

4×11,250

=>3,825=P+

100

4×11,250

=>3,825=P+450

=>P=3,375

And since PR=11,250

=>R=

3,375

11,250

=3

3

1

%

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Answered by niyatishanbhag32
3

Answer:

1%

Step-by-step explanation:

We know that,

(1) Interest = Principal × Rate of interest × Time

(2) Amount = Principal + Interest

Let principal = Rs x

For amount = Rs 515,

Using (2), we get:

Interest = 515 - x

Using (1), we get:

Rate of interest =  ( 515 − x )/ 3 x

Similarly, for amount = Rs 530,

Rate of interest =  ( 530 − x )/ 6 x

Equating both the rates of interest we have,

x = 500

Hence, rate of interest =  

15 /500 × 3

=  1 /100

= 1%

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