Question

A sum of money lent at simple interest amounts to 744 in 2 years and to 816 in 3 years Find the sum and the rate percent.​

Answer 1

Question ⤵⤵⤵⤵⤵

A sum of money lent at simple interest amounts to 744 in 2 years and to 816 in 3 years Find the sum and the rate percent.

Answer ⤵⤵⤵⤵⤵⤵

Given,Simple Interest for 3 years = Rs.816

Simple Interest for 1 year = \frac{816}{3}

3

816

= Rs.272

Simple Interest for 2 years = Rs.272 × 2

=Rs.544

Amount for 2 years = Rs.744

We know that,Amount - Interest = Principal

744 - 544 = Principal

Rs.200 = Principal

Also,Simple Interest for 2 years = \frac{Principal\times Rate\times Time}{100}

100

Principal×Rate×Time

544 = \frac{200\times Rate\times 2}{100}

100

200×Rate×2

Rate = \frac{544\times 100}{200\times 2}Rate=

200×2

544×100

Rate = 136 %

Step-by-step explanation:

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I hope it is helpful for you

@Aman jha

Answer 2

Answer:

let the principle be P and rate be R

S.I = A - P

ATQ

744-P = PR*2/100 .....(1)

=> 744-P = PR/50

=> PR = 50(744-P)

and also 816-P = 3PR/100...... (2)

so, 816-P = 3*[50(744-P)]/100

=> 81600-100P = 111600-150P

=> 50P = 30000

=> P = 30000/50 = 600

so, R = 50*(744-600)/600 = 12%