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What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?

1Rs. 400
2Rs. 120
3Rs. 510
4Rs. 220

Answer:- 1

Explanation:-

Solution:

(Principal + Interest) in 5 years → 520
(Principal + Interest) in 7 years → 568

\begin{aligned} ∴ Interest in 2 years  =  48 \\ ∴ I  = \frac{48}{2} \\ =  Rs . 24 in one year \\ ∴ P  =  520  -  24 \times 5 \\ =  Rs . 400 \end{aligned}

$\eqalign{ & \therefore {\text{Interest in 2 years = 48}} \cr & \therefore {\text{I = }}\frac{{{\text{48}}}}{2}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 24 in one year}} \cr & \therefore {\text{P = 520 - 24}} \times {\text{5}} \cr & \,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 400}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

(Principal + Interest) in 5 years → 520
(Principal + Interest) in 7 years → 568

\begin{aligned} ∴ Interest in 2 years  =  48 \\ ∴ I  = \frac{48}{2} \\ =  Rs . 24 in one year \\ ∴ P  =  520  -  24 \times 5 \\ =  Rs . 400 \end{aligned}

$\eqalign{ & \therefore {\text{Interest in 2 years = 48}} \cr & \therefore {\text{I = }}\frac{{{\text{48}}}}{2}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 24 in one year}} \cr & \therefore {\text{P = 520 - 24}} \times {\text{5}} \cr & \,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 400}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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