Question

a sum of money at simple interest amount to rupees 696 in 2 year and rupees 840 in 5 years.The sum is?

Answer 1

Answer:

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Answer 2

The answer is 600.

We know that S.I.= $\frac{PRT}{100}$

When T=2,

S.I. = $\frac{P.R.2}{100}$ (I)

Interest= Amount- P

S.I. = 696-P (II)

Substituting (II) in (I),

696-P = $\frac{2PR}{100}$

$\frac{696-P}{2}$ = $\frac{PR}{100}$ (III)

When T=5,

S.I. = $\frac{P.R.5}{100}$ (IV)

Interest = Amount- P

S.I. = 840-P (II)

Substituting (II) in (I),

840-P = $\frac{5PR}{100}$

$\frac{840-P}{5}$ =  $\frac{PR}{100}$ (IV)

Since RHS of (III) = RHS of (IV),

$\frac{696-P}{2}$ = $\frac{840-P}{5}$

5 (696-P) = 2 (840-P)

3480-5P= 1680-2P

1800= 3P

600=P

Hence, the sum is Rs. 600.