Question

in what time will rs. 25,600 amount to rs.35,664 at the rate of 9 1 by 4 % p.a

Answer 1

the answer is 4.25 is the time

Answer 2

Question :-

In what time will Rs. 25,600 amount to Rs.35,664 at the rate of 37/4 % per annum .

To solve this we need to know :-

S.I = Amount - Principal

S.I = (Principal × Rate × Time) / 100

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Given :-

• Principal = Rs. 25600
• Amount = Rs. 35664
• Rate = 9 1/4% = 37/4 %

Now, Finding S.I that is simple interest

S.I = Amount - Principal

= 35664 - 25600

= 10064.

S.I = (Principal × Rate × Time) / 100

$\sf \mapsto \: 10064 = \dfrac{25600 \times \dfrac{37}{4} \times t}{100}$

Now the 4 in Numerator of the fraction can be bought to denominator so, let's do that

$\sf \mapsto \: 10064 = \cancel \dfrac{25600 \times 37 \times t} {100 \times 4}$

$\sf\mapsto \: 10064 = 64 \times 37 \times t$

$\sf\mapsto \: 10064 = 2368 \times t$

$\sf \mapsto \: t = \cancel\dfrac{10064}{2368}$

$\sf \mapsto \: t = \underline {4.25}$

∴ The time required is 4.25 .

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