Question

if rupees 500 amount to rupees 750 in 4 years 2 months .What will rupees 500 amount to in 3 years at the same rate of interest?​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Amount=680\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Principal(p) = 500 \: rupees \\ \\ \tt: \implies Amount = 750 \: rupees \\ \\ \tt: \implies Time( t_{1} ) =4 \: year\:2 \: month \\ \\ \tt: \implies Time( t_{2} ) =3\: year\\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Amount \: after \: t_{2} \: time = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies A = P + S.I \\ \\ \tt: \implies 750 = 500 + S.I \\ \\ \green{\tt: \implies S.I = 250 \: rupees} \\ \\ \bold{Simple \: interest \: for \: t_{1} \: time} \\ \tt: \implies S.I = \frac{p \times r \times t_{1} }{100} \\ \\ \tt: \implies 250 = \frac{500 \times r \times 50}{12 \times 100} \\ \\ \tt: \implies 250 =20.8333333333r \\ \\ \tt: \implies r = \frac{250}{20.8333333333} \\ \\ \green{\tt: \implies r = 12\%} \\ \\ \bold{S.I \: for \: t_{2} \: time} \\ \tt: \implies S.I = \frac{p \times r \times t_{2} }{100} \\ \\ \tt: \implies S.I = \frac{500 \times 12 \times 3}{100} \\ \\ \tt: \implies S.I = 180 \: rupees \\ \\ \bold{For \: amount : } \\ \tt: \implies Amount = p + S.I \\ \\ \tt: \implies Amount = 500 + 180 \\ \\ \green{\tt: \implies Amount =680 \: rupees}$

Answer 2

Answer:

The rupees 500 will amount to ₹ 680.

Step-by-step explanation:

Given P = ₹ 500

T = 4 years 2 months = 25/6 years

A = ₹ 750

S.I. = Amount - Principal = 750 - 500 = 250

S.I. = P*R*T / 100

250 = 500*R*25/100*6 = 5*R*25/6 = 125R/6

125R = 250*6

R = 250*6/125 = 2*6 = 12%

Again,

Given P = ₹ 500

R = 12%

T = 3 years

S.I. = P*R*T / 100

= 500*12*3 / 100 = 5*12*3 = 180

Therefore, Amount = Principal + Interest

= 500 + 180 = 680(answer).

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