Question

In 4 years, Rs 8050 amounts to 9338 at a certain rate of interest. How much will Rs 10500 amount to in 3 years at the rate of interest?

Answer 1

Answer:

r = 4%

amount = 11760

Given:-

• Time = 4
• principle = 8050
• amount = 9338
• R = ?

for 2nd condition,

• principle =10500
• time = 3
• rate = ?
• amount = ?

To find:-

• rate of interest
• and amount

Solution:-

here,

we are using simple interest formula

as per 1st condition

$amount \: = priciple \: + s.i \\ 9338 = 8050 + s.i \\ \\ s.i = 9338 - 8050 \\ \\ s.i = 1288 \\ \\ now \\ \\ s.i = \frac{p \times n \times t}{100} \\ \\ 1288 = \frac{8050 \times 4 \times r}{100} \\ \\ r = \frac{1288 \times 10}{8050 \times 4} \\ \\ r = 4\%$

now ,

as per 2nd comdition

here we will use R = 4%

$s.i = \frac{p \times \times n \times r}{100} \\ \\ \: \: \: \: \: \: = \frac{10500 \times 3 \times 4}{100} \\ \\ \: \: \: \: \: = 105 \times 12 \\ \\ s.i = 1260 \\ \\ for \: amount \\ \\ amount = pinciple +s .i \\ \\ amount = 10500 + 1260 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11760$