Question

A sum of rs.2800 is divided into 2 parts in such a way that the intrest on both the parts are equal.If the first part is lent at 9%per annum for 5 years and second part is of 6 years

Answer 1

Answer:

Rs 1300

Rs 1500

Step-by-step explanation:

Hi,

Let x and y be the 2 parts in which the sum of Rs 2800 is divided

x + y = 2800

Given tht interest on both parts is equal.

Let x be lent at 9% for 5 years

Interest = x*9*5/100

= 9x/20

Let y be lent at 6.5% for 6 years

Interest = y*13/2*6/100

= 39y/100

Given that 9x/20 = 39y/100

y = 45x/39 = 15x/13

But x + y = 2800, so

x + 15x/13 = 2800

28x/13 = 2800

x = 1300

y = 1500

Hence the 2 parts are Rs 1300 and Rs 1500

Hope, it helps !