Question

A sum of ₹ 3800 is lent out in 2 parts in such a way that the interest on one part at 8% for 5 years is equal to that on another part at 1/2 % for 15 years. Find the sum lent out at 8%

Answer 1

Answer:

one part = 600

second part = 3200

Step-by-step explanation:

let say first part 100x

then other part = 3800-x

interest on 1st part = 100x *8*5/100

= 40x

interest on 2nd part = (3800-100x)* (1/2)*15 /100

= 285 -7.5x

40x = 285-7.5x

47.5x = 285

x = 6

one part = 600

second part = 3200

interest on each part = 40x = 240

if lent out at 8% for 1 year

interest = 3800 * 8/100 = 304