Question

A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2 years, 3 years and 6 years may be equal at the rate of simple interest are 6% p.a., 8% p.a., & 6% p.a. respectively. Then the smallest part of the sum will be: (a) Rs. 4,000 (b) Rs. 8,000 (c) Rs. 10,000 (d) Rs. 12,000

Answer 1

Answer:

8000

Step-by-step explanation:

X+Y+Z=44000----------(1)

S.I1=X*6*2/100=3X/25--------(2)

S.I2=Y*8*3/100=6Y/25-----------(3)

S.I3=X*6*6/100=9Z/25-------(4)

FROM (2),(3)&(4),WE GET

X=2Y

Z=2Y/3

putting this value on eqn.(1),we get

2Y+Y+2Y/3=44000

Y=12000

X=2Y=2*12000=24000

Z=2Y/3=2*12000/3=8000

so the answer is (b)Rs.8000