Q. A man has got…………………..by selling his ancestral property. He divides the money in the ratio 2:2:1. He lends the 1st part to his friend at 10% SI while he invested the 2nd part in the share market where he got some yearly returns which are Rs ‘X’ more than the return he got from lending to his friend. He invested the remaining amount in a bond where he got………..% annual return which is Rs 4000 more than X. Total annual return for the man is Rs 2,04,000. Return from the bond is 24% of the return he got from the share market.
A) Rs 1225000, 4%
B) Rs 2000000, 6%
C) Rs 1500000, 10%
D) Rs 200000, 6%
E) None of these
Sol:
Let the man get Rs A by selling his ancestral property.
1st part=2/5*A=0.4A
He lends the 1st part to his friend at 10% SI.
=> Return from 1st part=10/100*0.4A=0.04A 2nd part=0.4A
2nd part yields yearly returns which is Rs ‘X’more than the return he got from lending to his
friend
=> Return from 2nd part=0.04A+X
3rd part=0.2A
He invested the remaining amount in a bond
where he got an annual return which is Rs 4000
more than X
=> Return from 3rd part=X+4000
Return from bond is 24% of the return he got
from the share market.
=> X+4000=0.24(0.04A+X)
=> X+4000=0.0096A+0.24X
=> 0.76X=0.0096A-4000
=> 0.0096A=0.76X+4000
Also, total annual return for the man is Rs
2,04,000
=> 0.04A+0.04A+X+X+4000=204000
=> 0.08A=200000-2X
Multiplying both sides by 0.12, we get
0.0096A=24000-0.24X
=> 0.76X+4000=24000-0.24X
=> X=Rs 20000
0.08A=200000-2*20000=160000
=> A= Rs 200000
Investment in 3rd part=1/5*2000000=Rs 400000
Return from 3rd part=20000+4000=24000
=> % return=24000/400000=6%
