A man invests a part of Rs. 20,000 at 5% and theremainder at 6%. The 5% investment yieldsannually Rs. 120 more than the 6% investment.The amount invested at 6% is:
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The amount invested at 6% is ₹ 8,000.
Step-by-step explanation:
Given:- I)A sum of ₹ 20,000 is invested in two parts i.e, first part at 5% and the second part at 6%.
II)The first part (which invested at 5%) yields annually ₹120 more than the second part( which invested at 6%).
To Find:- The amount invested at 6% ?
Solution:- Let first part which is invested at 5% be ₹ x.
Then, second part is ₹ (20,000-x)
ATQ,
First part return - Second part return = ₹ 120
=> 5% of x - 6% of ( 20,000-x) = 120
= 5x/100- 6(20000-x)/100= 120
= 5x/100-120000/100+6x/100= 120
= 5x+6x/100= 120+120000/100
= 5x+6x/100= 120+1200
= 11x/100= 1320
= x= 132000/11
= x= 12000
pplochan2:
In alligation method bro
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