Question

Sangeeta invests rs. 16500 partly in 10%, rs. 100 shares at rs. 120. If her total annual income from these shares be rs. 1180, find her investment in each kind of shares.


Solve this question by using formulas.

Answer 1

Let Rs A has been deposited on share value of Rs 130, and
Rs ( 16500 - A ) on share value of Rs 120.

Then the annual income
= A/130 X 100/100 X 10 + ( 16500 - A )/120 X 100/100 X 8
= A / 13 + 16500 / 150 - A / 15
= A / 13 - A / 15 + 1100 = 1180 { GIVEN )
L.C.M.= 13 X 15

15 A - 13 A = 80 X 13 X 15
2 A = 80 X 13 X 15
A = 40 X 13 X 15
= 7800 Rs

and on the other share = 8700 Rs

Answer 2

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here is your answer
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➡let Rs has been deposited on share value of 130,

➡Rs(16500-A) on share value of Rs 120

➡then annual income

➡A/130×100/100×10+(16500-A)/120×100/100×8

➡A/13+16500/150-A/15

➡A/13-A/15+1100=1180

➡given,

➡LCM=13×15

➡15A -13A=80×13×15

➡2A=80×13×15

➡A=40×13×15

➡7800Rs

➡then other share =8700Rs

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