#### Question

Mr Shameem invested 33 1/3% of his savings in 20% Rs 50 shares quoted at Rs 60 and the remainder of the savings in 10% Rs 100 share quoted at ₹ 110. If his total income from these investments is Rs 9,200; find :

(1) his total savings

(2) the number of Rs 50 share

(3) the number of Rs 100 share

#### Solution

Let his total savings is Rs y

1 st case

His saving = `33 1/3% "of" "y" = "Rs" "y"/3`

The market price of 1 share = Rs 60

Then shares purchased = `"y"/(3 xx 60) = "y"/(180)`

Dividend on 1 share = 20% of Rs 50 = Rs 10

Total dividend = `"y"/180 xx 10 = "Rs" "y"/18`

2nd case

His saving= `66 2/3% "of" "y" = "Rs" (2"y")/3`

Market price of 1 share = Rs 110

Then shares purchased = `(2"y")/(3 xx 110) = "y"/165`

Dividend on 1 share = 10% of Rs 100 = Rs 10

Total dividend = `"y"/165 xx 10 = "Rs" (2"y")/33`

Accoding to question

Total income = Rs 9200

`=> "y"/18 + (2"y")/33 = "Rs" 9200`

`=> (23"y")/198 = "Rs" 9200`

`=> "y" = (9200 xx 198)/23 = "Rs" 79200`

The number of Rs 50 share = `(79200)/180 = 440`

The number of Rs 100 share = `(79200)/165 = 480`