#### 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" (2y)/3`

Market price of 1 share = Rs 110

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

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

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

Accoding to question

Total income = Rs 9200

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

`=> (23y)/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`