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 shares quoted at Rs. 110. If his total income from these investments is Rs. 9,200; find:

1. his total savings.
2. the number of Rs. 50 shares.
3. the number of Rs. 100 shares.

Answer 1

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`

2^nd 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`

According 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