Mr. Shameem invested 33(1/3)% of his saving in 20% Rs 50 shares quoted at Rs 60 and the remainder of his saving quoted at Rs 110. If his income from these investments is Rs 9200. 1. Total saving....

Mr. Shameem invested 33(1/3)% of his saving in 20% Rs 50 shares quoted at Rs 60 and the remainder of his saving quoted at Rs 110. If his income from these investments is Rs 9200.

1. Total saving.

2. Rs 50 shares.

3. Rs 100 shares.

Please help I am unable to solve that 33(1/3)% part what's is that?

Asked on by avi292

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steveschoen | College Teacher | (Level 1) Associate Educator

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For Shameem's savings = x, divided up into 2 parts

First part = 1/3 x         Second part = 2/3 x

Investment for first part

Face value = Rs 50

Market value = Rs 60

Savings invested = 1/3 x = # shares bought * market value

So, # shares bought = (1/3 x) / (Rs 60) = 1/180 x

So, Dividend from part A = Face value * # shares bought * annual dividend/100

     = 50 * (1/180 x) * 20/100 = Rs. 1/18 x

Investment for second part (similar procedure)

Face value = Rs 100

Market value = Rs 110

Savings invested = 2/3 x = # shares bought * market value

So, # shares bought = (2/3 x) / (Rs 110) = 2/330 x

So, Dividend from part A = Face value * # shares bought * annual dividend/100

     = 100* (2/330 x) * 10/100 = Rs. 2/33 x

Total income from investment = Rs. 1/18 x   +   Rs. 2/33 x   =   69/594 x   =   Rx 9200

x = total savings = 9200 * 594/69 = Rs 79200

A = 1/3 * 79200 = Rs 26400

So, # of Rs 50 shares = 1/180 x = 1/180 * 79200 = 440 shares

B = 2/3 * 79200 = Rs 52800

So, # of Rs 100 shares = 2/330 x = 2/330 * 79200 =  480 shares

Sources:

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