Question

[Maths]
Topic: Shares and Dividends

Q)) Mr. Shameem invested 33⅓% of his savings in 20% ₹ 50 shares quoted at ₹60 and the remainder of the savings in 10% 100 shares
quoted at ₹110. If his total income from these investments is 9,200, find :
(i) his total savings
(ii) the number of ₹50 shares.
(iii) the number of ₹100 shares.
_____
• No spams.
• Kindly match your answer(s) with the given correct answer(s) below.
(i) ₹79,200
(ii) 440
(iii) 480

Thanks in advance, : )​

Answer 1

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480 shares

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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

    $(1/3 x) / (Rs 60)$

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

Answer 2

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FINAL ANSWER :-

1. His savings = ₹79,200

2. The number of ₹50 shares = 440

3. The number of ₹100 shares = 480

STEP BY STEP EXPLAINATION :-

➪ Refer to the attachment for clear solution.

@SweetestBitter