# Saurav Invested 10%, 30% and 40% of His Savings in Buying Shares of 3 Different Companies A, B and C Which Declared Dividends of 12%, 15% and 16% Respectively. - Mathematics

Sum

Saurav invested 10%, 30% and 40% of his savings in buying shares of 3 different companies A, B and C which declared dividends of 12%, 15% and 16% respectively. If Saurav's total income from dividends is Rs 3,025, find his savings and the amount invested in each company.

#### Solution

Let total savings be x.

Investment in company A = 10 % of x = 10/100 xx x = x/10

Investment in company B = 30 % of x = 30/100 xx x = (3 x)/10

Investment in company C = 40 % of x = 40/100 xx x = (4 x)/10 = (2 x)/5

Dividend given by company A = 12 %  of x/10

(12 xx x)/(100 xx 10) = 0.012  x ........(i)

Dividend given by company B =15 %  of (3 x)/10

=(15 xx 3 x)/(100 xx 10) = 0.045  x ...............(ii)

Dividend given by company C = 16 % of (2 x)/5

(16 xx 2 x)/(100 xx 5) = 0.064  x  ..............(iii)

(i) + (ii) +(iii) =Rs 3,025 ........... (given)

(0.012 + 0.045 + 0.064)x = Rs 3,025

0.12 l x=Rs 3,025

x = Rs 3025/0.121 = Rs 25000

Hence, Saurav's savings = Rs 25,000

Investment in company A = Rs x / 10 = Rs 25000/10 = Rs 2500

Investment in company B = Rs (3 x) / 10 = Rs 75000/10 = Rs 7500

Investment in company C = Rs (2 x) / 5 = Rs 50000/5 = Rs 10000

Concept: Shares and Dividends Examples
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#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 4 Shares and Dividends
Exercise 4.2 | Q 1 | Page 63