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Home » Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate: (i) His investment in shares on the whole (ii) The number of shares of first kind that he bought
Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate: (i) His investment in shares on the whole (ii) The number of shares of first kind that he bought
Class 10 | Exercise 3C | ICSE | Maths | Selina | Shares and Dividend In Two Variables
Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate: (i) His investment in shares on the whole (ii) The number of shares of first kind that he bought

(I) Let’s expect the complete reserve funds be

    \[Rs\text{ }x\]

(which is the venture)

For the first part

    \[\text{ }80%\]

of his investment funds

Nominal worth of each offer

    \[=\text{ }Rs\text{ }100\]

Market worth of each offer

    \[=\text{ }100\text{ }+\text{ }20%\text{ }Rs\text{ }100\text{ }=\text{ }100\text{ }+\text{ }20\text{ }=\text{ }Rs\text{ }120\]

In this way, the quantity of offers purchased will be

    \[=\text{ }0.8x/120\]

Profit on each offer

    \[=\text{ }10%\text{ }of\text{ }100\text{ }=\text{ }Rs\text{ }10\]

Thus, the complete profit

    \[=\text{ }10\text{ }x\text{ }\left( 0.8x/120 \right)\text{ }=\text{ }Rs\text{ }0.8x/12\]

Presently, the second part (staying

    \[20%\]

of investment funds)

Nominal worth of each offer

    \[=\text{ }Rs\text{ }50\]

Market worth of each

    \[=\text{ }50\text{ }\text{ }20%\text{ }Rs\text{ }50\text{ }=\text{ }50\text{ }\text{ }10\text{ }=\text{ }Rs\text{ }40\]

Along these lines, the quantity of offers purchased

    \[=\text{ }0.2x/40\]

Profit on each offer

    \[=\text{ }20%\text{ }of\text{ }50\text{ }=\text{ }Rs\text{ }10\]

Thus, the complete profit

    \[=\text{ }10\text{ }x\text{ }0.2x/40\text{ }=\text{ }Rs\text{ }0.2x/4\]

Considering that profit (wages) from both the ventures are

    \[Rs\text{ }5600\]

In this way, we have

    \[\begin{array}{*{35}{l}} Rs\text{ }0.8x/12\text{ }+\text{ }Rs\text{ }0.2x/4\text{ }=\text{ }5600 \\ \left( 0.8x\text{ }+\text{ }0.6x \right)/12\text{ }=\text{ }5600 \\ x\text{ }=\text{ }\left( 5600\text{ }x\text{ }12 \right)/1.4 \\ \end{array}\]

    \[x\text{ }=\text{ }48,000\]

Along these lines, the interest in shares together as his reserve funds is

    \[Rs\text{ }48,000\]

(ii) Now, the quantity of offers purchased

    \[=\text{ }0.8x/120\text{ }=\text{ }\left( 0.8\text{ }x\text{ }48,000 \right)/120\text{ }=\text{ }Rs\text{ }320\]

i

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