Mrs. Kulkarni invests Rs.1, 31,040 in buying Rs.100 shares at a discount of 9%. She sells shares worth Rs.72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.
Mrs. Kulkarni invests Rs.1, 31,040 in buying Rs.100 shares at a discount of 9%. She sells shares worth Rs.72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.

Given,

Speculation

    \[=\text{ }Rs\text{ }1,31,040\]

Nominal worth of

    \[1\text{ }offer\text{ }=\text{ }Rs\text{ }100\]

Rebate

    \[=\text{ }9%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }9\]

In this way, the market worth of

    \[1\text{ }offer\text{ }=\text{ }Rs\text{ }100\text{ }\text{ }Rs\text{ }9\text{ }=\text{ }Rs\text{ }91\]

Then, at that point, the quantity of offers bought

    \[=\text{ }Investment/market\text{ }worth\text{ }of\text{ }1\text{ }offer\]

    \[=\text{ }1,31,040/91\text{ }=\text{ }1440\]

Number of offers worth

    \[Rs\text{ }72,000\text{ }=\text{ }72,000/100\text{ }=\text{ }720\]

Presently, Mrs. Kulkarni sells

    \[720\]

offers at a higher cost than expected of

    \[10%\]

Then, at that point, the market worth of

    \[1\text{ }offer\text{ }=\text{ }Rs\text{ }100\text{ }+\text{ }Rs\text{ }10\text{ }=\text{ }Rs\text{ }110\]

In this way, the selling cost of

    \[720\text{ }offers\text{ }=\text{ }720\text{ }x\text{ }Rs\text{ }110\]

The quantity of residual offers

    \[=\text{ }1440\text{ }\text{ }720\text{ }=\text{ }720\]

Furthermore, she sells

    \[~720\]

offers at a rebate of

    \[5%\]

Presently, the market worth of

    \[1\]

offer

    \[=\text{ }Rs\text{ }100\text{ }\text{ }Rs\text{ }5\text{ }=\text{ }Rs\text{ }95\]

The selling cost of

    \[730\]

offers

    \[=\text{ }720\text{ }x\text{ }Rs\text{ }95\text{ }=\text{ }Rs\text{ }68,400\]

All out selling cost

    \[=\text{ }Rs\left( 79,200\text{ }+\text{ }68,400 \right)\text{ }=\text{ }Rs\text{ }1,47,600\]

Subsequently, the all out acquire

    \[=\text{ }Total\text{ }selling\text{ }cost\text{ }\text{ }Total\text{ }venture\]

    \[\begin{array}{*{35}{l}} =\text{ }Rs\text{ }\left( 1,47,600\text{ }\text{ }1,31,040 \right)  \\ =\text{ }Rs\text{ }16560  \\ \end{array}\]