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ICSE Class X Math 2013 Paper

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Salman buys 50 shares of face value ₹100₹ 100 available at ₹ 132 .
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Question : 24 of 46
Marks: +1, -0
If he wants to increase his annual income by ₹150\text{₹}150 , how many extra shares should he buy?
Solution:  
Let extra share should he buy be xx .
then total number of shares =50+x=50+x
Total face value =₹100×(50+x)=\text{₹}100 \times (50+x)
∴ Annual income =₹  100×(50+x)×7.5100=\text{₹}\;\frac{100 \times (50+x) \times 7.5}{100}
  =(50+x)×7.5\;=(50+x) \times 7.5
∴    (50+x)×7.5  =375+150\therefore\;\;(50+x) \times 7.5\;=375+150
50+x  =  5257.5=7050+x\;=\;\frac{525}{7.5}=70
x  =70−50=20x\;=70-50=20
Hence, the extra shares should be buy =20=20.
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