Question

Mrs. Kulkarni invests Rs. $1,31,040$ in buying Rs. $100$ shares at a discount of $9$%. She sells share 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.

• A. $16560$ loss
• B. $16560$ gain
• C. $16500$ gain
• D. $16500$ loss

Answer 1

The correct option is B $16560$ gain

Invested amount $=131040$ , actual rate of each share $=100$

Percentage of Discount $=9\%$

$\therefore$ rate at which she bought each share $=100-\frac{9}{100}\times 100=91$

$⟹$ number of shares $=\frac{131040}{91}=1440$

She sells shares worth $72000$ at $10\%$ more

number of shares sold $=\frac{72000}{100}=720$ shares

rate at which she bought each share $=100+\frac{10}{100}\times 100=110$

Amount she gets $=720\times 110=79200$

now remaining $720=(1440-720)$ shares are sold at $5\%$ discount

rate $=100-\frac{5}{100}\times 100=95$

Amount she gets $=720\times 95=68400$

Total amount she gets $=79200+68400=147600$

Gain $=$ amount she got back $-$ amount she invested

$=147600-131040$

$\therefore$ Gain $=16560$