If the cost price is $96 \%$ of the selling price, then what is the profit percent?

A shopkeeper marks his goods at $40 \%$ above their cost price. He is able to sell $\frac{3}{4}$ th of his goods at this price, and the remaining at $40 \%$ discount. Assuming that the shopkeeper is able to sell the goods he buys, find his loss or gain as $\%$ of the whole transaction.

A trader buys $500\, kg$ of cotton for $Rs.\, 9,000.10 \%$ of this cotton is spoiled due to rain. At what rate ($Rs./ kg$) should he sell the rest to earn $10 \%$ profit?

A trader purchase a wrist watch and a pendulum for $Rs.$ $390.$ He sells them making a profit of $10 \%$ on the watch and $15 \%$ on the pendulum. He earns a profit of $Rs$. $51.50 .$ The difference between the original prices of the pendulum and the watch is equal to? (in $Rs.$)

Raman sells a machine for $Rs.\, 39$ lakh at a loss. Had he sold it for $Rs.\, 49$ lakh, his gain would nhave been three times the loss. What is the cost price of the machine? (in $Rs........lakh$)

Successive discounts of $10 \%, 12 \%$ and $15 \%$ amount to a single discount of