Raheem sells a machine for $RS. 48$ lakh at a loss. Had he sold it for $RS. 60$ lakh,his gain would have been $5$ times the former loss. Find the cost price of the machine in lakh $Rs.$?

$A$ fair price shopkeeper makes $10 \%$ profit on his goods. He lost $20 \%$ of his goods during theft. His loss percent is: (in $\%$)

$A$ discount of $40 \%$ on the marked price of a trouser enables Ajit to purchase a shirt also which costs him $₹ 320$. How much did Ajit pay for the trouser? (in $₹$)

If a commission at the rate of $10 \%$ is given to a bookseller on the marked price of a book by the publisher,the publisher gains $20 \%$. If the commission is increased to $15 \%$ then the gain percent would be

$A$ vendor bought toffees at $6$ for a rupee. How many for a rupee must he sell to gain $20 \%$?

$A$ person earns $15 \%$ on an investment but loses $10 \%$ on another investment. If the ratio of the two investments is $3:5$,what is the gain or loss percentage on the two investments taken together (in $\%$)?