The banker's gain on a certain sum of money due for $9$ months at $4 \%$ $p.a.$ is $Rs. 2.25$. The sum is (in $Rs.$)

$A$ dealer purchased an article for $Rs. 900$ and fixes the list price in such a way that he gains $20\%$ after allowing $10\%$ discount. What is the list price (in $Rs.$)?

The $B.G.$ (Banker's Gain) on a sum due $3 \text{ years}$ at $10 \%$ per annum is $Rs. 180$. The $B.D.$ (Banker's Discount) is (in $Rs.$):

The price of an article is cut by $42 \%$. To restore it to its original value,the new price must be increased by (in $\%$):

If the simple interest on a certain sum for some years at $6 \%$ is $Rs. 180$,and the true discount at $5 \%$ on the same amount for the same time is $Rs. 140$,find the sum (in $Rs.$) and the time (in $years$).

The discounts offered on a shirt of $Rs. 500$ and a pair of trousers of $Rs. 1000$ are $20\%$ and $40\%$ respectively. If Ajay bought $3$ shirts and $3$ pairs of trousers,what was the effective discount (in $\%$) he received?