What is the rate of interest when the $P.W.$ of $Rs. 1245$ due in $15$ months is $Rs. 1200$? (in $\%$)

$A$ trader allows a discount of $15 \%$ on a trolley bag having a list price of $Rs. 1360$ and earns a profit of $15.6 \%$. What is the cost price (in $Rs.$) of the trolley bag?

$A$ dealer marks a washing machine for $Rs.\, 7500$ and allows a discount of $6 \%$ on it. Find its selling price in $Rs.$

The banker's discount on a sum of money for $1 \frac{1}{2}$ years is $Rs.\, 837$ and the true discount on the same sum for $2$ years is $Rs.\, 900$. The rate percent is:

The banker's gain on a bill due $1$ $year$ hence at $15 \%$ p.a. is $Rs.\, 9$. The true discount is (in $Rs.$)

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?