If the simple interest on $Rs. 2000$ at $5\%$ $p.a.$ is equal to the true discount on $Rs. 2500$ for the same time and at the same rate,the time is (in $years$)

$A$ cloth merchant has announced a $25 \%$ rebate in prices. If one needs to have a rebate of $Rs. 40$,then how many metres of cloth costing $Rs. 32$ per metre should he purchase?

$A$ trader marks the sale price $25\%$ more than the cost price and gives a $10\%$ discount at the time of selling. The gain percent is (in $\%$)

$A$ merchant marks an article $20\%$ above cost price. He then sells it at a discount of $20\%$. The sale gives him

At a given rate,the simple interest and the true discount on a certain sum,for a given time,are $Rs. 24$ and $Rs. 22$ respectively. The sum 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?