A shopkeeper professes to sell his goods at cost price but uses a weight of $800\, g$ instead of kilogram weight. Thus, he makes a profit of

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs.\, 1842.75$ for it, then what did Sita pay for it? (in $Rs.$)

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

If the cost price of $12$ pens is equal to selling price of $8$ pens, find the gain percent.

Raman, Manan and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}\,^{th}$ of total and Manan invests $\frac{3}{8}\,^{th}$ of the total. What is the ratio of profits of Raman, Manan and Kamal respectively?

Arun purchased $30\, kg$ of wheat at the rate of $Rs.\,11.50$ per $kg$ and $20\, kg$ of wheat at the rate of $Rs.\,14.25$ per $kg$. He mixed the two and sold the mixture. Approximately at what price per $kg$ should he sell the mixture to make $30 \%$ profit? (in $Rs.$)