If Aditya sells an article to Nutan at $10 \%$ gain,while Nutan sells it to Manish at $20 \%$ gain at $Rs. 1914$,then what is the Cost Price in $Rs.$?

$A$ man buys a cycle for $Rs. 1400$ and sells it at a loss of $15 \%$. What is the selling price of the cycle? (in $Rs.$)

On a certain item,the profit is $150 \%$. If the cost price increases by $25 \%$,what will be the new profit margin (in $\%$)?

Mohit purchased $40 \, kg$ of wheat at $Rs. 12.50$ per $kg$ and $25 \, kg$ of wheat at $Rs. 15.10$ per $kg$. He mixed the two qualities of wheat for selling. At what rate should it be sold to gain $10 \%$? (in $Rs.$)

$A$ $TV$ set is being sold for $Rs. x$ in Chandigarh. $A$ dealer went to Delhi and bought the $TV$ at a $20\%$ discount (from the price of Chandigarh). He spent $Rs. 600$ on transport. Thus,he sold the set in Chandigarh for $Rs. x$,making a $14 \frac{2}{7}\%$ profit. What was $x$ in $Rs.?$

$A$ dishonest dealer defrauds to the extent of $x \%$ in buying as well as selling his goods by using faulty weight. What will be the gain per cent on his outlay?