15. Mr. Arun, a registered person, is del-credere agent (DCA) of Udhay Limited and AST Limited. Mr. Arun reported following transactions for the month of October 2024: (i) Sale of Goods of Udhay Limited in DCA Capacity for ` 4,50,000 (Invoices are issued in the name of Udhay Limited) (ii) Sale of Goods of AST Limited in DCA Capacity for ` 2,20,000 (Invoices are issued by Mr. Arun in his own name) (iii) To both the principals he has given guarantee for the realization of payments from customers and to fulfil it, he extends short-term transaction-based loan to the customer and charged interest for the same. Interest earned from customers of Udhay Limited ` 45,000 Interest earned from customer of AST Limited ` 22,000 The value of supply of goods to customers on which tax will be paid by Mr. Arun is __________and value of exempt supply is _______________.

On solving the inequalities $\displaystyle 5x + y \le 100$, $\displaystyle x + y \le 60$, $\displaystyle x \ge 0$, $\displaystyle y \ge 0$, we get the following solution:

An employer recruits experienced $\displaystyle (x)$ and fresh workmen $\displaystyle (y)$ for his under the condition that he cannot employ more than $\displaystyle 11$ people $\displaystyle x$ and $\displaystyle y$ can be related by the inequality.

The solution set of the equations $\displaystyle x + 2 > 0$ and $\displaystyle 2x - 6 > 0$ is

On solving the inequalities; we get $\displaystyle 6x + y \ge 18$, $\displaystyle x + 4y \ge 12$, $\displaystyle 2x + y \ge 10$

Solve for $\displaystyle x$ of the inequalities $\displaystyle 2 \le \frac{3x - 2}{5} \le 4$ where $\displaystyle x \in N$

The common region in the graph of the inequalities $\displaystyle x + y \le 4$, $\displaystyle x - y \le 4$, $\displaystyle x \ge 2$ is