In a stationery shop cost of 3 books 2 pens and 2 pencils all together is Rs. 129 . Cost. of 1 book 2 pens and 2 pencils together is Rs.79. And oost of 1 book and 1 pencil together is Rs.37. If Ajinkya buys 4 books, 2 pencils and 3 pens. How much will hes pay to the shopkeeper? (1) Rs 31 (2) Rs 150 (3) Rs 189 (4) Rs 169

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Equations Denotation: Let's denote the cost of one book as B, the cost of one pen as P, and the cost of one pencil as C. We are given three equations based on the information provided: 1. For 3 books, 2 pens, and 2 pencils: 3B + 2P + 2C = 129 2. For 1 book, 2 pens, and 2 pencils: B + 2P + 2C = 79 3. For 1 book and 1 pencil: B + C = 37  We will use these equations to find the values of B, P, and C.Find Cost of 1 Pen: First, we will subtract the third equation from the second equation to find the cost of 1 pen. (B + 2P + 2C) - (B + C) = 79 - 37 2P + C = 42 Since we know B + C = 37 from the third equation, we can substitute C from the third equation into the new equation: 2P + (37 - B) = 42 2P + 37 - B = 42 2P = 42 - 37 + B 2P = 5 + BFind Cost of 2 Books: Now, we will subtract the second equation from the first equation to find the cost of 2 books. (3B + 2P + 2C) - (B + 2P + 2C) = 129 - 79 2B = 50 Dividing both sides by 2 gives us the cost of one book: B = 25Find Cost of 1 Pen: Now that we have the value of B, we can find the value of P by substituting B into the equation 2P = 5 + B. 2P = 5 + 25 2P = 30 Dividing both sides by 2 gives us the cost of one pen: P = 15Find Cost of 1 Pencil: We can now find the value of C by substituting the value of B into the third equation B + C = 37. 25 + C = 37 Subtracting 25 from both sides gives us the cost of one pencil: C = 37 - 25 C = 12Calculate Total Cost: Now that we have the costs of a book, a pen, and a pencil (B = 25, P = 15, C = 12), we can calculate the total cost for Ajinkya's purchase of 4 books, 2 pencils, and 3 pens. Total cost = 4B + 2C + 3P Total cost = 4(25) + 2(12) + 3(15) Total cost = 100 + 24 + 45 Total cost = 169

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