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 cost of 1 book and 1 pencil together is Rs.37. If Ajinkya buys 4 books, 2 pencils and 3 pens. How much will he pay to the shopkeeper? (A) Rs 31 (B) Rs 150 (C) Rs 189 (D) Rs 169

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Equations Setup: 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, the cost is Rs. 129. 2. For 1 book, 2 pens, and 2 pencils, the cost is Rs. 79. 3. For 1 book and 1 pencil, the cost is Rs. 37.  We can write these equations as: 3B + 2P + 2C = 129 ...(1) B + 2P + 2C = 79 ...(2) B + C = 37 ...(3)  Now, we will solve these equations to find the values of B, P, and C.Calculate Cost of Book: First, we will subtract equation (2) from equation (1) to find the cost of 2 books: (3B + 2P + 2C) - (B + 2P + 2C) = 129 - 79 2B = 50 B = 25  So, the cost of one book is Rs. 25.Calculate Cost of Pencil: Next, we will substitute the value of B into equation (3) to find the cost of one pencil: B + C = 37 25 + C = 37 C = 37 - 25 C = 12  So, the cost of one pencil is Rs. 12.Calculate Cost of Pen: Now, we will substitute the values of B and C into equation (2) to find the cost of two pens: B + 2P + 2C = 79 25 + 2P + 2(12) = 79 25 + 2P + 24 = 79 2P = 79 - 25 - 24 2P = 30 P = 15  So, the cost of one pen is Rs. 15.Total Cost Calculation: Finally, we will calculate the total cost for Ajinkya, who buys 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  So, Ajinkya will pay Rs. 169 to the shopkeeper.

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