The price of 5 bats and 18 balls is Rs. 6,500 and the price of 2 bats and 20 balls is Rs. 4,200. The price of a bat and a ball is, respectively: -

Explanation

Let the price of each bat and ball be ₹x and ₹y respectively. From the first condition $5x + 18y = 6500$ ...... (i) From the second condition $2x + 20y = 4200$ ...... (ii) By multiplying equation (i) by 2 and equation (ii) by 5 and subtracting, we get $10x + 36y = 13000$ ...... (iii) $10x + 100y = 21000$ ...... (iv) - - - $-64y = -8000$ $y = 125$ Putting the value of y in equation (i), we get $5x + 18y = 6500$ ## Page 37 $$5x + 18 \times 125 = 6500$$ $$5x = 6500 - 2250$$ $$5x = 4250$$ $$x = 850$$ Therefore, option (a) is the correct answer.