Question : The price of a bat and a ball are in the ratio 9 : 5. The price of the bat is Rs. 380 more than the price of the ball. Find the price of the ball.
Option 1: Rs. 470
Option 2: Rs. 485
Option 3: Rs. 475
Option 4: Rs. 480
Correct Answer: Rs. 475
Solution : Let the common ratio as $x$. So, the price of the bat is $9x$ and the price of the ball is $5x$. According to the problem, the price of the bat is Rs. 380 more than the price of the ball. $⇒9x = 5x + 380$ $⇒4x = 380$ $⇒x = 95$ So, the price of the ball = $5x$ = 5 × 95 = Rs. 475 Hence, the correct answer is Rs. 475.
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