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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Question : The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.
Option 1: 5 : 6
Option 2: 10 : 9
Option 3: 6 : 5
Option 4: 9 : 10
Question : The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.
Option 1: 8 : 11
Option 2: 7 : 6
Option 3: 5 : 9
Option 4: 3 : 4
Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:
Option 1: 9 : 4
Option 2: 2 : 1
Option 3: 9 : 7
Option 4: 8 : 5
Question : A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg more for Rs. 1116. The reduced price per kg is:
Option 1: Rs. 12
Option 2: Rs. 14
Option 3: Rs. 16
Option 4: Rs. 18
Question : Three cars travelled a distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is:
Option 1: 3 : 9 : 1
Option 2: 1 : 3 : 9
Option 3: 1 : 2 : 4
Option 4: 4 : 3 : 2
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