Question : The ratio of the prices of A and B is 5 : 9, and the prices of C and D are 24 : 13. The price of C is Rs.1,500 more than the price of B, and the price of D is Rs.1,300. Find the price of A.
Option 1: Rs. 900
Option 2: Rs. 1,000
Option 3: Rs. 500
Option 4: Rs. 2,400
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Correct Answer: Rs. 500
Solution :
Given that the ratio of the prices of A and B is 5 : 9, and the prices of C and D are 24 : 13.
Let the prices of A, B, C, and D be $5x$, $9x$, $24y$, and $13y$ respectively.
So, $13y=1300$
⇒ $y=100$
So, the price of C $=$ $24y=\text{Rs.}\ 2400$
Price of B $=$ 2400 – 1500 $=$ 900
So, $9x = 900$
⇒ $x=100$
Price of A $=$ $5x = \text{Rs. } 500$
Hence, the correct answer is Rs. 500.
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