Prices of rice and wheat at a store are 5: 2. If the price of rice increases to 2: 5 ratio and the price of wheat at 3: 5 ratio, then what is the ratio of rice and wheat prices?
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Given :
Rice and wheat = 5 : 2
Increase of Rice = 2 : 5
Increase of wheat = 3 : 5
According to the question :
Rice = 5x
Wheat = 2x
Increase of Rice :
☞ 2 : 5
=> 2x / 5x
Increase in Wheat :
☞ 3 : 5
=> 3x / 5x
Prices of Rice and wheat :
Rice = Rs. 2x / 5x + 5x
=> 2x / 5x + 5x / 1x ( LCM = 5 )
=> 2x + 25x / 5x
=> 7x.
Wheat = 3x / 5x + 2x
=> 3x / 5x + 2x / 1x ( LCM = 5 )
=> 3x + 10x / 5x
=> 5x.
Ratio of prices :
So, 7x : 5x
x = 7 : 5
Therefore, the ratio = 7 : 5.
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