Question : A person bought some rice and wheat for Rs 380. The ratio of the weight of rice and wheat is 4 : 3 and the price of an equal amount of rice and wheat is in the ratio 5 : 6. The rice was bought of worth
Option 1: Rs. 380
Option 2: Rs. 300
Option 3: Rs. 200
Option 4: Rs. 180
Correct Answer: Rs. 200
Solution :
The ratio of the quantity of Rice : Wheat = 4 : 3
Price of an equal quantity of Rice : Wheat = 5 : 6
Total cost of Rice : Total cost of Wheat
= 4 × 5 : 3 × 6
= 20 : 18
= 10 : 9
∴ Total cost of rice = $\frac{10}{19} \times 380$ = Rs. 200
Hence, the correct answer is Rs. 200.
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