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Question :

Directions :Read the data carefully and answer the following questions:

Below table shows the quantity of red colour sold by five shopkeepers and the ratio of quantity of red colour to yellow colour sold by five shopkeepers:

The quantity of red colour soldThe ratio of quantity of red colour to yellow colour sold
Shopkeeper M1680 gm7: 11
Shopkeeper N3300 gm33: 17
Shopkeeper O4000 gm8: 7
Shopkeeper P8400 gm12: 25
Shopkeeper Q7000 gm14: 15

3/5th of total quantity of yellow colour sold by shopkeeper N and 1/3rd of the total quantity of red colour sold by shopkeeper N are organic herbal colour. What is the ratio of quantity of organic herbal yellow colour sold by shopkeeper N to the quantity of organic herbal red colour sold by shopkeeper N?

1. 17: 11

2. 51: 55

3. 34: 33

4. 7: 11

5. 55: 56

Correct Answer : 2
Solution :

Quantity of red colour sold by shopkeeper M = 1680 gm

Quantity of yellow colour sold by shopkeeper M = 1680 * 11/7 = 2640 gm

Similarly, calculating the remaining data:

The quantity of red colour soldThe quantity of yellow colour sold
Shopkeeper M1680 gm2640 gm
Shopkeeper N3300 gm1700 gm
Shopkeeper O4000 gm3500 gm
Shopkeeper P8400 gm17500 gm
Shopkeeper Q7000 gm7500 gm

The quantity of organic herbal yellow colour sold by shopkeeper N = 1700 * 3/5

And quantity of organic herbal red colour sold by shopkeeper N = 1/3 * 3300

Hence, required ratio = (1700 * 3/5): (1/3 * 3300) = 51: 55

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