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49 kg of blended tea contains Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is
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- 4.5 kg
- 3.5 kg
- 5 kg
- 6 kg
Correct Option: B
In 49 kg. of mixture,
| Tea of Assam ⇒ |  | × 49 |  | kg. = 35 kg. | |
| 7 |
Tea of Darjeeling ⇒ (49 – 35) kg. = 14 kg.
Let x kg. of Darjeeling tea be added.
| ∴ | = | ||
| 14 + x | 1 |
⇒ 28 + 2x = 35
⇒ 2x = 35 – 28 = 7
| ⇒ x = | = 3.5 kg. | |
| 2 |
