In what ratio Darjeeling tea costing Rs. 320 per kg be mixed with Assam tea costing Rs.250 per kg so that there is a gain of $20 %$ by selling the mixture at Rs. 324 per kg.

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1:2

2:3

3:2

2:5

answer is D.

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Detailed Solution

Concep- Word puzzles with mixed-up objects or amounts are known as mixture problems. The process of mixing two or more objects and identifying features is known as a mixture issue.
The combination would be sold for Rs. 324 per kilogram.
Gain of the combination: 20%
Here, we must use the cost price calculation algorithm (c .p)

= c ⋅ p = 100 100 + gain % ⋅ s ⋅ p s ⋅ p (

selling price )

= 100 100 + 20 ⋅ 324

= 100120 ⋅ 324

The result of the aforementioned equation is =Rs. 270 per kilogram.
Consequently, Darjeeling tea costs Rs. (320-270) per kg, or Rs. 50 per kg.
In addition, Assam tea costs Rs. (270–250) per kg or Rs. 20 per kg.
Here, the proportion of Assam tea to Darjeeling tea is equal to the cost of Assam tea divided by the cost of Darjeeling tea in order to make a 20% profit at the rate of 324 per kg of the combination.

= 2050

By canceling the numerator by the denominator, we obtain

= 25

For a profit of 20% at a rate of 324 per kilogramme of the blend, the ratio of Darjeeling tea to Assam tea is 2:5.
Hence, the correct answer is option 4.

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