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A shopkeeper blends two varieties of tea, priced at Rs. 18 and Rs. 13 per kilogram, respectively in the ratio of 6 : 4. If he sells the blended variety for Rs. 20 per kilogram, then what is the percentage profit in the transaction?

A shopkeeper blends two varieties of tea, priced at Rs. 18 and Rs. 13 per kilogram, respectively in the ratio of 6 : 4. If he sells the blended variety for Rs. 20 per kilogram, then what is the percentage profit in the transaction? Correct Answer 25 %

Given: 

A shopkeeper blends two varieties of tea, priced at Rs. 18 and Rs. 13 per kilogram in the ratio of 6 : 4.

The selling price of blended tea is 20 per kilogram.

Concept:

Profit = S.P - C.P

Proit% = (Profit/C.P) × 100%

Calculation:

Let the quantity of one tea is 6 kg and the other tea is 4 kg respectively, then the total quantity of tea is 10 kg

The cost price of one tea is 

⇒ 18 × 6

⇒ 108 rupees 

The cost price of the other tea is

⇒ 13 × 4

⇒ 52 rupees 

Now,

The total cost price of tea is 

⇒ 108 + 52

⇒ 160 rupees 

The total selling price is 

⇒ 20 × 10

⇒ 200 rupees 

So, 

The profit is 

⇒ 200 - 160

⇒ 40 rupees 

The profit% is 

⇒ (40/160) × 100%

⇒ (1/4) × 100%

⇒ 25%

∴ 25%

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