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A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹200 per kg and that of second variety is ₹300 per kg. If he sells the blended tea at the rate of ₹275 per kg, find out the percentage of her profit or loss.

Solution:

Given, a tea merchant blends two varieties of tea in the ratio of 5 : 4

The cost of first variety is ₹200 per kg

The cost of second variety is ₹300 per kg

The cost of blended tea is ₹275 per kg

We have to find the percentage of profit or loss.

According to the question,

Let the first variety be 5x kg and the second variety be 4x kg.

Total quantity of tea = 5x + 4x = 9x kg

CP of first variety = ₹200(5x) = ₹1000x

CP of second variety = ₹300(4x) = ₹1200x

Total CP = 1000x + 1200x = ₹2200x

SP of 1 kg of blended tea = ₹275

SP of 9x kg of blended tea = ₹275(9x) = ₹2475x

Since CP < SP, it is profit.

We know, Profit = SP - CP

= 2475 - 2200

= ₹275

We know, Profit% = Profit/CP × 100

= 275/2200 × 100

= 275/22

= 25/11

= 12.5%

Therefore, the profit percentage is 12.5%

✦ Try This: If the cost price of 275 T-shirt is equal to the Selling price of 250 T-shirt, then what is its profit percent?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 122

A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹200 per kg and that of second variety is ₹300 per kg. If he sells the blended tea at the rate of ₹275 per kg, find out the percentage of her profit or loss.

Summary:

A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹200 per kg and that of second variety is ₹300 per kg. If he sells the blended tea at the rate of ₹275 per kg, the percentage of her profit is 12.5%

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