Question

A tea merchant blends two varieties of tea in the ratio 5 : 4. The cost of first variety is Rs 200 per kg

and that of second variety is Rs 300 per Kg. If he sells the blended tea at the rate of Rs 275 per kg,

then find out the percentage of his profit or loss.​

Answer 1

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GivEn :-

• A tea merchant blends two varieties of tea in the ratio 5 : 4.

• The cost of first variety = Rs 200 per kg.

• cost of second variety = Rs 300 per Kg.

• He sells the blended tea at the rate of Rs 275 per kg.

To Find :-

Percentage of profit or loss

EXPLANATION-:

➠Let assume that the tea merchant blends two varieties of tea taking first variety 5x kg and second variety 4x kg.

➠Now,

The cost of first variety of tea = 200 × 5x = 1000x

➠And the cost of second variety of tea = 300 ×

4x = 1200x

➠Total quantity of the blended tea = 5x + 4x = 9x kg

➠S.P of the blended tea = 9x × 275 = 2475x

➠C.P = 2200x

➠Therefore,

Profit = 2475x - 2200x = 275x

➤The percentage of profit,

$\implies \sf \: \dfrac{275x}{2200x} \times 100$

$\implies \boxed{ \pink{ \bold{ 12.5\%}}}$

Answer 2

• A tea merchant blends two varieties of tea in the ratio 5 : 4.

• The cost of first variety = Rs 200 per kg.

• cost of second variety = Rs 300 per Kg.

• He sells the blended tea at the rate of Rs 275 per kg.

now,

The cost of first variety of tea = 200 × 5x = 1000x

And the cost of second variety of tea = 300 ×

4x = 1200x

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

S.P of the blended tea = 9x × 275 = 2475x

C.P = 2200x

Therefore,

Profit = 2475x - 2200x = 275x

12.5 profit percent