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.
Please give the answer fast please ​

Answer 1

Answer:

• 12.5%

GivEn :-

• A tea merchant blends two varieties of tea in the ratio 5 : 4.
• The cost of first variety is Rs 200 per kg
• cost of second variety is Rs 300 per Kg.
• he sells the blended tea at the rate of Rs 275 per kg

To Find :-

• Percentage of profit or loss

Step-by-step 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,

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

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

Answer 2

$\underline{\underline{\textsf{\maltese\:\: Given :}}}$

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

☞ The cost of first variety is Rs 200 per kg.

☞ The cost of second variety is Rs 300 per kg.

☞The cost of blended variety is Rs 275 per kg.

$\underline{\underline{\textsf{\maltese\:\: To Find :}}}$

☞ Profit% OR Loss% = ?

$\underline{\underline{\textsf{\maltese\:\: Solution :}}}$

Let the ratio of two varieties of tea be 5x : 4x.

Cost of 1 kg of first variety of tea = Rs 200

⇒ Cost of 5x kg of first variety of tea = 5x × Rs 200

⇒ Cost of 5x kg of first variety of tea = Rs 1000x.

Cost of 1 kg of second variety of tea = Rs 300

⇒ Cost of 4x kg of second variety of tea = 4x × Rs 300

⇒ Cost of 4x kg of second variety of tea = Rs 1200x.

Total Cost Price (CP) = Cost of 5x kg of first variety of tea + Cost of 4x kg of second variety of tea

⇒ Total Cost Price (CP) = Rs 1000x + Rs 1200x

∴ Total Cost Price (CP) = Rs 2200x.

Total quantity of blended tea = 5x + 4x

⇒ Total quantity of blended tea = 9x

Selling Price (SP) of 1kg of blended tea = Rs 275

⇒ Selling Price (SP) of 9x of blended tea = Rs 275 × 9x

⇒ Selling Price (SP) of 9x of blended tea = Rs 2,475x

∴ Total Selling Price (SP) = Rs 2,475x.

As SP > CP so there will be Profit.

Profit = SP - CP

⇒ Profit = Rs 2,475x - Rs 2200x

⇒ Profit = Rs 275x.

$\bf {Profit\% = \dfrac{Profit \: Amount \: (P) \; *\; 100}{Cost \; Price \; (CP)}}$

$\sf Profit\% = \dfrac{Rs 275x \; * \; 100}{Rs 2200x}$

$\sf Profit\% = 12.5\%$

∴ The tea merchant's Profit% is 12.5%.

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