Question

A merchant offers a mixture of 24 kg of rice at Rs. 18 per kg and 27 kg of rice of a different variety at Rs. 32 per kg for Rs. 25 per kg. Calculate his profit percentage​

Answer 1

SOLUTION

CORRECT QUESTION

A merchant offers a mixture of 24 kg of rice at Rs 16 per kg and 27 kg of rice of a different variety at Rs. 32 per kg for Rs 25 per kg. Calculate his profit percentage?

GIVEN

A merchant offers a mixture of 24 kg of rice at Rs 16 per kg and 27 kg of rice of a different variety at Rs. 32 per kg for Rs 25 per kg.

TO DETERMINE

Calculate his profit percentage

EVALUATION

Here it is given that the merchant mixes 24 kg of rice at Rs 16 per kg and 27 kg of rice of a different variety at Rs. 32 per kg

Cost price

= Rs ( 24 × 16 ) + Rs ( 27 × 32 )

= Rs 384 +864

= Rs 1248

Total mixture

= 24 + 27 kg

= 51 kg

Selling price

= Rs 51 × 25

= Rs 1275

Profit

= Rs 1275 - 1248

= Rs 27

Hence the required profit percentage

$= \sf \dfrac{27}{1248} \times 100\%$

= 2.16%

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Answer 2

Solution :-

→ CP of 1 kg of rice = Rs. 18 / kg

→ CP of 24 kg of rice = 24 * 18 = Rs. 432

similarly,

→ CP of 1 kg of rice = Rs. 32 / kg

→ CP of 27 kg of rice = 27 * 32 = Rs. 864

So,

→ Total quantity of mixture = 24 + 27 = 51 kg .

→ Total CP = 432 + 864 = Rs. 1296

now,

→ SP of 1 kg of rice = Rs. 25 / kg

then,

→ SP of total mixture = 51 * 25 = Rs. 1275

as we can see that,

→ Rs. 1296 > Rs. 1275

→ CP > SP

therefore, we can conclude that, the merchant occured loss in this case .

→ Total loss = CP - SP = 1296 - 1275 = Rs. 21

hence,

→ Loss % = (Loss * 100)/CP

→ Loss % = (21 * 100)/1296

→ Loss % ≈ 1.62 % (Ans.)

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