Question

Two varieties of rice, A and B. costing Rs.210 and Rs. 280 per kg respectively are mixed in the ratio of 3:4. The mixed variety is sold at Rs 260 per kg. What is the profit percentage?

Answer 1

Answer:

3:4

3kg cost = 210*3= 630

4kg cost= 280*4= 1120

c.p= 1750

but s.p= 210*7=1470

profit=1750-1470= 280

profit%=280/1750×100=16%

Answer 2

Answer:

The profit percentage is 4%.

Step-by-step explanation:

Given,

Cost of rice A = Rs 210 per kg

Cost of rice B = Rs. 280 per kg

The selling price of the mixed variety A and B = Rs 260 per kg

Rice A and Rice B is mixed in the ratio = 3:4

We know,

Ratio = (Dearer price - mean)/(mean - cheaper price)

Profit% = [(S P-C.P)/C.P]×100

Let the cost price of the mixture be Rs x.

$\frac{3}{4} = \frac{280 - x}{x - 210} \\ 3x - 630 = 1120 - 4x \\ 3x + 4x = 1120 + 630 \\ 7x = 1750 \\ x = \frac{1750}{7} \\ x = 250$

Required profit% =

$\frac{260 - 250}{250} \times 100\% = 4\%$

This is a problem of percentage.

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