Question

traders mixes 26 kg of sugar at rupees 30 per kg with 20 kg of sugar of other variety at rate 61 per kg he sells the mixture so that he get 15% profit ​

Answer 1

Answer

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) No profit, no lossB) 5%C) 8%D) 10%

Answer:   B) 5%

Explanation:

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

 

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

 

Gain =(80/1600*100) % = 5%

Answer 2

Concept:

profit = $\frac{S.P. - C.P.}{C.P.}$ x 100

Given:

traders mix 26 kg of sugar at rupees 30 per kg with 20 kg of sugar of other variety at a rate of 61 per kg

Find:

he sells the mixture how so that he gets a 15% profit

Answer:

selling price of 46 kg sugar= 2300 Rs.

Step-by-step explanation:

traders mix 26 kg of sugar at rupees 30 per kg with 20 kg of sugar of other variety at a rate of 61 per kg

so,

cost price of (26 kg+ 20 kg) sugar =  (26x30 + 20x61) Rs.

cost price of 46kg sugar                 = (780+1220) Rs.

cost price of 46kg sugar                 = 2000 Rs.

selling price of (26 kg+ 20 kg) sugar= $x$ Rs.

profit = 15%

profit = $\frac{S.P. - C.P.}{C.P.}$ x 100

15 = $\frac{x-2000}{2000}$ x 100

15 = $\frac{x-2000}{20}$

15 x 20 = $x$ - 2000

300 = $x$ - 2000

$x$ = 300 + 2000

$x$ = 2300

Hence selling price of 46 kg sugar= 2300 Rs.

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