Question

A grocer purchased 60kg of butter at the rate of ₹150 per kg .He sold 1/3 of it at a loss of 6%.At what price per kg should he sell the remaining butter so as to gain 10%on the whole deal?​

Answer 1

Answer:

Step-by-step explanation:

cost price of butter = 60*150=9000

1/3rd butter = (1/3)*60=20kg

s.p. of 20 kg butter = 3000*94/100=2820

gain on whole deal= 10%

S.P. = 9000*110/100=9900

remaining butter  = 40 kg

price he should sell = 9900-2820= 7080

per kg he should sell= 7080/40=177

Answer 2

Total Amount of butter = 60 kg

Total CP of butter = ₹(150×60)

$Sold \: \: \: Butter = \frac{60}{3} = 20kg \\ \\ its \: cp \: was \: Rs \: (150 \times 20) = Rs. \: 3000$

$.°. \: SP \: \: at \: \: 6 \: \% \: loss = \frac{100 - loss}{100} \times cp = \frac{100 - 6}{100} \times 3000 = \frac{94 \times 3000}{100} = 94 \times 30 = Rs.2820$

$Now, \\ Wished \: \: SP = \frac{100 + 12}{100} \times 9000 = \frac{112 \times 9000}{100} = 112 \times 90 \\ =Rs. \: 10080$

Now, Grocer need to sell the remaining butter i.e 40 kg at some rate which would allow him to earn ₹ 7260 as his selling price.

So,

$cp \: of \: 40 \: kg \: butter = Rs.(150 \times 40) = Rs.6000 \\ \\ sp = 7260 \\ \\ \frac{100 + gain\%}{100} \times cp = 7260 \\ \\ \frac{100 + gain\%}{100} \times6000 = 7260 \\ \\ (100 + gain\%) \times 60 = 7260 \\ \\ 100 + gain\% = \frac{7260}{60} = 121 \\ \\ gain\% = 121 - 100 \\ \\ gain\% = 21\%$

HOPE IT HELPED.....MARK ME BRAINLIEST !!!!!!!!