Question

a trader mixes 2kg of butter at rs 500per kg with 3kg of butter at rs 420per kg.he sells the mixture at rs150 per 250gm.find his profit%

Answer 1

Find the cost price of 5 kg of mixture:

Cost of 2 kg of butter @Rs 500 per kg = 2 x 500 = Rs 1000

Cost of 3 kg of butter @ Rs420 per kg = 3 x 420 = Rs 1260

Total cost = 1000 + 1260 = Rs 2260

Find the cost price of the 250g of the mixture:

5 kg = Rs 2260

5000 g = 2260

1 g= 2260 ÷ 5000 = Rs 0.452

250g = 0.452 x 250 = Rs 113

Find the profit percentage:

Profit = 150 - 113 = Rs 37

Profit percentage = 37/113 x 100 = 32.74%

The mixture is sold at a profit of 32.74%

Answer 2

Cost of 2 kg of butter [ Rs. 500 per kg ] = $\bold{2 \times 500 = 1000}$

Cost of 3 kg of butter [ Rs. 420 per kg ] = $\bold{3 \times 420 = 1260}$

Total cost = $\bold{1000 + 1260 = Rs. 2260}$

.

Now, the price of 250g of the mixture

= > $\bold{5 kg = Rs. 2260}$

= > $\bold{5000 g = 2260}$

= > $\bold{1g = 2260 ÷ 5000 = Rs. 0.452}$

= > $\bold{250g = 0.452 × 250 = Rs. 113}$

.

Profit = $\bold{150 - 113 = Rs. 37}$

Profit % = $\bold{\frac{37}{113} \times 100 = 32.74}$%

$\bold{Ans:}$ $\huge{\bold{\red{32.74}}}$%