Question

Suprith bought 40 kg of rava at the rate of Rs.8.50 per kg
and 55 kg at the rate of Rs.8.75 per kg. He mixed the two.
Approximately at what price per kg should he sell the
mixture to make 40% profit at the cost price?
a. 12
b. 14
c. 25
d. 21

012​

Answer 1

Answer:

The correct option is A

Step-by-step explanation:

Step 1 of 2:

• cost of 40 Kg of rava at rate of Rs 8.5 per kg  $=40$×$8.5 = 340$

• Cost of 55 Kg of rava at rate of Rs 8.75 per kg $=55$×$8.75 = 481.25$
• Total cost price of mixture $= 340 +481.75 = 821.25$

Step 2 of 2:

• Profit is given by

          $P=\frac{SP -CP}{CP} *100\\40=\frac{SP -CP}{CP} *100\\\\0.4CP=SP -CP\\Sp=1.4 CP\\SP=1.4 *821.25\\SP=1149.75$

• SP of the full mixture is $\frac{1149.75}{95} =12$  

Answer 2

Given:

The weight of Rava from the first store = 40kg

The weight of Rava from the second store = 55kg

The cost of 1 kg Rava at the first store = Rs8.50

The cost of 1 kg Rava at the second store = Rs8.75

Profit percentage that Suprith made = 40%

To Find:

The price of the mixture of Rava that Suprith will be selling.

Solution:

Total weight of the mixture = 40 + 55 kg = 95 kg

Total cost price of the Rava of mixture = Rs (40 × 8.50) + (55 × 8.75)

⇒ Total cost of Rava = Rs 821.25

Total selling price of Rava = Rs $\frac{821.25*140}{100}$ = Rs 1149.75

Therefore, the selling price of 1 kg Rava = Rs $\frac{1149.75}{95}$  = Rs 12.1

Hence, the selling price per kg of Rava is Rs 12 which is option A).