Question

A trader mixes 50 kgs of grains which costs ₹20 per kg with 50 kgs of the same grain which costs ₹25 per kg and spends ₹900 on transport. He sells the mixture at ₹27 per kg. Find his gain or loss percent.

• A. \(\frac{100}{7}\%\) loss
• B. \(\frac{99}{7}\%\) gain
• C. \(\frac{97}{7}\%\) gain
• D. \(\frac{96}{7}\%\) loss

Hint:

Always include extra expenses such as transport, packaging, commission, etc., while computing the total cost price.

Answer 1

The Correct Option is B

Step 1: Calculate the total cost of grain. Cost of first 50 kg: \[ 50\times20=1000 \] Cost of second 50 kg: \[ 50\times25=1250 \] Total grain cost: \[ 1000+1250=2250 \]

Step 2: Add transportation charges. Transport cost: \[ 900 \] Hence total cost price: \[ 2250+900 = 3150 \]

Step 3: Find total selling price. Total quantity: \[ 50+50=100\text{ kg} \] Selling price: \[ 100\times27 = 2700 \]

Step 4: Calculate profit or loss. \[ \text{Loss} = 3150-2700 = 450 \] Loss percentage: \[ \frac{450}{3150}\times100 \] \[ = \frac{1}{7}\times100 \] \[ = \frac{100}{7}\% \] Thus the actual result is \[ \boxed{\frac{100}{7}\% \text{ loss}} \]