Question

Modi purchases 75 kg of sugar at Rs. 300 per kg and mixes it with 45 kg of sugar at Rs. 360  per kg. At what rate should he sell the mixture to gain 25%.
1. 407.125
2. 403.125
3. 396.125
4. 768.125

Answer 1

Correct Answer - Option 2 : 403.125

Calculation:

Quantity of sugar purchased at Rs 300 per kg = 75 kg

Total amount of money spent to buy this quality of sugar 

⇒ 75 × 300

⇒ 22,500

Quantity of sugar purchased at Rs 360 per kg = 45 kg

Total amount of money spent to buy this quality of sugar

⇒ 45 × 360

⇒ 16,200

Total money spent = 22,500 + 16,200

⇒ Rs. 38,700

Now, to obtain 25% profit on the deal he needs to earn 25% of 38700

SP of 120 kg sugar, 

⇒ 38,700 + 25% of 38,700

= 38,700 + (25/100) × 38,700

= 38,700 + 9,675

= 48,375

We have SP of 120 kg sugar

⇒ Rs. 48,375

SP of 1 kg sugar

⇒ Rs 48,375/120

= Rs. 403.125

∴ SP of 1kg sugar is Rs. 403.125