Mohit purchased 25 kg of sugar at Rs. 30 per kg and mixed it with 15 kg of sugar at Rs. 36 per kg. At what rate should he sell the mixture to gain 10%.

A Rs. 35.5

B Rs. 35.475

C Rs. 35.625

D Rs. 35.85

E None of these

Solution

Correct Answer: Option B

Quantity of sugar purchased at Rs 30 per kg = 25 kg

Total amount of money spent to buy this quality of sugar = 25 × 30

= 750

Quantity of sugar purchased at Rs 36 per kg = 15 kg

Total amount of money spent to buy this quality of sugar = 15 × 36

= 540

Total money spent = 750 + 540

= Rs. 1290

Now, to obtain 10% profit on the deal he needs to earn 10% of 1290

Hence, SP of 40 kg sugar = 1290 + 10% of 1290

= 1290 + (10/100) × 1290 

= 1290 + 129

= 1419

We have SP of 40 kg suger = Rs 1419

∴ SP of 1 kg suger = Rs 1419/40

= Rs. 35.475

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