Bissoy.com
Doctors Medicines MCQs Q&A

A shopkeeper bought 3 qualities of rice A, B and C at a price of Rs. 80 per kg, Rs. 60 per kg and Rs. 50 per kg respectively. He mixed them such that the mixture contained 40% of quality A, 30% of quality B and remaining quality C. At what price (Rs. per kg) should he sell the mixture to earn a profit of 40%?

A shopkeeper bought 3 qualities of rice A, B and C at a price of Rs. 80 per kg, Rs. 60 per kg and Rs. 50 per kg respectively. He mixed them such that the mixture contained 40% of quality A, 30% of quality B and remaining quality C. At what price (Rs. per kg) should he sell the mixture to earn a profit of 40%? Correct Answer Rs. 91

Let the total quantity of the mixture be ‘x’ kg

Quantity of quality A in mixture = 40% of x = (2/5)x

⇒ Cost price of quality A in mixture = 80 × (2/5)x = Rs. 32x

Quantity of quality B in mixture = 30% of x = (3/10)x

⇒ Cost price of quality B in mixture = 60 × (3/10)x = Rs. 18x

Quantity of quality C in mixture = 30% of x = (3/10)x

⇒ Cost price of quality C in mixture = 50 × (3/10)x = Rs. 15x

Hence,

Cost price of x kg of mixture = 32x + 18x + 15x = Rs. 65x

⇒ Cost price of 1 kg of mixture = 65x/x = Rs. 65

In order to earn a profit of 40%,

∴ Selling price of mixture = 65 + 40% of 65 = 65 + 2/5 × 65 = 65 + 26 = Rs. 91

Related Questions

A shopkeeper has 12 kg of pure rice and 6 kg of impure rice. He mixes both type of rice but 3 kg of the mixture gets spoiled. If he again mixes 3 kg of impure rice to the remaining mixture and sell mixture at a price 20% above the cost price of pure rice. Then what is actual profit or loss percentage if cost of impure rice is 50% of cost of pure rice.
A shopkeeper wants to sell 100 kg of rice which he bought for Rs 10 per kg at 60% profit. Initially he sold ‘x’ kg of rice dishonestly by selling 900 grams of rice as 1 kg. Later he realizes his mistake and sells the remaining rice at 50% profit and correct measuring methods so that he earns only the profit he decided to earn earlier. Find the value of x.
A shopkeeper has 100 kg of good grade rice and x kg of bad grade rice. He brought good and bad grade rice for Rs. 20 and Rs. 10 respectively. He can sell the good and bad grade rice at Rs. 30 and Rs. 13.5 respectively. Out of x kg, if he mixes y kg of bad grade rice with good grade, he will get a profit of 69 2/7% from total sale. If he mixes y/2 kg of bad grade rice with good grade, he will get a profit of 57.5%. What is the profit he would have got if he sold honestly? (in rupees)
A shopkeeper bought 2 kinds of Rice, Rice A costing Rs. 45 per kg while Rice B costing Rs. 66 per kg. He mixed them such that the mixture costs Rs. 52.5 per kg. Find the ratio in which both Rice were mixed.
Seven friends, Anil, Sunil, Rohit, Puja, Shalini, Pradhi and Gaurav bought seven cars during a week but each one bought their cars on a different day of the week. Each of them also bought a different brand of car. The brands are: Maruti, Honda, Toyota, Renault, Tata, Mahindra and Hyundai. Consider the week stated on a Monday and ended on the following Sunday. The following information are known: Rohit bought a Hyundai on Monday On Sunday, one of them bought a Renault. Shalini bought her car just the day after Anil and just the day before Gaurav Anil bought a Mahindra car Puja bought a Tata car on Friday Sunil did not buy either a Toyota or a Renault Gaurav bought a Maruti On which day did Shalini buy her car and what was the brand of her car?
A merchant buys 48 kg of rice and sets a marked price in order to gain 25% by selling the rice. He sells 8 kg rice at the marked price and gave 10 kg to a relative at a discount of 15%. Later he found that 4 kg of rice was wasted in transition. He sells the remaining rice by increasing the marked price by a certain percentage in order to make an overall profit of 20%. By how much percent did he increased the marked price of the remaining rice?
Anil has two varieties of rice. Cost price of 1st variety of rice is Rs. 25 per kg and he purchased 5 kg. He purchased other variety of rice at certain rate and he purchased 6 kg of rice of other variety of rice. He mixes both the rice and sold at Rs. 31 per Kg. He made no profit. At what price per Kg did he purchase the second type of rice.
Consider the following statements in the light of the philosophy of Locke and mark the correct option:
1. Primary qualities are sensible qualities that depend on the perceiver.
2. Primary qualities are colour, sound, taste and texture.
3. Secondary qualities are those whose existence is independent of any perceiver.
4. Primary qualities are objective properties of things whereas secondary qualities are subjective properties.
Which one is correct with regard to John Locke philosophy?
1. Primary qualities are sensible qualities that depends on their perceiver.
2. Primary qualities are colour, sound, taste and texture.
3. Secondary qualities are those whose existence is independent of any perceiver.
4. Primary qualities are objective properties of things whereas secondary qualities are subjective properties.
A shopkeeper sells two varieties of rice at 15% profit and 10% profit respectively. He mixes both varieties and marks the price 40% above the cost price and gives the discount of 20% on marked price. The cost price of rice which he sells at 10% profit is Rs. 3000. Find the cost price of rice which he sells at 15% profit.