# a shopkeeper sells one-third of his articles at 25% profit, one-fourth of the remaining articles at 40% loss, and the remaining articles at a profit equal to the cost price of 13 articles. what is his profit percentage in the entire transaction?

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get a shopkeeper sells one-third of his articles at 25% profit, one-fourth of the remaining articles at 40% loss, and the remaining articles at a profit equal to the cost price of 13 articles. what is his profit percentage in the entire transaction? from screen.

## A shopkeeper sells one

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Question

## A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?

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Let the shopkeeper buy 300 g for Rs 300.

He sells 100 g for Rs 110.

another 100 g for Rs 120

and the rest 100 g for Rs 94.

∴ Total amount he receives = Rs 100+Rs 120+Rs 94 = Rs 324

∴ the shopkeeper spends rs 300 and gets back Rs 324.

∴ profit % = 300 324−300 ×100% = 300 24 ×100%=8%

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## [Solved] A merchant sells 1/3rd of his articles at 25% profit, 1/4th&

Let total number of article be 300. and CP for each article be Rs.1x Given that, A merchant sells 1/3rd of his articles at 25% profit, ∴ 100 article f

Home Quantitative Aptitude Profit and Loss Discount and MP

## Question

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## A merchant sells 1/3rd of his articles at 25% profit, 1/4th of his articles at 20% profit and rest of his articles at 20% loss. If overall profit is Rs. 138 then find the cost price of all articles.

Rs. 2750 Rs. 2760 Rs. 2770 Rs. 2720

## Answer (Detailed Solution Below)

Option 2 : Rs. 2760

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## Detailed Solution

Download Solution PDF

Let total number of article be 300. and CP for each article be Rs.1x

Given that,

A merchant sells 1/3rd of his articles at 25% profit,

∴ 100 article for Rs. 125x.

1/4th of his articles at 20% profit

∴ 75 articles for Rs. 90x

rest of his articles at 20% loss

remaining 125 articles for Rs.100x

Total sp = 125x + 90x + 100x = 315x

As we know CP for 300 article was 300x

profit was of Rs. 15x

∴ 15x = 138 ⇒ 9.2

required CP = 300x ⇒ 300 × 9.2 = 2760

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## More Discount and MP Questions

**Q1.**A man bought goods worth ₹6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole?

**Q2.**A shopkeeper made 20% profit after giving 20% discount. Calculate the ratio of the printed price to the cost price.

**Q3.**The sales of one pressure cooker and one rice cooker were initially Rs. 1200 and Rs. 2000 was done. In a sale, Chhaya bought a cooker at a discount of 30% and a rice cooker at a discount of 35%. What percentage of the total original cost did Chaya save?

**Q4.**A smart TV was purchased for Rs. 155000. Its price was marked up by 35%. It was sold at a discount of 20% on the marked price. What was the profit percent of the smart TV?

**Q5.**A radio is listed at ₹500 with a discount of 10%. What additional discount must be offered to the customer to bring the net price to ₹423?

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**Q9.**Raj bought a shirt and saved Rs. 20 when a discount of 25% was given. What was the price of the shirt before the discount?

**Q10.**'Buy three, get two free'. What is the percentage of discount being offered here?.

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**Q1.**Two friends invested ₹30,000 and ₹50,000 in a business. They earned a profit of ₹16,000 at the end of the year. One half of the profit was divided equally between them and other half was divided in the ratio of their capitals. How much did each of them receive?

**Q2.**A merchant has 500 kg of sugar, part of which he sells at 8% profit and the rest he sells at 18% profit. He gains 14% on the whole. The quantity of sugar sold at 8% is :

**Q3.**A man bought goods worth ₹6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole?

**Q4.**If ₹516 are divided among three persons A, B, C such that A receives 25% more than B and B receives 25% less than C, then C's share is:

**Q5.**A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio 3 ∶ 1 ?

**Q6.**Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs. 15. The profit percent is :

**Q7.**A, B and C invested Rs. 80,000, Rs. 40,000 and Rs. 80,000 respectively in a business. A left after six months. If total profit after eight months is Rs. 40,050, then what is the share of B in the profit ?

**Q8.**When a plot is sold for ₹18,700, the owner loses 15%. At what price must the plot be sold in order to gain 15%?

## A man sold one fourth of goods at loss of 25%. At what gain should he sell the rest to gain a profit of 20% on the whole?

Answer (1 of 4): Lets assume the man has 4 products worth 100 each So the Total cost of 4 products is 400 Now he needs to make an overall gain of 20% hence he should sell all his items at 480. But he sells 25% of his goods at 25% loss ie he sold 1 good at 75 now he needs to make up the loss of...

A man sold one fourth of goods at loss of 25%. At what gain should he sell the rest to gain a profit of 20% on the whole?

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Sort Ankith Sonthalia

MBA in Marketing & Finance, SDM Institute for Management Development (Graduated 2013)4y

Lets assume the man has 4 products worth 100 each

So the Total cost of 4 products is 400

Now he needs to make an overall gain of 20% hence he should sell all his items at 480.

But he sells 25% of his goods at 25% loss ie he sold 1 good at 75 now he needs to make up the loss of 25 n also 80 of profit from the 3 items remaining

So 80+25 is 105

So he needs to make a profit of 105 from the remining 3 items or the 75% of his goods

hence 105(profit required) divided by 300( cost of goods) miltiplied by 100 gives the result of 35%

So the man needs to sell the rest of the items at 35% gain.

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Example if you have Rs 100 and sell goods at 25 percent lesss comes to be Rs 75 . Now if you add 60 percent to balance 75 then whole will become 120 or say 20 percwnt on whole

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Uma Subramanian

Studied at Mumbai, Maharashtra, India (Graduated 1977)Author has 2.9K answers and 2.1M answer views3y

On 100% of goods gain should be 20%. Hence SP should be 120.

25% was sold at a loss of 25%. Therefore its SP is 25×75/100 or 75/4 (18.75)

To gain 20% profit it should have been sold at

25× 120/100 or Rs.30/-

Shortfall = 30 - 18.75 or 45/4.

Remaining 75% of the goods should be sold at

Rs. 90 (120% of 75) + 45/4 or 405/4 = 101.25.

SP 101.25 - CP 75 = 26.25 Profit

Gain = 26.25÷75 ×100 = 35 %

It can be cross checked like this:

25% goods sold at 18.75

75% goods sold at 101.25

Total goods sold at 120. Hence overall profit 20%.

Vasudevan A.N.S.

Former Retired Professor of Chemistry. (1977–2014)Author has 7.8K answers and 9.1M answer views2y

(¼S 0.75) + (¾ S x G)= 1.2S

So G= (1.2S - ¼S)÷¾S = (1.2–0.1875)/0.75

G = 1.0125/0.75= 1.35

Therefore the rest of the (¾- or 75%) Goods should be sold at a profit of 35%

Sumit Kumar

Lived in Mumbai, Maharashtra, IndiaUpvoted by

Nilesh Mundale

, MBA Marketing & Investing, Bharti Vidyapeeth Institute of Management Studies and Reserch (2007)3y

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Guys, does anyone know the answer?