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Profit and Loss Exercise 3

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Profit, Loss and Discount 3

  • This online quiz will test your knowledge of Profit, Loss and Discount in Quantitative Aptitude.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

Deepa bought a calculator at 30% discount on the listed price. Had she not got the discount, she would have paid ₹82.50 extra. At what price did she buy the calculator?

List price of calculator

profit-and-loss-q-59138.png

= ₹275

Deepa bought calculator in

275 × 0.70 = ₹192.50

Mohan bought a watch with 25% discount on the selling price. If the watch cost her ₹1,545, what is the original selling price of the watch?

Let the marked price (SP) = ₹x

According to the question,

75% of x = 1545

⇒ x = profit-and-loss-q-59132.png

= ₹2060

Vinita bought a watch with 24% discount on the selling price. If the watch cost her ₹779, what is the original selling price of the watch?

Let the original selling price of watch = ₹x

According to the question,

x × profit-and-loss-q-59177.png = 779

or, x = profit-and-loss-q-59171.png = ₹1025

In a sale, a perfume is available at a discount of 15% on the selling price. If the perfume’s discounted selling price is ₹3675.4, what was the original selling price of the perfume?

Original selling price

= profit-and-loss-q-59458.png

= ₹4324

A discount of 16% on the marked price of a book enables a man to buy a pen which costs ₹80. How much did he pay for the book?

Let M.P. = ₹100, then discount = ₹16

∴ when discount = ₹80, then M.P = ₹x

Now, profit-and-loss-q-59492.png it’s direct proportion

∴ 100 : x : : 16 : 80

⇒ 16x = 100 × 80

⇒ x = ₹500

Now, since M. P. = ₹500, therefore, after 16% discount man paid

profit-and-loss-q-59486.png

A shopkeeper fixes the marked price of an item 20% above the cost price. He allows his customers a discount and makes a profit of 8%. Find the rate of discount.

Let C.P. = ₹100. Then M.P. = ₹120 and S.P. = ₹108

% discount profit-and-loss-q-59480.png

A chair originally costs ₹50. It was offered for sale at 108% of its cost. After a week, the price was 10% discounted and was sold. Find the sale price.

Offering price profit-and-loss-q-59473.png

After 10% discount, S.P.

= 90% of 54 profit-and-loss-q-59467.png

A shopkeeper purchased a table marked at ₹200 at successive discount of 10% and 15% respectively. He spent ₹7 on transportation and sold the table for ₹200. Find his gain %?

C.P. profit-and-loss-q-59523.png

profit-and-loss-q-59517.png

= ₹160

∴ % gainprofit-and-loss-q-59511.png

A shopkeeper bought 150 calculators at the rate of ₹250 per calculator. He spent ₹2500 on transportation and packing. If the marked price of calculator is ₹320 per calculator and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?

CP of 150 calculators

= 150 × 250 = ₹37,500.

∴ total CP = 37,500 + 2500 = ₹40,000

Marked price of 150 calculators

= 150 × 320 = ₹48,000

Selling price after discount

= 48000 × profit-and-loss-q-59846.png = ₹45,600

∴ Percentage profit

= profit-and-loss-q-59840.png

The list price of a watch is ₹160. A retailer bought the same watch ₹122.40. He got two successive discounts one at 10% and the other at a rate which was not legible. What is the second discount rate?

Retailer price = list price profit-and-loss-q-59870.png

⇒ profit-and-loss-q-59864.png

⇒ profit-and-loss-q-59858.png

⇒ d₂ = (1 – 0.85) × 100 = 15%

A video magazine distributor made 3500 copies of the March issue of the magazine at a cost of ₹3,50,000. He gave 500 cassettes free to some key video libraries. He also allowed a 25% discount on the market price of the cassettes and gave one extra cassette free with every 29 cassettes bought at a time. In this manner, he was able to sell all the 3500 cassettes that were produced. If the market price of a cassette was ₹150, then what is his gain or loss percent for the March issue of the video magazine?

CP of 3500 cassettes = ₹3,50,000

SP of each set of 30 (29 + 1) cassettes

profit-and-loss-q-60786.png

= ₹29 × 112.50 = ₹3262.50

∴ SP of 3500 cassettes including 500 free cassettes

= 3262.50 × 100 = ₹3,26,250

Overall loss = ₹3,50,000 – ₹3,26,250 = ₹23750

∴ % loss = profit-and-loss-q-60780.png

A shopkeeper marks up his goods to gain 35%. But he allows 10% discount for cash payment. His profit on the cash transaction therefore, in percentage, is

Let cost Price = ₹100

∴ Marked price = ₹135

After discount, selling price

= 135 – 13.5 = 121.5

∴ Profit% = 121.5 – 100 = 21.5%

A tradesman is marketing his goods 20% above the cost price of the goods. He gives 10% discount on cash payment, find his gain percent.

Let the C.P. of the goods be ₹100

⇒ Marked price of the goods = ₹120

Discount = 10%

⇒ S.P. is 90% of ₹120 = ₹108

∴ Gain% = (108 – 100) = 8%.

For a certain article, if discount is 25%, the profit is 25%. If the discount is 10%, then the profit is

For same article,

profit-and-loss-q-60430.png

⇒ profit-and-loss-q-60423.png

⇒ profit-and-loss-q-60417.png

⇒ profit-and-loss-q-60411.png

⇒ g₂ = 50%

A trader marks his goods at such a price that he can deduct 15% for cash and yet make 20% profit. Find the marked price of an item which costs him ₹90 :

SP = 90 × 1.2 = ₹108
Marked price
= profit-and-loss-q-60405.png = ₹127.05

By selling an umbrella for ₹30, a merchant gains 20%. During a clearance sale, the merchant allows a discount of 10% off the marked price (the price at which he used to sell). Find his gain per cent.

(100 + g₁) : S₁ : : (100 + g₂) : S₂

(100 + 20) : 30 : : (100 + g₂) : profit-and-loss-q-60399.png

[ 10% discount is allowed on S.P.]

120 : 30 : : (100 + g₂) : 27

profit-and-loss-q-60393.png

⇒ g₂ = 8%

By what % must the cost of goods be marked up so that even after a discount of 20% the same amount is realised as before the discount?

Let C.P. = ₹100, Also, let M.P. = ₹x

Given, C.P. after 20% discount on M.P. = C.P.

⇒ 80 % of x = 100

⇒ profit-and-loss-q-60387.png

∴ M.P. = 25 % above C.P.

Goods are sold so that when a discount of 4 percent is given on the sale price, a profit of 20 percent is made. How much percent, is the sale price higher than the cost price?

Let the C.P. be ₹100

S.P. = ₹120

Discount being 4%, S.P. is 96% of sale price.

∴ 96% of sale price = ₹120

⇒ sale price = ₹120 × profit-and-loss-q-60381.png

∴ Sale price is 25% higher than the C.P.

A private telephone company serving a small community makes a profit of ₹12 per subscriber, if it has 725 subscribers. It decides to reduce the rate by a fixed sum for each subscriber over 725, thereby reducing the profit by 1 paise per subscriber. Thus, there will be profit of ₹11.99 on each of the 726 subscribers, ₹11.98 on each of the 727 subscribers etc. The number of subscribers which will give the company, the maximum profit, is:

Profit, profit-and-loss-q-66282.png

For maximum P, profit-and-loss-q-66276.png

Taking x = 237, 725 + 237 = 962

and x = 238, 725 + 238 = 963

However x = 237.5

⇒ Total P = 962.5

An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?

Let C.P. = ₹100. Then, marked price = ₹150.

S.P. = 75% of ₹150 = ₹112.50

∴ Gain % = 12.50%

Now check your Result..

Your score is

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