Profit And Loss - Study Mode

[#311] A bookseller procures 40 books for Rs. 3200 and sells them at a profit equal to the selling price of 8 books. What is the selling price of one dozen books, if the price of each book is same?
Correct Answer

(C) Rs. 1200

Explanation

Solution: Cost price of each book, = $$frac{{3200}}{{40}}$$xa0 = Rs. 80. Now, Selling Price of 40 books = CP of 40 books + SP of 8 books. Selling Price of 40 books - SP of 8 books = CP of 40 books. SP of 32 books = Rs. 3200 SP of 1 book = $$frac{{3200}}{{32}}$$xa0 = Rs. 100. So, Selling price of one dozen (12) book = 12 × 100 = Rs. 1200

[#312] A style cloth emporium the shopkeeper measures 20% less for every metre of cloth also he marks-up goods by 20%. What is the profit percentage?
Correct Answer

(A) 50%

Explanation

Solution: Let CP = Rs. 100, then SP will be 120. He gives cloth worth Rs. 80 instead of Rs. 100. Hence, % Profit = $$ {frac{{120 - 80}}{{80}}} imes 100 = 50\% $$

[#313] A traders sells two acrticles, one at a loss of 10% and another at a profit of 15% but finally there is no loss or gain. If the total sale price of these two articles is Rs. 30,000, find the difference between their cost prices:
Correct Answer

(B) Rs. 6000

Explanation

Solution: 10% of x = 15 % of y, where x + y = 30000 $$frac{{ ext{x}}}{{ ext{y}}} = frac{{3{ ext{k}}}}{{2{ ext{k}}}}$$ Hence, difference = k = Rs. 6000

[#314] The difference between a discount 40% on Rs. 500 and two successive discounts of 30% and 10% the same amount is:
Correct Answer

(C) Rs. 15

Explanation

Solution: 40% discount on 500 = $$frac{{40 imes 500}}{{100}}$$ xa0 = Rs. 200
Two successive discount 30% and 10% on 500 would be
500 ===30% discount ⇒ Rs. 350
350 ===10% discount = 315
Total discount in first case = Rs. 200
Total discount in second case = 500 - 315 = Rs. 185
So, difference = Rs. 15

[#315] A person having bought goods for Rs. 400 sells half of it at a gain of 5%, at what gain % must he sell the remainder so as to gain 20% on the whole?
Correct Answer

(D) 35%

Explanation

Solution: To gain 20% on whole he must sell all good for,
Rs. 400 + 20% of 400 = 480
As he get 5% gain on half of the goods i.e.
200 + 5% of 200 = 210
So required balance = 480 - 210 = 270
He must gain Rs. 70 on rest Rs. 200
% gain on remainder goods = $$frac{{70 imes 100}}{{200}}$$ xa0 = 35%