Profit And Loss - Study Mode
[#146] A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 25%. Find the value of k?
Correct Answer
(C) 10%
Explanation
Solution: % Profit = $$frac{{25}}{{100}}$$ = $$frac{{120 + { ext{k}}}}{{880}}$$ → k = 100 Thus, Net % profit = $$frac{{100 imes 100}}{{1000}}$$ xa0 = 10%
[#147] A retailer increase the selling price by 25% due to which his profit percentage increase from 20% to 25%. What is the percentage increase in cost price ?
Correct Answer
(A) 20%
Explanation
Solution: 100 (Initial CP) --- 20%↑ (initial profit) → 120(SP) 120 (SP) --- 25%↑ → 150 (New SP) Let x be the new Cost price Selling Price = 150 x × 1.25 = 150 x = 120 % change = $$ {frac{{120 - 100}}{{100}}} imes 100$$ xa0 xa0 = 20%
[#148] A watch costing Rs. 120 was sold at a loss of 15%. At what price was it sold?
Correct Answer
(B) Rs.102
Explanation
Solution: 120 (CP) --- 15% ↓(loss) → 102 (SP) Mental work: 10% of Rs. 120 = 12 5% of Rs 120 = 6
[#149] The cost of setting up a magazine is Rs. 2800. The cost of paper and ink etc is Rs. 80 per 100 copies and printing cost is Rs. 160 per 100 copies. In last month 2000 copies were printed but only 1500 copies could be sold at Rs. 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from magazine which is advertising. What sum of money obtained from the advertising in magazine?
Correct Answer
(D) Rs. 1975
Explanation
Solution: Set up cost = Rs. 2800 Paper etc = Rs. 1600 Printing cost = Rs. 3200 Total cost = Rs. 7600 Total sale price = 1500 × 5 = 7500 Let amount obtained from advertising be x then, (7500 + x) - 7600 = 25% of 7500 x = 1975
[#150] A person bought a certain quantity of rice at the rate of Rs. 150/quintal. 10% of the rice was spoiled. At what rate(per quintal) should he sell the remaining rice to earn 20% profit.
Correct Answer
(B) Rs. 200
Explanation
Solution: Suppose he buy 1 quintal of Rice in Rs.150. 10% is spoiled so he now have to sell of 90 kg remaining). But he has to make a profit of 20%,so he will sell 90kg for Rs. 180 This means his selling price is Rs. 200 per quintal.