Bissoy.com
Doctors Medicines MCQs Q&A

An article is sold at Rs. n. If it is sold at 70% of this price, there would be a loss of 19.5%. Which of the following is correct? I. If original selling price is Rs. 920, the cost price is Rs. 800 II. Original selling price is 12% more than cost price III. If cost price is Rs. 850, n will be Rs. 977.5

An article is sold at Rs. n. If it is sold at 70% of this price, there would be a loss of 19.5%. Which of the following is correct? I. If original selling price is Rs. 920, the cost price is Rs. 800 II. Original selling price is 12% more than cost price III. If cost price is Rs. 850, n will be Rs. 977.5 Correct Answer <span style=" line-height: 115%; ">I and III </span>

Given:      

SP1 = Rs. n

SP2 = 70% of n

Loss = 19.5%                      

Formula Used:

Profit% = (Profit/CP) × 100

SP = {(100 + P%)/100} × CP

SP = {(100 – L%)/100} × CP

Where P is Profit, L is loss, CP is cost price and SP is selling price.

Calculation:

SP2 = 70% of n

⇒ (70/100) × n

Loss = 19.5%

⇒ SP2 = {(100 – 19.5)/100} × CP

⇒ (70/100) × n = {(100 – 19.5)/100} × CP

⇒ 70n = 80.5CP

⇒ n = 1.15CP

⇒ n = (115/100) × CP

⇒ n = {(100 + 15)/100} × CP

⇒ n(original selling price) is 15% more than CP

I. If original selling price is Rs. 920, cost price is Rs. 800

CP = Rs. 800

n is 15% more than CP

Original selling price = (115/100) × 800

⇒ Original selling price = Rs. 920

⇒ I is correct

II. Original selling price is 12% more than cost price

n(original selling price) is 15% more than CP

⇒ II is incorrect

III. If cost price is Rs. 850, n will be Rs. 977.5

n = 115% of CP

⇒ (115/100) × 850

⇒ 977.5

⇒ III is correct.

∴ I and III are correct.

Related Questions

An electronics shop was selling articles at a high discount. Kajal went to buy 3 articles from the shop. The cost of the first article is 33.33% less than the cost of the 2nd article. The cost of the 3rd article is 300% more than the discount on the 2nd article. The discount on the 1st article is 30% less than the discount on the 3rd article. After the discounts, Kajal receives an additional discount, which is equal to the sum of discounts on the first 2 articles. The discount on the 1st article is 80.55% less than the price of the 3rd article. Which of the following is true if the cost of article 1 is 50% less than the cost of article 3?
The selling price of an article A is 25% more than its cost price. The selling price of article B is 60% more than the selling price of A and the loss incurred on selling article B at this price is 33.33%. The cost price of article B is how much percent more/less than the cost price of article A? 
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The combined cost of three articles in a shop is Rs.4200. Two article sold at profit of 25% and 12.5% and third article is sold such that there is a loss of Rs.630. What is the loss percentage incurred on third article. I. The difference between cost price of highest article and lowest article is Rs.600. The costliest article is sold at a loss.  II, The cheapest item is sold at 25% profit. The the price of one of that article is the average price of the cheapest and costliest item.
A shopkeeper gives a discount of 28% on the marked price of article P and selling price of article Q is \(33\frac{1}{3}\;\)% more than the selling price at article P, if shopkeeper made 20% profit on article Q and selling price of article P was Rs 200 less than the cost price of article Q, then find the cost price of article P, which shopkeeper sold at a profit of 20%?
Mark price of an article is 50% more than cost price and 25% more than selling price; if article is sold at 33.33% more than selling price and difference between new selling price to marked price is 24 rupees then what is the cost price of the article?
The bar graph given below shows the cost price and selling price of 5 articles. Profit amount = Selling price – Cost price Loss amount = Cost price – Selling price Profit percent/Loss percent = [(Profit/Loss)/Cost price] × 100 Which of the following statement(s) is/are not correct? I. If the cost price of A and E gets interchanged, then there will be a loss of 24 percent on E. II. Profit earned on D is 25 percent.
Rohan sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 40% and the second article is sold at a loss of 40%. What is the ratio of the selling price of the first article to the cost price of the second article?
Rohan sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 40% and the second article is sold at a loss of 40%. What is the ratio of the selling price of the first article to the cost price of the second article?
Aniket sold a radio for Rs. 760 at some loss. Had she sold it for Rs. 920, then there would have been a profit equal to three times the initial loss. Which of the following is correct? A. CP is 100 less than a perfect square B. Aniket earns 15% profit C. 800 < CP < 900 D. Loss is 33.33% of profit.
There are six dealers - P, Q, R, S, T and U, of electronic appliances who have sold the different number of appliances - 25, 37, 40, 41, 45 and 46 in a particular month (not necessarily in the same order). T has not sold the highest number of appliances but has sold more than P. The number of appliances R has sold is in a multiple of 2. The number of appliances U sold is in a perfect square. Q has sold more appliances than R but less than T. P has sold more appliances than U but less than R. Who among the following has sold the third highest number of appliances?