# Quantitative Aptitude: Profit & Loss 16

1. Mani bough a printer and sold it to Raj for Rs.2160 thereby making a profit of 20%. At what price Mani must sell the printer to earn a profit of 40%?
Rs.2780
Rs.2665
Rs.2000
Rs.2520
Rs.2200
Option D
CP be x. x*1.2 = 2160
=> x = 1800
Required Amount = 1800*1.4 = Rs.2520

2. A shopkeeper bought an article for Rs.x. He spent Rs.650 on its repair. He marked the article 60% above the total price of the article for the shopkeeper and then sold the article offering two consecutive discounts of 10% and 25%. If he made a profit of Rs.248 then find the value of x.
2000
2450
2370
2200
2780
Option B
Total CP of the article = Rs.(x+650)
MP = (x+650)*1.60 = Rs.(1.6x+1040)
SP = x+650+248 = Rs.(1.6x+1040)*0.90*0.75
=> x + 898 = 1.08x + 702
=>x = 2450

3. A shopkeeper marked an article at x% above the cost price and sold it after two consecutive discounts of 10% and 20%. In this transaction he had a profit of Rs.360. Find the value of x if the marked price of the article is Rs.6750.
40%
30%
60%
20%
50%
Option E
SP of the article = 6750*0.80*0.90 = Rs.4860
CP = 4860 â€“ 360 = Rs.4500
MP = 4500*(100+x)/100 = 6750
Therefore, 4500+45x = 6750
=> x = 50%

4. The ratio of number of books and number of pens sold by a shopkeeper is 5:3 resp. If the price of 6 pens is Rs.270 and the price of a book is 60% more than the price of a pen. If the total revenue earned by the shopkeeper is Rs.2475 find the number of books sold by shopkeeper.
23
25
24
28
22
Option B
Price of each pen = 270/6 = Rs.45
Price of each book = 45*1.6 = Rs.72
Now, 3x*45 + 5x*72 = 2475
=> x = 5
Number of books sold by the shopkeeper = 5*5 = 25

5. Article X and Y were sold at 10% and 15% discounts resp. Cost price of both articles was same. Find the ratio marked price of the article A and B resp. if profit earned from article A and B was 8% and 40/3% resp.
7:4
3:5
9:10
5:2
9:8
Option C
Let the CP of both the article be Rs.x.
SP of X = 108% of x = Rs.108x
SP of Y = 340/3% of x = Rs.17x/15
MP of X = 1.08x/0.9 = Rs.1.2x
MP of Y = 17x/15/0.85 = Rs.4x/3
Required ratio = 1.2x:4x/3 = 9:10

6. The ratio of the cost price of two articles A and B is 5:4 resp. The shopkeeper sold article A and article B at 20% and 30% profit resp. Find the overall profit percent of the shopkeeper.
29.46%
28.03%
22.22%
24.44%
20.48%
Option D
SP of article A = 1.2*5x = Rs.6x
SP of article B = 1.3*4x = Rs.5.2x
Total Profit = 11.2x â€“ 9x = Rs.2.2x
Required Profit% = (2.2x/9x)*100 = 24.44%

7. A shopkeeper is giving a discount of 20% on the marked price but a customer bargains and the shopkeeper sells him at Rs. 240 less than he was supposed to sell. If the profit of the shopkeeper is decreased from 80% to 50% find the marked price of the item.
1300
1600
1100
1500
1800
Option E
Let the MP be x.
And CP be y. 1.8y = 0.8x —-(1)
And 1.5y = 0.8x â€“ 240 —-(2)
Now, 1.8y = 1.5y + 240
=> y = Rs.800
So, x = (1.8*800)/0.8 = 1800

8. Tim brought a bike and sold it to Harry and earned a profit of 40%. Had he bought it for Rs.1000 less and sold it Rs.5000 less he would have gained 25%. Find the amount spent by Harry to buy the bike.
Rs.35000
Rs.33000
Rs.25000
Rs.20000
Rs.30000
Option A
Let the CP be x.
SP = Rs.1.4x
Now, 1.4x â€“ 5000 = 1.25(x – 1000)
=> x = 25000
Amount spent by Harry to buy the bike = 25000*1.4 = Rs.35000

9. A and B together started a firm with an investment of Rs.30,000 and Rs.50,000 resp. After completion of one year, A increased investment by 20%, while B decreased investment by 14%. If at the end of second year, total profit earned by them was Rs.47700. Find the share of profit of B.
Rs.23200
Rs.27000
Rs.29800
Rs.28800
Rs.27900
Option E
Total investment by A = 30000+1.2*30000 = Rs.66000
Total investment by B = 50000+0.86*50000 = Rs.93000
Ratio of investment = 66000:93000 = 22:31
Profit share of B = 31/53*47700 = Rs.27900

10. Puja marks an article at 30% above its cost price and sells it to Priya at 12% discount. Priya marks it up by 50% and sells it to Gita at a discount of 25%. If selling price by Priya is Rs.1001 more than the selling price by Puja, find the price at which Sita buys the article.
Rs.8100
Rs.9700
Rs.9200
Rs.9000
Rs.9009
Option E
Let the price of the article but by Puja be Rs.x
MP for Puja =x+30% of x = Rs.1.3x
SP for Puja = 1.3x*0.88 = Rs.1.144x
MP for Priya = 1.144x * 1.5 = Rs.1.716x
SP for Priya = 1.716x*0.75 = 1.287x
Now, 1.287x â€“ 1.144x = 1001 => x = Rs.7000
CP for Sita = SP for Priya = 1.287x = 1.287*7000 = Rs.9009