# Quantitative Aptitude: Profit and Loss Set 21

1. The ratio selling prices of three materials P,Q and R is 19:25:27., the ratio of percentage profit is 7:10:4, respectively. If the cost price of material P and Q is 400 and 500 respectively. Then what is the total selling price of all three materials?
Rs 1704
Rs 1802
Rs 1500
Rs 1650
None of these
Option A
400*(1+7a/100)/ 500*(1+10a/100) = 19/25
a = 2
Profit percentages = 14%, 20% and 8%
19*b = 400*114/100
b = 24
Total SP = (19+25+27)*24 = 1704

2. Rishi sells two varieties of wheat P and Q. He mixes 12 Kg of P with 16 kg of Q, and by selling this mixture at price of Q wheat he gets 20% profit. If the price of P variety wheat is Rs.66/Kg, then what is the price of Q variety /Kg?
Rs 140
Rs 108
Rs 95
Rs 100
None of these
Option B
120/100*(12*66+16Q) = 28*Q
Q = 108

3. The ratio selling prices of three articles P,Q and R is 29:27:32., the ratio of percentage profit is 4:2:5, respectively. If the cost price of article P is equal to Q and the cost price of article R is Rs. 480. Then what is the overall gain?
20%
10%
15%
18%
None of these
Option C
29a/27a = (100+4b/100+2b)
b = 4
32a = 480(120/100)
a =18
SP’s are 522,486,576
CP of A=29*18 = CP (116/100)
CP =450
CP’s are 450,450 and 480
Overall gain =1584 =1380(100+gain/100)
gain =15%

4. Akansha sold a repair freeze to Banya at a profit of 30% and Banya sold it to Caryl at a profit of 20%. Caryl sold it to Diksha at a loss of 23.07%. Diksha repaired the freeze by spending 5% of his purchasing price and then sold it again to Akansha at a profit of 3.17%.Then what is the loss of Akansha?
7%
9%
10%
No profit No loss
None of these
Option D
Let CP = 100
SP= 130
Banya = 156
Caryl = 120
Diksha = 126+3.17% = 130
Akansha = 130-130 = 0

5. A shopkeeper bought 2750 Guava and 1210 Orange at the same price. He sells in such a way that he can buy 406 Guava with the sale of 322 Guava and he can buy only 289 Orange with the sale of 391 Orange. Then what is the overall profit percentage made by him?
0%
1%
2%
4%
None of these
Option A

6. A person mixes 10% water in his solution but he is not satisfied with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of person if he sells it at cost price?
25%
21%
15%
20%
None of these
Option B
Let Initial quantity= 100 litre
After mixing 10% water, Quantity of mixture =110 * 110 / 100 =121 litre
CP of 1 litre of Solution = Rs.1
Total CP = Rs.100
Total SP = Rs.121
Profit = 121 – 100 = 21%

7. A person bought chocolates at 27 for a rupee. How much must be sold for a rupee so as to gain 50%?
Rs 10
Rs 14
Rs 18
Rs 15
None of these
Option C

8. By selling 8 materials, a shopkeeper makes a loss equal to the cost price of 4 materials. Find loss%?
50%
40%
45%
55%
None of these
Option A
C.P of 8 materials – S.P of 8 materials= C.P of 4 materials
C.P of 4 materials = S.P of 8 materials
Profit% = (8 – 4)/8 * 100 = 50%

9. Ramesh marks his goods at Rs 2,000. Now after allowing a discount of 25%, he gains 50%. Find the cost price of the article?
Rs 1000
Rs 1200
Rs 1500
Rs 1800
Rs 2500
Option A

10. Akansha bought an watch at 20% discount on its original price. She sold it with 40% increase on the price she bought it. The new sale price is by what percent more than the original price?
9%
12%
10%
15%
None of these
Option B
40 + (-20) + (40)(-20)/100 =12%