# Mixed Quantitative Aptitude Questions Set 174

1. Lalith calculates his profit percentage on selling the price whereas Rohan calculates his profit on cost price.They find the difference of their profit is Rs. 275.If the selling price for both of them is same and lalith gets 25% profit and Rohan gets 15% profit , then find their selling price?
Rs. 2350
Rs.2300
Rs.2100
Rs.2250
Rs.2400
Option B
Let the selling price be = Rs.x
CP of Lalith = (100-25)/ 100 *x= 3x/4
CP of rohan= 100x/ (100+15) = 20x/23
Difference = 20x/23 – 3x/4= 275
=> x= Rs.2300

2. A vendor purshased basket at the rate of Rs.400 from the whole sale dealer .He marked up the price by 30% and allowed a discount of 8% on each set.Then find the profit percentage?
12%
11%
18%
19.6%
15%
Option
CP= Rs.400
MP=400*130/100= Rs.520
SP= 520 *92/100 = Rs.478.4
P%= 478.4-400/400 * 100 =19.6%

3. Find the successive discount of 20%, 30% and 40% is?
68.8%
66.4%
64.4%
64.6%
62.4%
Option B
Let CP= Rs.100
So SP = 100 * 80/100 * 70/100 * 60/100
SP=33.6
Hence discount= 100- 33.6=66.4

4. What is the speed of the train?
I. Length of the platform is 20% of the length of the train.
II. The train crosses the platform in 49seconds.
III. The train crosses the signal pole in 12seconds.
All I, II & III
I and Either II or III
Only II & III
Any two of the three
Question cannot be answered even with the information in all three statements.
Option E
Length of platform or train is not given.
So, we can’t answer the question with the information given.

5. What is the volume of the cylindrical tub?
I. Area of the base is 100 square metres.
II. Height of the tank is 5 metres.
III. Diameter of the base is equal to height of the tank.
Only I & II
Only II & III
Only I & III
All I, II & III
Either I and II or III
Option E
To get volume of cylinder, we need height and radius.
So, from statement I and II or statement III volume of cylinder can be calculated.

6. Visma invested some amount at the rate of 6% p.a. and at the end of 3 years he got Rs.3 6000 simple interest. How much compound interest he will get on same amount and same rate of interest after 2 years.

Rs.25000
Rs.23,900
Rs,24000
Rs.24,720
Rs.10000
Option D
P= 36000 *100/ 3*6 =Rs.2,00,000
CI for first year = 2,00,000 * 6/100 = 12,000
CI for second year=12,000 + 12,000 *6/100 = 12,000 +720 =12,720
Total CI = 12,000 + 12,720 =24,720

7. The difference between compound interest and simple interest at the same rate Rs. 10000 for 4 years is Rs. 144. The rate of interest per annum is
12%
11%
13%
14%
15%
Option A
CI-SI= P( r/100 ) ^2
144= 10,000 ( r/100)^2
144/10,000 = (r/100) ^2
r= 12%

8. In a group of goats and hens, the number of legs are 24 more than twice the number of heads. What is the number of goats in the group?
10
11
12
13
14
Option C
let the number of goats = x
Number of hens = y.
legs = 4x+2y
S04x+2y-2x-2y= 24
=>x= 12

9. If a and b are positive integers, such that a^b = 64, then (a – b)^a+b–2 = ?

1
2
3
0
4
Option A
a^b= 64= 4^3
=>a= 4 and b=3
So (a – b)^a+b–2= 1 ^ 5=1

10. A man bought one bed & one cot at Rs. 2500. He sold bed at 20% profit and cot at 30%. Find the C.P. of cot if selling price of both was same?
Rs.1800
Rs.1900
Rs.1000
Rs.1100
Rs.1200
Option E
Let the CP of bed= Rs.x
CP of cot = 2500 -x
x*120/100 =(2500 -x)130/100
=>x=1300
CP of cot = 2500-1300 =Rs.1200