1.A bookseller sells a particular novel at 10% discount on the labelled price. Also he is so
generous that he gives a free book for every 15 books for wholesale buyers. In this
transaction his gain is 35%. Then find the ratio of Ratio of Labelled Price to the actual CP.
Answer :
Lets assume the CP of each book be 100. Hence CP of 16 books would be 1600.
SP of 15 books = 1600 + (1600 * 35/100) = 2160.
SP of each book would be 2160/15 = 144.
If SP of each book is 90, labelled price would be 100 (since he gives at a 10% discount).
Hence if SP is 144 marked price would be 144*(100/90) = 160.
Ratio of Labelled Price to the actual CP = 160/100 = 8/5.
2.If a pen is being sold at 4% profit instead of 4% loss the actual profit is Rs 16. What is the
actual cost price of the pen?
Answer :
Let x be the CP.
(104/100)x - (96/100)x = 16
Solving we get x = Rs.200.
3.A cake seller sells one cake at a profit of 10% and sells another at a loss of 5%. Let the
ratio of the CPs of the cakes is 2:3 respectively. Find his net profit or loss percentage.
Answer :
Let the CPs of the cakes be 2x and 3x (so that they are in the ration 2:3 as per the
question.)
Hence net CP = 5x.
SP of first cake = (110/100)*2x = 220x/100
SP of second cake = (95/100)*3x = 285x/100
Net SP = (220x/100) + (285x/100) = 505x/100 = 5.05x.
SP is greater than CP and his profit is 5.05x - 5x = .05x.
His profit percentage = (.05x/5x)% = .01%.
4) A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75
minutes to row to a place and back. How far is the place?
(i) 3km
(ii) 2.5 km
(iii) 4 km
(iv) 5 km
Answer: 3 Km
Solution:
Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the
required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km
5) 729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be
added to get a new mixture containing half milk and half water?
(i) 79 ml
(ii) 81 ml
(iii) 72 ml
(iv) 91 ml
Answer: 81 ml
Solution:
Milk = (729 * (7/9))=567ml
Water = (729-567)= 162ml
Let water to be added be x ml 567/(162+x) = 7/3 1701 = 1134 + 7x x = 81ml
6) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319?
(i)0.3396
(ii)0.3369
(iii)0.3368
(iv)0.3338
Answer: 0.3396
Solution:
log 0.317=0.3332 and log 0.318=0.3364, then log
0.319=log0.318+(log(0.318-0.317)) = 0.3396
7) A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is
264kg. How many 2kg packets are there?
(i)36
(ii)114
(iii)120
(iv)50
Answer: 114
Solution:
x= 2 kg Packs
y= 1 kg packs
x + y = 150 ----------------(1)
2x + y = 264 ---------------(2)
Solve the Simultaneous equation; x = 114,y=36
ANS : Number of 2 kg Packs = 114.
8) In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is
the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Answer
There are total 450 rooms.
Out of which 299 room number starts with either 1, 2 or 3. (as room number 100
is not there) Now out of those 299 rooms only 90 room numbers end with 4, 5 or
6.So the probability is 90/450 i.e. 1/5 or 0.20.
9) What is the four-digit number in which the first digit is 1/3 of the second, the third is the
sum of the first and second, and the last is three times the second?
Answer
The 4 digit number is 1349.
10) Difference between Bholu's and Molu's age is 2 years and the difference between
Molu's and Kolu's age is 5 years. What is the maximum possible value of the sum of the
difference in their ages, taken two at a time?
Answer
The maximum possible value of the sum of the difference in their ages -
taken two at a time - is 14 years.
11) A 3 digit number is such that it's unit digit is equal to the product of the other two
digits which are prime. Also, the difference between it's reverse and itself is
396.What is the sum of the three digits?
Answer
The required number is 236 and the sum is 11.
12) Pepsi, Fanta, Cola order either coffee or tea after dinner. a)If pepsi orders coffee, Fanta
orders the drink that is ordered by cola. b)If fanta orders coffee, pepsi do not order the
drink that is ordered by cola. c)If cola orders tea, pepsi orders the same drink ordered by fanta. Who take the same drink every day?
Ans:Pepsi.
13) Boat A leaves shore P and Boat B leaves shore Q.(P and Q are opposite shores of a
river.) A and B travel at constant speed. But the speeds are not same. Both boats meet at
600m from P for the first time. In their return journeys (i.e. after touching the shores), they
meet again at 200m from Q. Find distance between P and Q.
Ans: 1600m
14) There are two glasses A and B. A contains orange juice and B contains apple juice in
same quantity. Some amount orange juice from glass A is transferred to glass B. The juice
in glass B is mixed well. Then again the same amount of juice from B is transferred to A.
Compare the quantities of apple juice in A and orange juice in B.
Ans: Equal.
15) 100 Kg. Potatoes with 98% water content are dried in an oven. The percentage of water
decreases to 50 %. What is the weight of potatoes now?
Ans: 4Kg.
16) A 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board.
The carpenter uses nails all along the edges of the square such that there are 32 nails on
each side of the square. Each nail is at the same distance from the neighbouring nails.
How many nails does the carpenter use?
Solution: 32*2 + 30*2=124
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