Maths is an important subject in CLAT,DULLB & Other Law Exams. In any of law exam, Maths carries weightage of 20 -25 % of questions. With focused practice good marks can be fetched from this section. These questions are very important in achieving your success in CLAT, DULLB and Other Law Exams..
Q1.Raghu bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per dozen. He sold them all to earn % profit. At what price per dozen did he sell the oranges?
Solution
CP
= (4 x 12 + 2 x 16) / (4 + 2) = 80/6
SP
= 1.2CP = 1.2 x 80/6 = 16
Q2. A single discount equivalent to a discount series of 40% and 20% is:
Solution
SP
= (1 - 0.4) (1 - 0.2)CP = 0.6 x 0.8CP = 0.48
CP
= (1 - 0.52) CP
Q3. Rajesh buys an article with 25% discount on its marked price. He makes a profit of 10% by selling it at Rs 660 the marked price is:
Solution
SP
= 660 = 1.1 CP
CP = 600
CP
= (1 - 0.25)MP = 0.75MP
MP
=
Q4.What price should a shopkeeper mark on an article, costing him Rs 153, to gain 20% after allowing a discount of 15%?
Solution
0.85
MP = SP = 1.2CP
MP
=
C P =
x 153 = 216
Q5.If the SP of Rs 24 results in a discount on list price, what SP would result in a 30% discount on list price?
Solution
We
need discount on the current price
Q6. If the cost price of 12 books is same as the selling price of 16 books, the loss percentage is
CP
of 12 books = SP of 16 books
=
CP of 16 books + (P/2) of 16 books
CP
of 4 books = Loss of 16 books
CP
of 1 book = loss of 4 books
Loss
= 1/4 CP = 25% CP
Alternate
Method:
Let
the CP of 1 book = Re 1
CP
of 16 books = Rs 16
SP
of 16 Books = Rs 12
Loss
% = (4/16) x 10 = 25%
Q7. A man loses the selling price of 4 apples on selling 36 apples. His loss percentage is
Solution
Let
SP of 1 apple = x; SP of 36 apples = 36x
Loss
= 4x
CP = 40x
Therefore,
Loss %age = (4/40) x 100 = 40%
Q8.A man sells two cows for Rs. 4000 each, neither gaining nor losing in the deal. If he sold one cow at a gain of 25%, then the other cow is sold at a loss of
Solution
4000
= 1.25 CP1
CP1
= 3200, Profit = 800
CP2
= 4000 + 800 = 4800
Loss
=
= 16.66%
Q9. The cost price of an article is 40% of the selling price. The percentage that the selling price is of cost price is
Solution
CP
= 40% of SP = 0.4 SP
SP1
= 2.5 CP = 250%
Q10. Two horses were sold for Rs.12000 each, one at a loss of 20% and the other at a gain of 20%. The entire transaction resulted in
Solution
1.2
CP = 12000
CP = 10000
P
= 2000
0.8
CP = 12000
CP = 15000
L
= 3000
Loss
= 3000 - 2000 = 1000
Alternate
Method:
Using
direct formula:
Loss
% =
=
(20/10)2
= 4% loss