CA-203
BUSINESS MATHEMATICS (BBACA) || QUESTION WITH ANSWER
The ratio of prices of two cars was 3 : 4, three years later, when the price of first had risen by 10% and that of the second by ₹ 7,000, the ratio becomes 11 : 15. Find the new prices of the cars.
Answer:
Let
the two cars be C1 and C2.
By question,
C1/C2=3/4
Or, 4C1=3C2......(1)
After 3 years,
(C1+10% of C1)/(C2+7000)=11/15
Or, 15{C1+0.1C1}=11(C2+7000)
Or, 15×(1.1)C1=11C2+77000
Or,
16.5C1-11C2=77000.........(2)
Or, 16.5×(3/4)C2-11C2=77000
Or, 12.375C2-11C2=77000
Or, 1.375C2=77000
Or, C2=77000/1.375=Rs56000
Now, C1=(3C2)/4=(3×56000)/4
=Rs42000
Rs 42000 for 1st car
& Rs 56000 for 2nd car
Rohit purchased 200 toys at ₹ 20 each. He sold all toys at ₹ 30 each. Find out total profit and percentage of profit earned
Answer:
Find
the total cost price:
200 x 20 = Rs 4000
Find
the total selling price:
200 x 30 = Rs 6000
Find
the total profit:
Rs 6000 - Rs 4000 = Rs 2000
Find
the profit percentage:
Profit Percentage = 2000/4000 x 100 = 50%
Answer:
The profit is Rs 2000 and the profit percentage is 50%
A person invested some amount of losses 10% from first year but next year he gains 20% what you had in the end of the first year if the in there is increase of rupees 1440 in his capital at the end of 2 years find its original capital
Answer:
18000
Step-by-step explanation:
Suppose you have 100 rs
at the end of 1st year - loss
= 10%
remaining amount =
100-100*10%
=90
from question,
2nd year he
gains 20% of the remaing amount= 90+90*20%
= 108
from question
profit = 1440rs
hence,
108-100= 1440rs
=> 8= 1440 rs
=> 1 = 180 rs
hence =>
original capital we take = 100
hence original
capital = 100*180=18000 Rs Ans.
A man purchases eggs at ₹ 65 per dozen and sells them at ₹ 7 per egg. Find his gain or loss percent.
Answer:
cost price of 1 dozen (12) egg = ₹65
selling price of 1 egg = ₹7
selling price of 12 egg = 7×12=₹84
since selling price is grater than cost price
therefore there is profit
profit%= S.P.-C.P./C.P. × 100
= 84-65/65×100
=19/65×100
=29.23%
Find the rate of simple interest, if the sum of money triple itself in 14 years.
Answer :
Rate of interest = 16%
Explanation:
Method 1:
Formula: RT= (n-1)*100 where R
represents rate of interest, T represents time period and n represents the
number of times it becomes itself.
Here, T = 14 years and n= 3 (
since it triples itself) [As per the given data}
Substituting all the values in
the formula,
R *14 = (3-1)*100
R*14 = 2*100
R*14 = 200
R = 200/14
R = 16%
Method 2:
Formula : R = (SI *100) / PT (using basic formula of SI, SI = PTR /100
)
Assume, Principal (P) =
100; Time period (T) = 14 years; Simple Interest (SI) =200 (
The sum gets tripled so the value that we assumed 100 becomes 300 which include
principal 100 + interest 200).
Substituting all the values in
the formula we get,
R = (200*100) / 100*14
R = 200/14
R = 16%
The rate of interest at which the money triples
itself is 16%
A Refrigerator set was bought for ₹ 14,000 and sold for ₹ 16,400 through a broker who charges commission 4% on purchase and 5% on sales. Find the total gain or the loss in the transaction.
Answer :
The total gain would be Rs. 1700.
Step-by-step explanation:
Since we have given that
Cost price of refrigerator = Rs. 14000
Selling price of refrigerator Rs. 16400
5% commission on purchased price = 0.05 x
14000 700
So, Total purchased price would be
14000+700 = 14700
So, Sp> Cp, there will be profit.
Profit SP-CP
Profit 16400-14700
Profit=1700
Hence, the total gain would be Rs. 1700
The ratio of salaries of Jagriti and Pravin is 6 : 7 while the ratio of salaries of Pravin and Nilesh 3 : 5. Find the ratio of salaries of A, B and C. If the salary of Nilesh is ₹ 17,500. Find salary of Jagriti.
Answer :
The ratio of salaries of Jagriti and Pravin is 6 : 7
the salary of
Nilesh is ₹ 17,500.
let the salary
of Jagriti = x
ACCORDING TO
THE QUESTION
6 : 7= x/17,500
x=20,416.66
the salary of
Jagriti =20,146
What is transportation problem ? Explain the method to solve by North-West corner method.
Answer :
Steps
in North West Corner Rule
Select the upper left-hand
corner cell of the transportation table and allocate as many units as possible
equal to the minimum between available supply and demand, i.e., min(s1, d1).
Adjust the supply and demand
numbers in the respective rows and columns.
If the demand for the first
cell is satisfied, then move horizontally to the next cell in the second
column.
If the supply for the first row
is exhausted, then move down to the first cell in the second row.
If for any cell, supply equals
demand, then the next allocation can be made in cell either in the next row or
column.
Continue the process until all
supply and demand values are exhausted.
Explain the following terms :
· Simple interest is calculated on the principal,
or original, amount of a loan.
· Compound interest is calculated on the
principal amount and the accumulated interest of previous periods, and thus can
be regarded as “interest on interest.”
· Trade Discount. A trade discount is the
amount by which a manufacturer reduces the retail price of a product when it
sells to a reseller, rather than to the end customer
A dealer purchased two machines for Rs. 22,000. He sold one of them at a gain of 5% and the other at a loss of 5%. He found that he has neither gain nor loss in the total transaction. Find C.P. of the machines.
Answer:
The
cost price of the first machine is rs 10000 and the cost price of the second
machine is rs 12000.
Step-by-step
explanation:
Suppose,
the cost of first machine=x
and
the cost of second machine=22000-x
Selling
price of first machine= x+6%x= 106x/100
Selling
price of second machine= y-5%y= 95(22000-x)/100
Selling
price of both machine= 106x/100+95(22000-x)/100
=
(106x-95x+2090000)/100
=
(11x+2090000)/100
According
to the question, He has neither gain nor loss in total transaction.
It
means
Cost
price of both machine= Sell price of both machine
22000=
(11x+2090000)/100
2200000=
11x+2090000
11x=
2200000-2090000
x=
110000/11
x=
10000
So,
y= 22000-10000
y=
12000
Direct
proportion
Direct
proportion or direct variation is the relation between two
quantities where the ratio of the two is equal to a constant value.
Marked
price.
The
price on the label of an article/product is called the marked price or list price.
This is the price at which product is intended to be sold. However, there can
be some discount given on this price and the actual selling price of the
product may be less than the marked price. It is generally denoted by MP.
What
is Singular Matrix?
A
square matrix (m = n) that is not invertible is called singular or degenerate. A square
matrix is singular if and only if its determinant is 0
The
transpose of a matrix
is found
by interchanging its rows into columns or columns into rows. The transpose of the matrix is denoted by using the letter
“T” in the superscript of the given matrix. For example, if “A” is the given
matrix, then the transpose of the matrix is represented by A' or AT.
What
is concept inverse of a matrix?
Like numbers, matrices do have reciprocals. In case of matrices, this reciprocal is called inverse matrix. If A is a square matrix and B is its inverse, then the product of two matrices is equal to the unit matrix.
Feasible solution
A feasible solution is one that satisfies all defined constraints and requirements. A solution is infeasible when no combination of decision variable values can satisfy the entire set of requirements and constraints.
Scalar matrix
A scalar matrix is a type of diagonal matrix. The diagonal elements of the scalar matrix are equal or same. If the elements of the scalar matrix are all equal to 1, then it becomes an identity matrix. A square matrix A = [aij]n x n, is said to be a scalar matrix if; aij = 0, when i ≠ j.
The difference between the simple and compound interest at 15% p.a. on Rs. 1,000, for 3 years.
Answer:
Compound interest
:
P = rs 1000 , n =3 , R = 5%
A = P (1+R/100)^n
A = 1000(1.05)^3
A = 1000*1.15763 = Rs 1157.63
Compound interest = Rs 157. 63
Simple interest :
I = PNR /100
I = (1000*3*5/100) = Rs 150
Difference = Rs 7.63
A student finishes a book by reading 30 pages per day in 16 days. If he wants to finish the book in 12 days, how many pages should be read every day?
Answer:
Total
pages in the book = 480 pages
Total time is taken by him to finish
reading the same book = 12 days.
then,
Total pages he should read
everyday = Total pages in the book / Total time taken by him to finish reading
the same book
Total pages he should read
everyday = 480/12
Total pages he should read
everyday = 40 pages (Ans.)
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