SGBAU B. Com Part 2 Question Paper 2019 of Business Mathematics Fully Solved here Section C
SECTION 'C'
1. Find out the LCM and HCF of 144, 216, 288.
Solution :
144 = 72*2
=36*2*2
=6*6*2*2
=2*3*2*3*2*2
216=108*2
=2*2*54
=2*2*2*27
=2*2*2*9*3
=2*2*2*3*3*3
268=134*2
=67*2*2
HCF = 2*2=4
LCM =2*2*3*3*2*2*3*67=28944
2. A publisher sells 80 books of business mathematics for Rs. 6144. If the list price of the books be Rs 96 . Calculate the rate of trade discount.
Solution:
80 books for Rs 6144.
list price Rs. 96
Selling Price= 6144
Discount = List price - selling price
= 7680-6144
=1536
Calculation of Rate of Discount= 1536/7680*100=20%
therefore, the rate of trade discount will be 20%
3. A purchase an article for Rs. 1050 and sold it for 1197. B also purchased similar article for Rs.960 and sold it for Rs. 1104. Find who had a better profit percdentage.
solution :
Profit of A = SP-CP
=1197-1050=147
Profit of B=1104-960 = 144
A. CP=1050
Profit= 147
suppose profit on 100 is x.
=profit/cp*100
=147/1050*100 = 14%
B. CP=1104
profit= 960/1104*100
= 15%
therefore B has better profit percentage.
4. The amount with simple interest Rs. 4000 at a certain rate of interest is Rs 5000 in 5 years. Find out the rate of interest per annum.
solution : P=4000, A=5000, N=5 ,
SI= A - P =5000-4000= 1000
SI =P*N*R/100
1000= 4000*5*R/100
R= 5%
5. 12 men and 20 women working 10 hours a day can finish a piece of work in 35 days. In how many days 12 men and 20 women can do the same work by working 7 hours a day ?
solution:
later no of days /initial no of days = initial no of hours/ later no of hours
x/35=10/7
7x=350
x=350/7
x= 50
So in 50 days 12 men and 20 women can do the same work by working 7 hours a day.
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