Question 01
A, B and C together earn Rs. 300 per day, while A and C together earn Rs. 188 and B and C together earn Rs. 152. The daily earning of C is
Given:
A + B + C = 300 ………………………. (i)
A + C = 188
A = 188 – C …………………………….. (ii)
B + C = 152
B = 152 – C ………………………… (iii)
Substituting above values of A and B in eq (i);
188 – C + 152 – C + C = 300
340 – C = 300 C = 340 – 300 = Rs. 40
Question 02
If A can do ¼ of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?
A’s 3 days work = ¼
Thus, A’s 1 day work =1/(3*4) = 1/12
B’s 4 day’s work = 1/6
Thus, B’s 1 day work = ¼ × 1/6 = 1/24
Therefore, they are paid in the ratio 1/12 : 1/24 = 2:1
Therefore, A’s share = 2/(1+2) × 180 = Rs. 120
Question 03
A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for:
Let the required sum be Rs. x
A’s per day wage = Rs. x/21
B’s per day wage = Rs. x/28
(A + B)’s per day wage = Rs. (x/21) + (x/28) = Rs. x/12
Thus, number of days that (A+B)’s wage can be paid with amount x => x / (x/12) => 12 days
(04) If 6 persons working 8 hours a day earn Rs. 8400 per week, then 9 persons working 6 hours a day will earn per week:
6 Person –> 8 Hours –> Rs 8400 per week earning
9 Persons –> 6 Hours –> Find the earings
Let the required amount be Rs. x
Using the formula, we can easily solve this question
On solving the equation we get x==> 9450 Rs