Percentage

Percentage

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Question 1
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
A
Rs. 1425
B
Rs. 1500
C
Rs. 1537.50
D
Rs. 1576
Question 1 Explanation: 
Let the total profit be Rs. 100. After paying to charity, A's share = Rs.95x(3/5)= Rs. 57. If A's share is Rs. 57, total profit = Rs. 100. If A's share Rs. 855, total profit =(100/57)x855= 1500.
Question 2
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
A
Rs. 1900
B
Rs. 2660
C
Rs. 2840
D
Rs. 2800
Question 2 Explanation: 
For managing, A received = 5% of Rs. 7400 = Rs. 370. Balance = Rs. (7400 - 370) = Rs. 7030. Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3) = 39000 : 42000 : 30000 = 13 : 14 : 10 B's share = Rs.7030 x(14/37)= Rs. 2660.
Question 3
A, B and C enter into a partnership in the ratio : : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:?
A
Rs. 2100
B
Rs. 2400
C
Rs. 3600
D
Rs. 4000
Question 3 Explanation: 
Ratio of initial investments =7/2:4/3:6/5= 105 : 40 : 36. Let the initial investments be 105x, 40x and 36x. A : B : C =105x*4 +(150/100)*105x*8: (40x x 12) : (36x x 12) = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = Rs. 21600 x (10/54) = Rs. 4000.
Question 4
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A
Rs. 8400
B
Rs. 11,900
C
Rs. 13,600
D
Rs. 14,700
Question 4 Explanation: 
Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000. So, x + x + 5000 + x + 9000 = 50000 ==> 3x = 36000 ==> x = 12000 A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12. A's share = Rs.(35000 x(21/50))= Rs. 14,700.
Question 5
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A
5 : 7 : 8
B
20 : 49 : 64
C
38 : 28 : 21
D
None of these
Question 5 Explanation: 
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8. Now, 14x/8y =5/7 ==> 98x = 40y ==> y =49/20 x And, 14x/7z =5/8 ==> 112x = 35z ==> z =112/35x = 16/5x. x : y : z = x :(49/20)x:(16/5)x= 20 : 49 : 64.
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