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
Answer & Explanation
Answer: Option B
Explanation:
Let the total profit be Rs. 100.
After paying to charity, A’s share = Rs. 95 x 3 = Rs. 57.
5
If A’s share is Rs. 57, total profit = Rs. 100.
If A’s share Rs. 855, total profit = 100 x 855 = 1500.
57
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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. 2800 D. Rs. 2840
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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
Answer & Explanation
Answer: Option D
Explanation:
Ratio of initial investments = 7 : 4 : 6 = 105 : 40 : 36.
2 3 5
Let the initial investments be 105x, 40x and 36x.
A : B : C = 105x x 4 + 150 x 105x x 8 : (40x x 12) : (36x x 12)
100
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B’s share = Rs. 21600 x 10 = Rs. 4000.
54
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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
Answer & Explanation
Answer: Option D
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 = Rs. 14,700.
50
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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
Answer & Explanation
Answer: Option B
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 = 5 98x = 40y y = 49 x
8y 7 20
And, 14x = 5 112x = 35z z = 112 x = 16 x.
7z 8 35 5
x : y : z = x : 49 x : 16 x = 20 : 49 : 64.
20 5