Arithmatical - Partnership
DIRECTIONS : Problems based on Partnership.
16. |
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent? |
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A. Rs.45 |
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B. Rs.50 |
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C. Rs.55 |
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D. Rs.60 |
Solution |
A : B : C | =(10×7):(12×5):(15×3) |
= 70 :60 :45 |
= 14 :12 :9 |
c's rent | =Rs.(175×9/35) |
= Rs.45. |
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17. |
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 |
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A. Rs. 1425 |
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B. Rs. 1500 |
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C. Rs.1537 |
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D. Rs.1576 |
Solution |
Let the total profit be Rs.100 |
After playing to charity, A's share | = Rs. (95 x 3/5) |
If A's share is Rs.57, total profit | = Rs. 100. |
If A's share is 855, total profit | = (100/57 x 855) |
‹=›1500 |
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18. |
Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.16,500 at the end of the year, B's share is |
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A. Rs.4000 |
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B. Rs.6000 |
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C. Rs.7500 |
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D. Rs.6600 |
Solution |
Let C = x. |
Then, B = 4x and 2A = 3x4x = 12x or A = 6x. |
∴ A : B : C = 6x : 4x : x | = 6 : 4 : 1. |
So B's capital | = Rs(16500 x 4 / 11) |
= Rs.6000. |
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