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When A and B work together they take 20 days to complete the piece of work. When A works alone he takes 28 days. B gets a share of Rs. 600 when they work together. What is the total amount they receive?1). Rs. 1,5002). Rs. 1,6003). Rs. 1,8004). Rs. 2,100 |
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Answer» A’s one day’s WORK $(= \frac{1}{{28}})$ A and B’s one day’s work $(= \frac{1}{{20}})$ B’s one day’s work $(= \frac{1}{{20}} - \frac{1}{{28}} = \frac{1}{{70}})$ (A’s one day’s work) ? (B’s one day’s work) $(= \frac{1}{{28}}:\frac{1}{{70}} = 5:2)$ B’s share is Rs. 600 Let 5x, 2x be A and B’s share. ∴ 2x = 600 ∴ x = 300 A’s share = 5x = Rs. 1,500 Total share = 1500 + 600 = Rs. 2,100 |
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