1.

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

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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