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Capacities of two workers P and Q are in the ratio 3 : 2. What amount of the daily wages of Rs.400 should be given to P?
Question

Capacities of two workers P and Q are in the ratio 3 : 2. What amount of the daily wages of Rs.400 should be given to P?

A.

RS.160

B.

RS.260

C.

Rs.250

D.

Rs.240

Correct option is D

Given:
Ratio of capacities of P and Q = 3:2
Total daily wages = ₹400
Concept Used:
The wages are distributed in proportion to the capacities of the workers.
Formula Used:
If the total wages are to be distributed in the ratio a : b then:
Wages for P=aa+b×Total Wages\text{Wages for P} = \frac{a}{a + b} \times \text{Total Wages}​​
Solution:
The ratio of capacities of P and Q is 3 : 2.
Total parts = 3 + 2 = 5
Wages for P=35×400=12005=240\text{Wages for P} = \frac{3}{5} \times 400 = \frac{1200}{5} = 240​​
Thus, P should be given ₹240 from the daily wages.

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