Question

In a factory ratio of number of 3 categories (A, B
and C) of workers is 10:7:4. If number of workers
in category C is 54 and income of total worker in
category B is Rs. 1400. Find the total income of work-
ers of category A.
एक फैक्टरी में A, B तथा C तीन प्रकार के कर्मचारियों की
संख्याएँ क्रमश: 10:7:4 अनुपात में है। यदि C प्रकार के
कर्मचारियों की संख्या 54 तथा Bप्रकार के सभी कर्मचारियों
का वेतन 1400 रु. हो, A प्रकार के सभी कर्मचारी का
कुल वेतन क्या है?
(a) Rs. 2000
(b) Rs. 2400
(c) Rs. 3600
(d) Rs. 4800​

Answer 1

Answer:

Given ratio of employee = 9 : 13 : 18

Let number of A's emplouees = 9k

Number of B's employees = 13k

and number of C's employees = 18k

According to the question

18k = 54

∴ k = 3

∴ Number of employee of type A = 9 x 3 = 27

Similarly, Wages of every employee of types A = 10/7 x 1400 = ₹ 2000

Hence, the correct option is A :- Rs. 2000.