Mr. Raman hired 100 hundred software engineers and diploma holders to create a great app for his company Paw Perfect. At least half of the engineers were hired on contract, while the other half were hired full-time. Mr. Raman paid five hundred rupees per day to each full-time engineer, four hundred rupees to each contract engineer, and one hundred rupees to the diploma holders. At the end of every evening, the company spent twenty thousand rupees every evening. How many diploma holders were working on Paw Perfect?
Answers
Answer:
Step-by-step explanation:
Ans.74
Solution :-
Let us assume that, Mr. Raman hired x software engineers and y diploma holders .
so,
→ x + y = 100 --------- Eqn.(1)
now, given that, half of the engineers were hired on contract ,
so,
→ Engineers hired on contract = (x/2)
→ Full time engineer = (x/2)
also,
- Full time engineers were paid = Rs.500 each .
- Contract engineers were paid = Rs.400 each .
- Diploma holder paid = Rs.100 each .
- Total payment = Rs.20,000 .
then,
→ 500(x/2) + 400(x/2) + 100y = 20000
→ 250x + 200x + 100y = 20000
→ 450x + 100y = 20000
→ 50(9x + 2y) = 20000
→ 9x + 2y = 400 ------------ Eqn.(2)
Multiply Eqn.(1) by 9 and subtracting Eqn.(2) from result ,
→ 9(x + y) - (9x + 2y) = 9*100 - 400
→ 9x - 9x + 9y - 2y = 900 - 400
→ 7y = 500
→ y = (500/7)
→ y ≈ 72 (Ans.)
Hence, 72 diploma holders were working on Paw Perfect .
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