the cost price of a shirt and a pair of trousers is RS 371. if the shirt cost is 12% more than trouser,find the cost price of trouser
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Given that S + T = 371 .......(1)
Shirt cost is 12% more than Trouser.
If Trouser price is 100, then shirt price is 112
Therefore, let trouser price = 'x' then shirt price = 1.12*x
from equation-1 : x + 1.12*x = 371
2.12*x = 371 ; x = 175
Trouser Price = 175, Shirt Price = 196
Shirt cost is 12% more than Trouser.
If Trouser price is 100, then shirt price is 112
Therefore, let trouser price = 'x' then shirt price = 1.12*x
from equation-1 : x + 1.12*x = 371
2.12*x = 371 ; x = 175
Trouser Price = 175, Shirt Price = 196
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Answer:
The cost price of the trouser is 175 rupees
Step-by-step explanation:
Let the cost of a shirt be CS
Let the cost of a pair of trousers be CT
Given that the cost price of a shirt and trousers is 371
Therefore CS + CT = 371
If the cost of a shirt is 12% more than the cost of trouser then cost of shirt becomes
CS = 12%(CT) + CT
CS = 0.12 CT +CT
CS = 1.12 CT
put CS = 1.12 CT in the first equation , we get
1.12 CT + CT = 371
2.12 CT = 371
CT = 175
Therefore cost price of trouser is 175 rupees
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