Question

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A) 10 days B) 14 days C) 11 days D) 9 days

Answer 1

$\sf\large\underline{Let:}$

$\tt{\implies Number\:_{(absent\:day)}=x}$

$\tt{\implies Number\:_{(present\:day)}=30-x}$

$\sf\large\underline{Given:}$

$\tt{\implies Amount\: received\:_{(present\:day)}=Rs.25}$

$\tt{\implies Amount\: fined\:_{(absent\:day)}=Rs.7.50}$

$\tt{\implies Total\: Amount\: received\:by\: labour=Rs.425}$

$\sf\large\underline{To\: Find:}$

$\tt{\implies Number\:_{(absent\:day)}=?}$

$\sf\large\underline{Solution:}$

• Given in the question that,A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all]

$\tt{\implies 25(30-x)-7.50(x)=425}$

$\tt{\implies 750-25x-7.50x=425}$

$\tt{\implies 750-32.5x=425}$

$\tt{\implies 32.5x=750-425}$

$\tt{\implies 32.5x=325}$

$\tt{\implies x=10}$

$\sf\large{Hence,}$

$\bf{\implies Number\:_{(absent\:day)}=10\:days}$

$\tt{\implies Number\:_{(present\:day)}=30-10}$

$\bf{\implies Number\:_{(present\:day)}=20\:days}$

$\rm{\underbrace{Answer-(10\:days)}}$

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \pink{Question:-}}}}}}$

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A) 10 days

B) 14 days

C) 11 days

D) 9 days

______________________

${ \huge{ \bold{ \underline{ \underline{ \green{Answer:-}}}}}}$

$\implies\tt\bold{Let\:No.\:Of\:Absent\:Days=x}$

$\implies\tt\bold{No.\:of\:present\:days=30-x}$

✎Now,

• Amount taken on present day=Rs.25
• Amount Fined on Absent Day = Rs. 7.5
• Total No. of Amount Taken =Rs.425

✎According To Question : -

$\implies\tt\bold{425=25(30-x) -7. 50(x)}$

$\implies\tt\bold{425=750-25x-7.50}$

$\implies\tt\bold{425-750=-25x-7.50}$

$\implies\tt\bold{-325=-32.5}$

$\implies\tt\bold{x=\cancel\dfrac{-325}{-3.25}}$

$\implies\tt\bold{{ \large{ \boxed{ \bold{ \bold{ \orange{x=10}}}}}}}$

✔Therefore , the Value of x is 10 ..

✎Now ,

• Absent Days = 10
• Present Days = 30 - 10 = 20