Question

A labourer was engaged for 32 days on the condition that he would get rupees 30 for the working day and he would be fine rupees 10 for absent at the end he got rupees 560 for how many days he was absent ?

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Answer 1

Step-by-step explanation:

32×30=income he should get

=960

he gets 560

when he is on leave he does not get 30 and infact have to give 10

mean he has loss of 40 per day

960/40

=14

he was absent for 14 days

Answer 2

$\boxed{\boxed{\mathtt{ANSWER = 10\:Days}}}$

$\bold{\underline{\underline{Step-by-step\:explanation:}}}$

$\implies$Let the number of days he absented = x

$\therefore$ The number of days he worked = 32 – x

$\therefore$The payment for (32–x) days = 30(32–x) = 960–30x

$\implies$The fine of x days = Rs 10x

$\therefore$ (960–30x)–10x = 560

$\implies$960–40x = 50

$\implies$ or, –40x = 560–960

$\implies$ –40x = –400

$\implies$ x = $\sf\cancel\dfrac{-400}{-40}$

$\implies$ x = 10 days.