A man loss 20% of his money.he spent 25% of the rest and has left Rs528 with him. How much money he had in the be beginning
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let the total money he had in the beginning
be ' Rs x '
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Step 1 since,he faced loss of 20% of his money ,then find loss :
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loss = 20% of x =0.2 x
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Step2 Find money that rest after the loss of 20 % :
_______________________________
= money that he had in the beginning - loss
= x - 0.2 x = x (1 - 0.2 ) = 0.8 x
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step3 Find the money that he spended or the money that left with him :
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money he spended = 25% of the rest money.
= 25 % of 0.8 x = 0.25 × 0.8 x = 0.2 x
now,money left with him
=rest money - spended money
= 0.8 x - 0.2 x = 0.6 x
according to question :
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money left with him = Rs 528
0.6 x = 528
x = 528 / 0.6 = Rs 880
therefore,
he had Rs 880 in the beginning .
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Your Answer : Rs 880
_______________________________
be ' Rs x '
_______________________________
Step 1 since,he faced loss of 20% of his money ,then find loss :
_______________________________
loss = 20% of x =0.2 x
_______________________________
Step2 Find money that rest after the loss of 20 % :
_______________________________
= money that he had in the beginning - loss
= x - 0.2 x = x (1 - 0.2 ) = 0.8 x
_______________________________
step3 Find the money that he spended or the money that left with him :
_______________________________
money he spended = 25% of the rest money.
= 25 % of 0.8 x = 0.25 × 0.8 x = 0.2 x
now,money left with him
=rest money - spended money
= 0.8 x - 0.2 x = 0.6 x
according to question :
_______________________________
money left with him = Rs 528
0.6 x = 528
x = 528 / 0.6 = Rs 880
therefore,
he had Rs 880 in the beginning .
_______________________________
Your Answer : Rs 880
_______________________________
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