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A Manufacturer Makes 800 Straws at a Cost of 50 Paise per Straw. He Fixes the Selling Price Such that If Only 640 Straws Are Sold, He Would Make a Profit of 50% on His Outlay. Find His Actual Profit - Mathematics

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प्रश्न

A manufacturer makes 800 straws at a cost of 50 paise per straw. He fixes the selling price such that if only 640 straws are sold, he would make a profit of 50% on his outlay. Find his actual profit or loss percent, if he sells 720 straws.

योग
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उत्तर

C.P. of 800 straw at the rate of 50 paise per straw
= Rs. `(50/100 xx 800)`
= Rs.400
Since profit is 50% of his outlay when only 640 articles are sold,
∴ S.P. of 640 straws
= `(1 + 50/100)` of Rs. 400

= `(150/100)` x Rs.400
= Rs.600
∴ S.P. of each article
= Rs. `(600)/(640)`
= Rs.`(15)/(16)`
∴ S.P. of 720 straws
= Rs. `(720 xx 15/16)`
= Rs.675
∴ Actual profit
= Rs.675 - Rs.400
= Rs.275
∴ Actual profit %
= `("Profit"/"C.P."  xx 100)%`

= `(275/400 xx 100)%`
= 68.75%.

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अध्याय 2: Profit , Loss and Discount - Exercise 2.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 2 Profit , Loss and Discount
Exercise 2.1 | Q 11

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