हिंदी
सी.आई.एस.सी.ई.आईसीएसई ICSE Class 8

A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ; (i) its cost price; (ii) the profit percent.

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प्रश्न

A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ;
(i) its cost price;
(ii) the profit percent.

योग
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उत्तर

(i) Let C.P. of the radio-set = Rs.x

Gain = Rs.`"x"/9`

S.P. = Rs.`("x"+"x"/9)=((9"x"+"x")/9)"Rs." = "Rs."(10"x")/9`

But, we are given S.P. of the radio-set = Rs.250

`∴(10"x")/9=250`

`⇒"x"=250xx9/10⇒"x"=25xx9⇒"x"=225`

∴ C.P. of the radio set = Rs.225

 

(ii) Profit = Rs.`"x"/9`

= Rs.`225/9` ......(Substituting the value of x)

= Rs.25

Profit% =`"Profit"/"C.P."xx100`

`=25/225xx100=(25xx100)/225=100/9%`

`=11 1/9%`

shaalaa.com
To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Profit, Loss and Discount - Exercise 8 (A) [पृष्ठ ९०]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 8 Profit, Loss and Discount
Exercise 8 (A) | Q 15 | पृष्ठ ९०

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