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By Selling Tie for Rs.648, a Shopkeeper Gains 8%. at What Price Should He Sell the Tie to Gain 10%? - Mathematics

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Question

By selling tie for Rs.648, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?

Sum

Solution

S.P. of a tie = Rs.648

Gain = 8%

`"S.P."/"C.P." = 1 + "Profit"/(100)`

⇒ `(648)/"C.P." = 1 + (8)/(100)`

⇒ `(648)/"C.P." = (100 + 8)/(100)`

⇒ C.P. = `(100)/(108) xx 648`

= Rs.600

Now, C.P. of the tie = Rs.600
Gain = 10%

∴ Gain= `(10)/(100) xx "C.P."`

∴ Gain = `(10)/(100) xx 600`

= Rs.60

∴ S.P.
= Rs.(600 + 60)
= Rs.660
He must sell the tie at Rs.660 to make a gain of 10%.

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To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given
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Chapter 2: Profit , Loss and Discount - Exercise 2.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.2 | Q 4
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