Question

10. Shikha purchased a wrist watch for Rs 840 and sold it to her friend Vidhi for Rs 910. Find her gain percent
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Answer 1

Answer:

8.33%

Step-by-step explanation:

please marked as brilliant

Answer 2

⇒ Given:

Shikha purchased a wrist watch for Rs.840. [C.P]

She sold it to her friend Vidhi for Rs.910. [S.P]

⇒ To Find:

Her gain percentage.

⇒ Solution:

C.P = Rs.840

S.P = Rs.910

910 > 840

S.P > C.P

As the selling price is greater than the cost price, Shikha has a gain. Now, in order to find the gain amount we need to subtract the cost price from the selling price. The formula is expressed below:

$\sf{\implies\:S.P-C.P=Gain}$

Subtracting:

$\sf{\longrightarrow\:910-840=70}$

The gain amount is Rs.70. Now, we have to find the gain percentage for which we need to use the following formula:

$\sf{\implies\:Gain\%=\dfrac{Gain\:amount}{C.P}\times100}$

Applying the formula here:

$\sf{\longrightarrow\:Gain\%=\dfrac{70}{840}\times100}$

$\sf{\longrightarrow\:Gain\%=\dfrac{70}{84}\times10}$

$\sf{\longrightarrow\:Gain\%=\dfrac{10}{12}\times10}$

$\sf{\longrightarrow\:Gain\%=\dfrac{5}{6}\times10}$

$\sf{\longrightarrow\:Gain\%=\dfrac{5}{3}\times5}$

$\sf{\longrightarrow\:Gain\%=\dfrac{25}{3}}$

$\sf{\longrightarrow\:Gain\%=8.33\%}$

Henceforth, Shikha earned a gain percentage of 8.33%.

BASIC FORMULAE:

$\sf{\star\:S.P-C.P=Gain}$

$\sf{\star\:C.P-S.P=Loss}$

$\sf{\star\:Loss\%=\dfrac{Loss}{C.P}\times100}$

$\sf{\star\:Gain\%=\dfrac{Gain}{C.P}\times100}$