Question

madhu purchased a radio set for ruppees 850,them spent for ruppees 250 on its repair and sold it for ruppees 1265.find her gain or lose percentage​

Answer 1

Given :-  

• Madhu purchased a radio set for Rs. 850  
• She spent Rs. 250 on repairs  
• She sold it for Rs. 1265

 

To Find :-  

• Profit or loss percentage  

Solution :-  

~ Here , the cost price ( CP ) is the amount for which she purchased the radio and the selling price ( SP ) is the amount for which it is sold . The amount spent on repairs will be added in the Cost price ( CP ) only because she gave the amount of her own to repair it .  

__________________

Cost Price ( CP )  

= Rs. 850 + 250  

= Rs. 1100  

Selling Price ( SP )  

= Rs. 1265  

We can see that ,  

SP > CP  

__________________

~ Which means it is profit. Now, we can find the profit percentage by applying it’s formula .  

As we know that ,  

$\sf Profit \% = \dfrac{SP-CP}{CP} \times 100 \%$

By putting the values !  

$\sf \implies \dfrac{1265-1100}{1100} \times 100 \%$

$\sf \implies \dfrac{165}{1100} \times 100 \%$

$\sf \implies \dfrac{165}{11} \%$

$\sf \implies 15 \%$  

Therefore ,

Her gain percentage is 15 %  

Answer 2

⠀⠀⠀⠀⠀⠀⠀${\rm{\purple{\underline{\underline{★Required \:Answer★}}}}}$

15 percent

⠀⠀⠀⠀⠀${\rm{\pink{\underline{\underline{★Solution★}}}}}$

${\rm{\red{\underline{\underline{Given : }}}}}$

• Madhu purchased a radio set for ₹850.
• She spender ₹250 on the radio for its repair.
• She sold the radio at the cost of ₹1265.

${\rm{\blue{\underline{\underline{To \: Find: }}}}}$

• The gain or loss percentage

${\rm{\pink{\underline{\underline{Concept \: Used: }}}}}$

For finding the Gain or loss % we have to find that which is greater in C.P & S.P, and if C.P is greater than there is a Loss in the total and if S.P is greater than the C.P then there is a profit of money.

Note :- Any external charge done on the object before selling is also included in the C.P of the object.

${\rm{\purple{\underline{\underline{Formula \: Used: }}}}}$

Loss = C.P - S.P

Loss % = $\rm \: \frac{ Loss}{C.P.} \times 100$

Gain = S.P - C.P

Gain % = $\rm \: \frac{Gain }{C.P.} \times 100$

where,

S.P = selling price of the radio

C.P = cost price of the radio

${\rm{\orange{\underline{\underline{Calculations : }}}}}$

Lets find the total C.P of the radio first :-

C.P = ₹(850 + 250)

C.P = ₹1100

∴ S.P > C.P

↝1265 > 1100

As we can see S.P is greater than the C.P , hence we can say that she has gained some money.

Now,Let's find out the total money gained by her :-

Gain = S.P - C.P

Gain = 1265 - 1100

Gain = ₹165

Therefore, the total gain percentage :-

$\rm \: Gain \%= \frac{Gain}{C.P} \times 100$

substituting the values,

$\longrightarrow \rm Gain \%= \frac{165}{1100} \times 100$

$\longrightarrow \rm Gain\% = \frac{165}{11 \cancel{00}} \times \cancel{100}$

$\longrightarrow \rm Gain\% = \frac{165}{11}$

$\longrightarrow \rm Gain\% = \frac{ \cancel{165}}{\cancel{11}}$

$\longrightarrow \rm Gain\% = 15$

Hence, the gain percentage of radio by selling it in ₹1265 is 15%