Question

By selling a belt for 196, a shopkeeper gains 24. Find his gain per cent. (a) 12% (b) 50% (c) 24% (d) 33(1/3)%​

Answer 1

Solution :

Let us assume that the cost price of the belt is Rs. x .

The selling price of the belt is Rs. 196 .

The profit gained by the shopkeeper is Rs. 24

Now , we know that :

Cost price ± [ Profit / loss ] = Selling Price

=> Cost Price + 24 = 196

=> Cost Price = 196 - 24

=> Rs. 172

Now, gain percentage :

=> [ Gain / Cost Price ] × 100%

=> [ 24/172 ] × 100%

=> [ 6/ 43 ] × 100%

=> [ 600/43 ] %

≈ 12% .

Hence , the required answer becomes option A .

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Answer 2

Answer:

Given :-

• Selling price of a belt is Rs 196, a shopkeeper gains Rs 24.

To Find :-

• What is the gain percentage.

Formula Used :-

$\boxed{\bold{\small{Cost\: Price\: =\: Selling\: price\: -\: profit}}}$

$\boxed{\bold{\small{Gain\% =\: \dfrac{Gain \times 100}{C.P}}}}$

Solution :-

Let, the C.P be x

Given :

• S.P = Rs 196
• Profit = Rs 24

According to the question by using the formula we get,

⇒ C.P = 196 - 24

➠ C.P = Rs 172

Now, we have to find the gain percentage,

➟ Gain% = $\dfrac{24 \times 100}{172}$

➟ Gain% = $\dfrac{2400}{172}$

➥ Gain% = 13.95% ≈ 12%

$\therefore$ The gain percentage is 12% . Correct options is option no (a) $\checkmark$