Answer

Verified

405k+ views

**Hint:**Try to deduce from the question, which is CP and which is SP. Then, if we have SP more than CP, we get gain. Use the fact that gain is equal to selling price minus cost price, i.e. gain = SP - CP. Now, the gain percentage is the amount of gain per 100 units of CP. Now, using the unitary method, find the gain percentage of the student in this whole transaction.

**Complete step by step answer:**

We have the cost at which the apples were purchased by the boy, CP = Rs. 9.60

The amount for which the apples were sold by the student, SP = Rs. 12

Hence the gain earned by the boy SP - CP = Rs 12 - Rs 9.60 = Rs. 2.40

Hence the gain earned by the boy is equal to Rs.2.40

Gain percentage is defined as the amount of gain earned per 100 units of cost price.

We have, the gain on Rs 9.60 of CP = Rs. 2.40

Hence, using unitary method, we have

The gain on Re. 1 of CP $=\dfrac{2.40}{9.60}=\dfrac{1}{4}$

Hence gain per Rs. 100 of CP $=\dfrac{1}{4}\times 100=25\%$

**Hence the gain percentage of the student = 25%**

**Note:**As an alternative method, we can use the direct formula to compute the gain percentage as $gain\%=\dfrac{gain}{C.P}\times 100$ to get the gain% earned by the student in this transaction. So, first we calculate the gain by substituting the values of SP and CP, then we get Rs. 2.40. Now, we will get gain% as

$gain\%=\dfrac{2.40}{9.60}\times 100=25\%$

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE

What organs are located on the left side of your body class 11 biology CBSE