Question

A fruitseller buys mangoes at rupees 350per hndrd and sell them at rupees 48per dozen .find his profit or loss percent

Answer 1

Solutions :-

Given :  A fruitseller buys mangoes at Rs 350 per hundred

100 mangoes = Rs 350

1 mango = 350/100 = Rs 3.5

C.P of 1 mango = Rs 3.5

Now,

[ 1 Dozen = 12 Units ]

Fruitseller sells mangoes at Rs 48 per dozen.

12 mangoes = Rs 48

1 mango = 48/12 = Rs 4

S.P of 1 mango = Rs 4

Compare S.P and C.P :-

S.P > C.P

So, Profit

Profit = S.P - C.P

= Rs ( 4 - 3.5)

= Rs 0.5

Profit % = (profit × 100)/C.P %

= (0.5×100)/3.5 %

= 50/3.5 %

= 14.28 %

Hence,

His profit % is 14.28 %

Answer 2

To find our answer, we would need to simplify the rates i.e. the cost price and the selling price.

Abbreviations used throughout my answer:
1. Cost Price - CP
2. Selling Price - SP
3. Profit - P
4. Loss - L
5. Profit percentage - P %
6. Loss percentage - L %

So now let us begin ;)

Since, the seller buys mangoes at ₹ 350/hundred

CP of 100 mangoes = ₹ 350

Using unitary method we can get the CP for 1 mango,

CP of 1 mango = ₹ 350/100 = ₹ 3.5

Similarly we can easily find the price of each at which the seller sold it.

SP of a dozen mangoes = ₹ 48
SP of 12 mangoes = ₹ 48

SP of 1 mango = ₹ 48/12 = ₹ 4

Now,
CP of 1 mango = ₹ 3.5
SP of 1 mango = ₹ 4

Since,
SP > CP, Profit is incurred.

Profit = SP - CP
P = ₹ 4 - ₹ 3.5
P = ₹ 0.5

Now we can calculate profit percentage,

Profit percentage, P% = ( P / CP ) * 100
P % = ( 0.5 / 3.5 ) * 100
P % = ( 5 / 35 ) * 100
P % = 100/7 %

Now we can convert profit percentage into mixed fraction,

P % = $\bold{14\frac{2}{7}}$ %