Question

Ayush bought a bicycle for 6250 and had to sell it for 5875. Find his loss and loss per cent.​

Answer 1

➤ Given :-

Cost price of a bicycle :- ₹6250

Selling price of a bicycle :- ₹5875

$\:$

➤ To Find :-

Loss rupees and loss percentage obrained to Ayush.

$\:$

➤ Formula required :-

Loss :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{CP - SP}}}}$

Loss percentage :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Loss}{CP} \times 100}}}}$

$\:$

★ How to do :-

Here, we are given with the cost price and the selling price of the bicycle. We are asked to find the loss rupees and the loss percentage obtained to Ayush while selling that bicycle. So, first we should find the loss rupees by subtracting the cost price and the selling price i.e, the first formula. Then, we should find the loss percentage by dividing the loss rupees and cost price and then multiply by 100 i.e, the second formula. The obtained answer will be the loss percentage of that bicycle. So, let's solve!!

$\:$

➤ Solution :-

Loss rupees :-

${\tt \leadsto 6250 - 5875}$

${\tt \leadsto Rs \: \: 375}$

$\:$

Now,

Loss percentage :-

${\tt \leadsto \dfrac{375}{6250} \times 100}$

${\tt \leadsto \dfrac{375}{\cancel{6250}} \times {100} = \dfrac{375}{125} \times 2}$

${\tt \leadsto \dfrac{375 \times 2}{125} = \dfrac{750}{125}}$

${\tt \leadsto \cancel \dfrac{750}{125} = \boxed{\tt 6 \bf\%}}$

$\Huge\therefore$ The loss percentage obtaimed to Ayush while selling the bicycle is 6%.

━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}$

Answer 2

Answer:

• Loss= ₹375
• Loss percentage= 6%

Step-by-step explanation:

Question -

Ayush bought a bicycle for 6250 and had to sell it for 5875. Find his loss and loss per cent.

ㅤ

Given-

• Cost price = ₹6250
• Selling Price = ₹5875.

ㅤ

To find -

• Loss
• Loss percentage.

ㅤ

Solution -

➠ㅤLet's first find the loss from the given selling price and cost price.

$\bold\color{red}\boxed{\colorbox{saffron}{Loss=selling\:price-cost\:price}}$

$6250 - 5875 \\ \\ = ₹375$

So, loss = ₹375

ㅤ

➠ㅤLet's now find the loss percentage.

$\bold\orange{loss=\frac{loss}{cost\:price}×100}$

$= \frac{375}{6250} \times 100 = \frac{375}{625} \times 10 \\ \\ = \frac{375 \times 2}{125} \\ \\ = \frac{750}{125} \\ \\ = 6\%$

So, loss%=6%