Question

Ram bought a pair of boxes and sold it to
Neena making a loss of 20%. Neena sold
it to for Rs. 180 & made a profit of 50%.
What was the original price of the boxes
at which Ram bought them?​

Answer 1

Answer:

The initial price is Rs. 150.

Step-by-step explanation:

Given :

Ram sold the boxes at = 20%

Neena sold it at = Rs. 180

Profit made = 50%

To find :

Orignal Price of boxes

Solution :

Neena's Cost Price = Ram's Selling Price

★ Cost Price of the boxes for Neena -

${\boxed{\sf\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\sf{\longrightarrow} \: CP = \dfrac{100}{(100 + 50)} \times 180$

$\sf{\longrightarrow} \: CP = \dfrac{100}{150} \times 180$

$\sf{\longrightarrow} \: CP = \dfrac{10}{15} \times 180$

$\sf{\longrightarrow} \: CP = \dfrac{10}{5} \times 60$

$\sf{\longrightarrow} \: CP = 2 \times 60$

$\sf{\longrightarrow} \: CP = 120$

Cost Price = Rs. 120

Selling Price at Ram sold the boxes = Rs. 120

$\rule{300}{1.5}$

★ Cost Price of boxes for Ram -

${\boxed{\sf\:{CP = \frac{100}{(100 - Loss\%)} \times SP}}}$

$\sf{\longrightarrow} \: CP = \dfrac{100}{100 - 20} \times 120$

$\sf{\longrightarrow} \: CP = \dfrac{100}{80} \times 120$

$\sf{\longrightarrow} \: CP = \dfrac{100}{2} \times 3$

$\sf{\longrightarrow} \: CP = 50 \times 3$

$\sf{\longrightarrow} \: CP = 150$

Cost Price = Rs. 150

Therefore, the initial price is Rs. 150.

Answer 2

Answer:

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

$Loss\:happen\:to\:Ram\:by\:selling\:pair\:of\:boxes\:to\:Neena=20%$

$Amount\:of\:Money\:Nenna\:sold\:the\:pair\:of\:boxes=Rs.180$

$Profit\:gain\:by\:Neena=50%$

$\underline{\orange{To\:find:}}$

$The\:original\:price\:of\:the\:pair\:of\:boxes=??$

$\underline{\blue{Concept:}}$

• First find in how much does the Ram sold the pair of boxes to Neena .

• Then , find in how does Ram got these pair of boxes .

$\underline{\purple{Taken}}$

$Let\:the\:original\:amount\:be\:Rs .100$

$\underline{\pink{Formulas:}}$

1. How much money does he sold if he gain profit :

$Rs.100+\frac{Total\:profit}{100}=Total\:amount$

2. How much money does he sold if he has loss :

$Rs.100-\frac{Total\:loss}{100}=Total\:amount$

$\underline{\green{Solution:}}$

1 st part :

$According\:to\:formulas$

$Rs.100+\frac{50}{100}=Rs.180$

$\frac{Rs.100+50}{100}=Rs.180$

$\frac{Rs.150}{100}=Rs.180$

$Rs.180÷\frac{Rs.150}{100}$

$Rs.180×\frac{100}{Rs.150}$

$Then\:Rs.120\:Ram\:has\:sold\:the\:pair\:of\:boxes.$

2 nd part to find the original price :

$Rs.100-\frac{20}{100}=Rs.120$

$\frac{Rs.100-20}{100}=Rs.120$

$\frac{Rs.80}{100}=Rs.120$

$Rs.120÷\frac{Rs.80}{100}$

$Rs.120×\frac{100}{Rs.80}$

$So,Rs.150\:is\:the\:original\:price.$

$\underline{Conclusion:}$

So , the original price of the pair of boxes is ₹150 .

HOPE IT HELPS YOU