Question

By selling a transistor for ₹572,a shopkeeper earns profit equivalent to 30% of the cost price of the transistor. the cost price of the transistor is​

Answer 1

Answer :-

• The cost price of transistor is Rs. 440.

Step-by-step explanation ::

To Find :-

• The cost price of the transistor

Solution :-

Given that,

• The selling price of transistor = Rs. 572
• Profit = 30%

According the question,

The cost price of transistor is,

As we know that,

Cost price = { 100 } / { ( 100 + gain% ) } × Selling Price

➟ Cost Price = { 100 } / { ( 100 + 30 ) } × 572

➟ Cost Price = { 100 } / { 130 } × 572 .... cancelling zero from both numerator and denominator

➟ Cost Price = { 10 } / { 13 } × 572 .... dividing 572 and 13 with 44

➟ Cost Price = 10 × 44

➟ Cost Price = 440

The cost price of transistor is Rs. 440.

More Information

Some more information related to profit and loss :-

• Gain = Selling Price - Cost Price
• Loss = Cost Price - Selling Price

To find selling price when gain and loss are given :-

• S.P. = { ( 100 + gain% ) } / { 100 } × C.P.
• S.P. = { ( 100 - loss% ) } / { 100 } × C.P.

To Find cost price when gain and loss are given :-

• C.P. = { 100 } / { ( 100 + gain% ) } × S.P.
• C.P. = { 100 } / { ( 100 - loss% ) } × S.P.