Math, asked by sangeetadevi7256, 1 year ago

A rickshaw is sold at a gain of 10 percent. had it been sold for Rs 720 more the profit would have been 16 percent. find its cost price.step by step solve

Answers

Answered by venupillai
1

Answer:

Cost price of rickshaw = Rs.12,000

Step-by-step explanation:

Let CP be the cost price of the rickshaw

Let SP be the selling price of the rickshaw

We are given that:

When selling price = SP, Profit% = 10

=> SP = CP + (10% of CP)

=> SP = CP +  0.1*CP

=> SP = 1.1*CP ..........(Eqn 1)

Also,

When selling price = (SP + 720), Profit% = 16

=> (SP + 720) = CP + (16% of CP)

=> SP + 720 = CP + 0.16*CP

=> SP + 720 = 1.16*CP .......(Eqn 2)

Now, subtracting (Eqn 1) from (Eqn 2), we get:

SP + 720 - SP = 1.16*CP - 1.1*CP

=> 720 = 0.06*CP

=> CP = 720/0.06

=> CP = 12000

Cost price of rickshaw = Rs.12,000

Verify:

CP = 12000

When P% = 10, SP = 1.1*12000 = 13200

If Selling Price is Rs.720 more, SP = 13920

If SP = 13920, Profit = (SP - CP) = 1920

Profit% = 100*(Profit/CP) = 100*(1920/12000) = 192000/12000 = 192/12 = 16

(Verified)

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