Question

A man sold two cycles for 3000 Rupees each, gaining 20% on the other. Find his gain or loss percentage on the whole transaction ?​

Answer 1

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QUESTION :-

A man sold two cycles for 3000 Rupees each, gaining 20% on the other. Find his gain or loss percentage on the whole transaction ?

GIVEN :-

• SP = 3000 RS
• Gain ℅ on 1st cycle = 20℅
• Loss℅ on 2nd cycle = 20℅

SOLUTION :-

For first cycle

=> If CP is 100rs, then profit is 20 rs and SP = 100 + 20 = 120 rs.

=> Thus, if SP is 120 rs then CP is 100 rs

=> Now, if SP is 1 then CP is = $\Large\frac{100}{120}$

=> Now, if SP is 3000rs then CP = $\Large\frac{100}{120}×$3000 = 2500rs

For second cycle

=> If CP is 100rs then the loss is 20 and the SP is 100 - 20 = 80rs

=> Thus, if SP is 80rs then CP is = 100rs

=> Now, if SP is Rs. 1 then CP is = $\Large\frac{100}{80}$

=> Now, if SP is 3000rs then CP is = $\Large\frac{100}{80}×$ 3000= 3750 rs

Total CP = 2500 + 3750 = 6250 rs

Total SP = 3000 + 3000 = 6000 rs

Since SP is less than CP,

loss = 6250 - 6000 = 250 rs

Loss℅ = $\Large\frac{loss}{CP}×$100

=> $\Large\frac{250}{6250}×$100

=> $\Large{4℅}$

Answer 2

Answer:

Gain = Rs.600

selling price with 20% gain = Rs.3600

loss = Rs.720

selling price with 20% loss = Rs.2880

cost price > selling price

loss = cost price - selling price

       = Rs.3000 - Rs.2880

       = Rs.120

loss% = 120/3000*100

          = 4%

he sold sold his cycle with 4% loss.