Question

Aditya sells his two cycles at the rate of Rs. 5 hundreds each. On one cycles he gains 6% while on other cycles he incurs a loss of 6%. Find his total loss/gain in whole transaction​

Answer 1

Answer:

• His total loss in whole transaction = Rs 4

Step-by-step explanation:

Given that:

• Aditya sells his two cycles at the rate of Rs. 500 each.

To Find:

• His total loss/gain in whole transaction.

Formula used:

• CP = (SP × 100)/(100 + Gain%)
• CP = (SP × 100)/(100 - Loss%)

First finding the CP at gain of 6%:

→ CP = (SP × 100)/(100 + Gain%)

→ CP = Rs. (500 × 100)/(100 + 6)

→ CP = Rs. 50000/106

→ CP = Rs. 472 (approx.)

Now finding the CP at loss of 6%:

→ CP = (SP × 100)/(100 - loss%)

→ CP = Rs. (500 × 100)/(100 - 6)

→ CP = Rs. 50000/94

→ CP = Rs. 532 (approx.)

• Total selling price = Rs (500 + 500)
• Total selling price = Rs 1000

• Total cost price = Rs (472 + 532)
• Total cost price = Rs 1004

Here, Cost price is greater than the selling price.

So, Loss.

• Loss = CP - SP
• Loss = Rs (1004 - 1000)
• Loss = Rs 4

Answer 2

Given :-

Aditya sells his two cycles at the rate of Rs. 5 hundreds each. On one cycles he gains 6% while on other cycles he incurs a loss of 6%. Find his total loss/gain in whole transaction​

Solution :-

CP = (SP × 100)/(100 + Gain%)

CP = (SP × 100)/(100 - Loss%)

Now

CP = (500 × 100)/(100 + 6) = 50000/106 = 472

Now

CP = (500 × 100)/(100 - 6) = 50000/94 = 532

Now

Total SP = 2(500)

Because since they have sell at same rupees

SP = 1000

Total CP = Rs (472 + 532)

Total CP = Rs 1004

Now

Loss = 1004 - 1000 = 4