Question

9. A farmer sold two bullocks for 18000 each. On one bullock he gained 20% and on the other he
lost 20%. Find his total loss or gain per cent.​

Answer 1

Answer:

1st bullock

Selling Price = Rs. 18,000

Gain % = 20 %

using formula

Cost = (Selling price × 100) ÷ (100+Gain%)

        = (18000 × 100) ÷ (120)

        = 1,800,000÷120

        = 15,000

2nd Bullock

Selling price = Rs. 18000

Loss % = 20%

using formula

Cost price = (Selling price × 100) ÷ (100 - loss%)

                  = (18000 × 100) ÷ (100-20)

                  =1800000 ÷ 80

                  =22500

Total Selling price

1st bullock's Selling Price + 2nd bullock's Selling Price

18000 + 18000

36000

Total Cost price

1st bullock's Cost price + 2nd bullock's cost price

15000+22500

37500

Since Cost price is more than Selling price, it is a loss

Loss = 37500-36000

        =1500

Ans: 1500 loss

hope it helps :)

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Answer 2

Given :

• Selling Price = Rs. 18000
• Gained = 20%
• Loss = 20%

To find :

• total loss or gain percent

Solution :

Cost Price of 1st bullock = $\sf \dfrac{100}{100 + Profit \% } \times S.P$

                                        = $\sf \dfrac{100}{100 + 20 } \times 18000$

                                        = $\sf \dfrac{100}{120} \times 18000$

                                        = $\sf \dfrac{1800000}{120}$

                                        = Rs. 15000

Cost Price of 2nd Bullock = $\sf \dfrac{100}{100 - Loss\% } \times S.P$

                                           = $\sf \dfrac{100}{100 - 20 } \times 18000$

                                           = $\sf \dfrac{100}{80} \times 18000$

                                           = $\sf \dfrac{1800000}{80}$

                                           = Rs. 22500

Now,

Total Selling Price = Rs. 18000 + 18000

                               = Rs. 36000

Total Cost price = Rs. 15000 + 22500

                           = Rs. 37500

Since, C.P > S.P [Here, it is Loss]

Loss = C.P - S.P

       =  37500 - 36000

       = Rs. 1500

Loss% $\sf = \dfrac{Loss}{C.P} \times 100$

           $\sf = \dfrac{1500}{37500} \times 100$

           $\sf = \dfrac{150000}{37500}$

           $\sf = 4 \%$

Therefore, the Total Lossfor the two bullocks is 4%.