Subject
Quantitative Aptitude
Topic
Profit & Loss
A sold a machine to B at 20% profit. B sold it C at 15% loss. What be A’s loss or gain % if he had sold it to C at the price at which C bought it from B?
A sold a machine to B at 20% profit. B sold it C at 15% loss. What be A’s loss or gain % if he had sold it to C at the price at which C bought it from B?
ক)
Gain of 2%খ)
Loss of 2%গ)
Gain of 5%ঘ)
Gain of 1%ঙ)
Loss of 1%Explanation
Let’s assume that the price at which A bought the machine is Rs. 100. ∴ Cost price for A = Rs. 100 Now, when A sold it to B, the gain% was 20. ∴ Selling price = Cost price + (Gain% × Cost price) ⇒ Selling price for A= 100 + (20% × 100) = 100 + 20 = Rs. 120 ∴ Cost price for B = Rs. 120 Now, B sold it at a loss of 15% to C ∴ Selling price = Cost price – (loss% × Cost price) ⇒ Selling price for B= 120 – (15% × 120) = 120 – (15/100) × 120 ⇒ Selling price = 120 – 18 = Rs. 102 ∴ Cost price for C = Rs. 102 Now, if A cells the machine to C at the price at which C bought it from B, Selling price for A= Rs. 102 ∴ Gain% ⇒ A would have incurred 2% gain, had he sold the machine to C, at the price at which C bought it from B.Related questions
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