Bina sells an article to Shyam at a 19% loss
Bina sells an article to Shyam at a 19% loss for ₹4,860. Shyam then sells it to Hari for the price Bina would have needed to sell to make a 17% profit. What is Shyam’s profit?
बीना ने श्याम को एक वस्तु 19% की हानि पर ₹4,860 में बेची। फिर श्याम ने वही वस्तु हरि को उतनी कीमत पर बेची, जितनी कीमत बीना द्वारा उस वस्तु को 17% लाभ के साथ बेचने पर प्राप्त होती। श्याम का लाभ ज्ञात कीजिए।
Detailed Solution & Logic
₹2,160
Step 1: Find the cost price (CP) of Bina
At 19% loss, selling price = 81% of CP.
So,
$ 0.81 \times \text{CP} = 4860 $
$ \text{CP} = \frac{4860}{0.81} = 6000 $
Step 2: Price required for 17% profit
If Bina wanted a 17% profit, selling price would be:
$ \text{SP} = 6000 \times 1.17 = 7020 $
This becomes the price at which Shyam sells to Hari.
Step 3: Shyam’s profit
Shyam bought the article for ₹4860 and sold it for ₹7020.
Profit $= 7020 - 4860 = 2160$
Answer: ₹2,160
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