alka bought an article and spent 100 rupees on its repair. she then sold it to Tina at a profit of 20 per cent. After some Time she sold it back to Alka at a loss of 20 per cent . If Alka gains 240 rupees what is the amount for which Alka had bought the article
Answers
Answer:
The Correct Answer will be 5900/-
Step-by-step explanation:
Suppose that the original cost of the article Alka had bought is…x
She spend 100 for its repair so the new price is…
New price = X+100
Alka sold it to Tina at the profit of 20%
Then the price of Tina is…
(x+100) + (x+100) × 20/100
= 6(x+100)/5
Tina again sold it back to Alka at the loss of 20%
Then the new price for Alka is…
[6(x+100)/5] – [6(x+100)/5] × 20/100
= (x+100) × 6/5 × 4/5
New profit for Alka is Original Cost – Selling Price = 240
(x+100) – (x+100) × 6/5 × 4/5 = 240
(x+100) × 1/5 × 1/5 = 240
(x+100) × 0.25 = 240
(x+100) = 240 × 25 = 6000
x+100 = 6000
x = 6000 – 100
x = 5900
So the original cost of the article Alka had bought is 5900/-
Answer:
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Step-by-step explanation:
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