1.

Sita was a fruit seller who used to buy fruits from a whole seller and sell it in three days. The whole seller sold 15kg of fruits to Sita at 20% profit. Sita sold 5kg of fruits each day at 25% profit for two days. However on the third day, the remaining fruits had somewhat rotten. She sold it at 15% loss. The whole seller had bought the fruits from contractor for Rs. 4500. How much profit or loss did Sita make after selling all the fruits?1). Rs. 525 profit2). Rs. 630 profit3). Rs. 630 loss4). Rs. 525 loss

Answer»

$(CP\; = \;\frac{{SP}}{{1\; + \;profit\% }})$

Where, CP = cost price, SP = Selling Price

For whole seller:

CP = Rs. 4500

Profit = 20%

Using the above formula,

$(4500\; = \;\frac{{SP}}{{1\; + \;20\% }})$

⇒ 4500 (1 + 0.20) = SP

⇒ SP = 4500 × 1.20

∴ SP = Rs. 5400

For, Sita:

CP = Rs. 5400 for 15 KG. = 5400/15 = Rs. 360 per kg

In FIRST two days, she sold 5 kg each day i.e., she sold 10 kg.

For 10 kg, CP = Rs. 3600, profit = 25%

SP = CP (1 + profit %) = 3600(1 + 0.25) = Rs. 4500

Third day, she sold 5 kg at 15 % loss.

CP = Rs. (360 × 5) = Rs. 1800, loss = 15%

SP = CP (1 − loss %) = 1800(1 − 0.15) = Rs. 1530

Total SP = Rs. (4500 + 1530) = Rs. 6030

Total CP = Rs. 5400

∴ Total profit = Rs. 630


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