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Rekha, Hema and Kajal bought the same washing machine at the same MRP from 3 different dealers. All the dealers offered 2 discounts and subsequent cash backs after discount. Rekha got discounts of 5 percent and cashback of 20 percent, Hema got 16 percent discount and cashback of 15 percent, Kajal got 15 percent discount and cashback of 12 percent. Find out who purchased the machine at maximum price? 

Rekha, Hema and Kajal bought the same washing machine at the same MRP from 3 different dealers. All the dealers offered 2 discounts and subsequent cash backs after discount. Rekha got discounts of 5 percent and cashback of 20 percent, Hema got 16 percent discount and cashback of 15 percent, Kajal got 15 percent discount and cashback of 12 percent. Find out who purchased the machine at maximum price?  Correct Answer Rekha

Let, the MRP of the washing machine be Rs. 100x

In case of Rekha,

Price after 1st discount = Rs. (100x – 100x × 5/100) = Rs. 95x

Price after 2nd discount = Rs. (95x – 95x × 20/100) = Rs. 76x

⇒ Price paid by Rekha = Rs. 76x

In case of Hema,

Price after 1st discount = Rs. (100x – 100x × 16/100) = Rs. 84x

Price after 2nd discount = Rs. (84x – 84x × 15/100) = Rs. 71.4x

⇒ Price paid by Hema = Rs. 71.4x

In case of Kajal,

Price after 1st discount = Rs. (100x – 100x × 15/100) = Rs. 85x

Price after 2nd discount = Rs. (85x – 85x × 12/100) = Rs. 74.8x

⇒ Price paid by Kajal = Rs. 74.8x

∴ Rekha purchased the machine at maximum price.

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