Q80 of 113 Page 110

Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer

Let the amount received by Kiran be rupees x

Then the amount received by Salma will be 1000 more than


Kiran = x + 100


The amount received by Jenifer will be 500 more than


Kiran = x + 500


Given that total amount = 13500


⇒ x + x + 1000 + x + 500 = 13500


(adding all the amounts all three having and equating to the total amount)


⇒ 3x + 1500 = 13500


⇒ 3x = 13500-1500


⇒ 3x = 12000


⇒


⇒ x = 4000


∴The amount received by Jenifer = x + 500


= 4000 + 500


= 4500


∴The amount received by Salma = x + 1000


= 4000 + 1000


= 5000


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