did Arun purchase it?
34. Arun sold a watch to Sonu at a gain of 10% and Sonu solo lo
Anita at a gain of 4%. If Anita pays Rs 1430 for it, for how mua
Answers
Answer:
Let the price Arun purchased the watch for be x Rs.
Arun sold it at a gain of 10 % to Sonu, so he increased the price by 10 %.
Sonu's purchase = x + 10/100 * x
= x + x/10 Rs
= 10 x + x /10
= 11x/10
Sonu sold it at a gain of 4 % to Anita, so he increases the price by 4 %.
Anita's purchase = 11x/10 + 4/100*11x/10
= 11x/10 + 44x/1000
= 1100x + 44x / 1000
= 1144 x / 1000 Rs.
It is also given that Anita purchased the watch for 1430 Rs.
Therefore,
1430 = 1144 x/1000
1144 x = 1430*1000
x = 1430 * 1000 / 1144
= 715 * 1000 / 572
= 715 / 572 * 1000
= 1.25 * 1000
= 1250
x = price at which Arun bought the watch at
Therefore, Arun bought the watch at 1250 Rs.
HOPE IT HELPS ;)