89. A fruit vendor brought a bag full of mangoes to the market. He kept some of the mangoes into the basket and put them for sale. He sold one-third of the mangoes in the basket to Mr. A and adds 18 more to
It. He sold three-fourth of the remaining mangoes in the basket to Mr. 8, and adds 12 more to it, after which he left with 25 mangoes in his basket. How many mangoes did the fruit vendor take in his basket in
the beginning?
(a) 42
(b) 46
(c) 49
(d) 51
(e) 58
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Step-by-step explanation:
let the mangoes in the basket = x
he sold mangoes in his first attempt = ⅓x
AFTER SELLING HE ADD 18 MANGOES IN THE BASKET.
basket = (x-⅓x) +18
condition two
HE sold three by fourth of mango
that is ¾(3x-x/3+18)
¾(2/3x+28)
¼(2x/3+54/3)
mangoes left in the basket after adding 12 to it
after selling mangoes twice he left with 25 mangoes
(x+28+22) -( ⅓x+ 2x+54/4)
x+30 = 4x + (2x +54) = 25
12x+360-4x-6x-162 = 25
2x+198/12 =25
2x+198 =25×12
2x = 102/2
x = 51
therefore total number of mangoes he have earlier is 51 .
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