Let us assume the initial stock of all the fruits is S. Let us take we have ' b ' and 'a' mangoes initially. Stock of Mangoes =40% of S=2S∕5 The total number of fruits sold are Mangoes Sold + Apples Sold + Bananas Sold ‌=2S/10+96+4a/10=S/2 (Given) ‌⇒S/5+96+2a/5=S/2 ‌⇒S=‌
(4a+960)
3
‌⇒‌
4a
3
+320 'a' has to be a multiple of 3 for the above term to be an integer. But 'a' has to be a multiple of 5 for 4a/10 to be an integer. ⇒ The smallest value of 'a' satisfying both conditions is 15 . ⇒‌