Q 2386380277.     Refer to the following caselet and answer the questions.

There are some people who like different colours. 620 people like only blue colour. The number of people who like both black and red is 40% of the number of people who like only blue. The number of people who like only black is thrice the number of people who like both black and red. Thrice the number of people who like only black is 8 times the number of people who like both blue and red but not black. The number of people who like more than one colour is 30 more than the number of people who like only blue. The number of people who like both black and blue but not red is thrice the number of people who like all the three colours. The number of people who like only red is equal to the number of people who like blue along with some other colour.
How many people like exactly two colors?