Issue of equity

Hi sir,
Im sorry for the long question. There are 4 questions basically. Unfortunately the answers have no explanation .Can you please solve them for me?
This data relates to question 1-4

A company is investing $70m in a new project and will be funding part of the investment by debt
and the remainder by equity through a rights issue. The current share price is $4 and the market
capitalisation is $200m. The rights issue price will be at a discount of 20% to the current share
price. The rights issue will be on a 1 for 5 basis

Issue costs are expected to be $2m. Current equity gearing (debt/equity) is 40%

Q1 How many new shares will be issued?

A 5 million

B 10 million

C 50 million

D 60 million

Q2 How much gross funding is raised by the rights issue?

A $16m

B $20m

C $32m

D $40m

Q3 What is the theoretical ex rights price?

A $3.87

B $4.00

C $4.64

D $5.00

Q4 What is the revised equity gearing of the company?

A 40.0%

B 42.9%

C 40.7%

D 41.5%