n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

SP of first article = 1000
Profit = 30%
CP = (SP)x[100/(100+P)] = 10000/13

SP of second article = 1000
Loss = 20%
CP = (SP)x[100/(100-L)] = 5000/4 = 1250

Total SP = 2000

Total CP = 10000/13 + 1250 = 2019.23

CP is more than SP, he makes a loss.

Loss = CP-SP = 2019.23 - 2000 = 19.23
Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

The number of exhaustive events = 100 C₁ = 100.

We have 25 primes from 1 to 100.

Number of favourable cases are 75.

Required probability = 75/50 = 3/2.

Madhya Pradesh has become the first Indian state to announce shifting of its financial year format to January-December starting from 2018, as against the current practice of April-March cycle. The decision has recently taken by the state government in its state cabinet meeting, which was chaired by Chief Minister Shivraj Singh Chouhan. Thus, the budget session of the next financial year would be held in December-January 2018.

The United Nations has marked the first World Tuna Day (WTD) on May 2, 2017 to conserve one of the globe’s most popular fish to be caught and eaten and to highlight the vital socio-economic importance of tuna to people around the world. Tuna plays a critical role in sustainable development, food security, economic opportunity, and livelihoods of people around the world. At present more than 80 States have tuna fisheries, thousands of tuna fishing vessels operate in all the oceans and tuna fishery capacity is still growing in the Indian and Pacific Oceans. The Day was designated in December 2016 resolution of the UN General Assembly.

Dubai has become the first city in the world to get its own Microsoft font.

ii. Sheikh Hamdan bin Mohammed bin Rashid Al Maktoum, Dubai's Crown Prince and Chairman of the Executive Council, launched the Dubai Font recently.

iii. The font, available in three styles as 'Dubai', 'Dubai Medium' and 'Dubai Light', can be in italics, underlined and bold.