UGC NET Paper 1 GA 20 Nov 2021 Shift 2 Solved Paper

Question : 29 of 50

Marks: +1, -0

The average monthly income of P and Q is Rs. 5,050/-. The average monthly income of Q and R is Rs. 6,250/- and that of P and R is Rs. 5,200. What will be the monthly income of P?

Rs. 3,000/-
Rs. 3,500/-
Rs. 4,000/-
Rs. 4,500/-

Validate

Solution:

The total monthly income of

{P}

and

{Q}

⇒ {P}+ {Q}=\;\text " Rs. "\; 5,050 × 2=\;\text " Rs. "\; 10,100 \;\; ⋯(1)

The total monthly income of

{Q}

and

{R}

⇒ {Q}+ {R}=\;\text " Rs. "\; 6,250 × 2=\;\text " Rs. "\; 12,500 \;\; . . . \;\text " (ii) "\;

The total monthly income of

{P}

and

{R}

⇒ {P}+ {R}=\;\text " Rs. "\; 5,200 × 2=\;\text " Rs. "\; 10,400 \;\; ⋯ \;\text " (iii) "\;

Adding equation (i), (ii) and (iii) we get,

⇒ 2( {P}+ {Q}+ {R})=10,100+12,500+10,400=33,000

⇒ {P}+ {Q}+ {R}=33,000 \/ 2=\;\text " Rs. "\; 16,500

The monthly income of

{P}=( {P}+ {Q}+ {R})-( {Q}+ {R})

⇒ 16,500-12,500=\;\text " Rs. "\; 4,000

∴

The monthly income of

P

is Rs. 4,000 .

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