Read the information given in the table carefully and answer the question that follows:

NUMBER OF CALCULATORS SOLD BY SHOPS P, Q, R, & S IN JUNE, JULY AND AUGUST

STATIONERY SHOP	JUNE	JULY	AUGUST
P	112	100	130
Q	100	88	124
R	110	80	46
S	96	94	86

(A) The difference between the total number of calculators sold by shops P and Q together in August and the number of calculators sold by shops R and S together in June is 42

(B) The average number of calculators sold by Shop S in the three months is 92

(C) The respective ratio between the total number of calculators sold by shops P and Q in July and the total number of calculators sold by shop Q in August is 45 : 31

Choose the correct answer from the options given below:

Checking statement (A): The difference between the total number of calculators sold by shops P and Q together in August and the number of calculators sold by shops R and S together in June is 42.

Total calculators sold by P and Q in August:

P in August $= 130$

Q in August $= 124$

Total $= 130 + 124 = 254$

Total calculators sold by R and S in June:

R in June $= 110$

S in June $= 96$

Total $= 110 + 96 = 206$

Difference $= 254 - 206 = 48$

Statement (A) is FALSE. The actual difference is 48, not 42.

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Checking statement (B): The average number of calculators sold by Shop S in the three months is 92.

Total sales for Shop S:

June $= 96$

July $= 94$

August $= 86$

Total $= 96 + 94 + 86 = 276$

Average $= \dfrac{276}{3} = 92$

Statement (B) is TRUE.

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Checking statement (C): The respective ratio between the total number of calculators sold by shops P and Q in July and the total number of calculators sold by shop Q in August is 45 : 31.

Total calculators sold by P and Q in July:

P in July $= 100$

Q in July $= 88$

Total $= 100 + 88 = 188$

Calculators sold by Q in August $= 124$

Ratio $= 188 : 124$

$= \dfrac{188}{4} : \dfrac{124}{4}$

$= 47 : 31$

Statement (C) is FALSE. The actual ratio is 47:31, not 45:31.

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Only statement (B) is correct.