A salesman's commission is 5% on all sales up to Tk. 10, 000 and 4% of all sales exceeding this amount. He remits Tk. 31,100 to the percent company after deducting his commission. His sales were worth:
Solution
Correct Answer: Option A
মনেকরি, মোট বিক্রয় = x টাকা
∴ কমিশন = 10000 এর 5% + (x - 10000) এর 4%
= 10000 × 5/100 + (x - 10000) × 4/100
= (50000/100) + (4x - 40000)/100
= (50000 + 4x - 40000)/100
= (10000 + 4x)/100
= 100 + 4x/100
= 100 + x/25
প্রশ্নমতে, x - (100 + x/25) = 31100
⇒ x - 100 - x/25 = 31100
⇒ x - x/25 = 31100 + 100
⇒ (25x - x)/25 = 31200
⇒ 24x/25 = 31200
⇒ x = (31200 × 25)/24
⇒ x = 32500 টাকা
∴ কমিশন = 10000 এর 5% + (x - 10000) এর 4%
= 10000 × 5/100 + (x - 10000) × 4/100
= (50000/100) + (4x - 40000)/100
= (50000 + 4x - 40000)/100
= (10000 + 4x)/100
= 100 + 4x/100
= 100 + x/25
প্রশ্নমতে, x - (100 + x/25) = 31100
⇒ x - 100 - x/25 = 31100
⇒ x - x/25 = 31100 + 100
⇒ (25x - x)/25 = 31200
⇒ 24x/25 = 31200
⇒ x = (31200 × 25)/24
⇒ x = 32500 টাকা
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