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Option 5 : Quantity 1 = Quantity 2
Given:
Total amount = Rs. 10,000
Ratio = 7 : 7 : 6
Boy’s prize = 500 – girl’s prize
Calculation:
Total amount = Rs. 10,000
Quantity I:
Girl1 : Girl2 : Boy = 7 : 7 : 6
⇒ Boy’s share = (6 / 20) × 10,000
⇒ Boy’s share = 3,000
Quantity II:
Let prize earn by boy is X
⇒ prize earn by girl = X + 500
⇒ 10,000 = X + (X + 500) + (X + 500)
⇒ 10,000 = 3X + 1000
⇒ 9,000 = 3X
⇒ X = 3,000
∴ Quantity I = Quantity II
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