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Out of the total number of pens sold by shop F, 40% of the pens are fountain pens. If the ratio of the number of fountain pen sold by shop D to shop F is 3 тИ╢ 4, then find the total number of pens sold by shop F.
480
560
600
720
None of the above
600
Use the ratio 3:4 to find F's fountain pens directly (450/3 * 4 = 600) then divide by 0.40 or multiply by 2.5: 600 / 0.4 = 1500? Wait, reread: 600 is the fountain pens for F. Then 0.40 * Total = 600.
Fountain pens sold by shop D = 450 (from graph), ratio of fountain pens D:F = 3:4, shop F fountain pens are 40% of its total sales.
Total┬аSalesFтАЛ=Percentage┬аof┬аFountain┬аPensFтАЛFountain┬аPensFтАЛтАЛ
Use the ratio 3:4 to find F's fountain pens directly (450/3 * 4 = 600) then divide by 0.40 or multiply by 2.5: 600 / 0.4 = 1500? Wait, reread: 600 is the fountain pens for F. Then 0.40 * Total = 600.
Confusing the number of fountain pens sold by shop F with the total number of pens sold by shop F.
Identify fountain pens sold by shop D
From the provided line graph, locate shop D on the X-axis and identify the value for the triangle symbol (fountain pens). The value is 450.
Fountain┬аPensDтАЛ=450
Calculate fountain pens sold by shop F
Given the ratio of fountain pens of shop D to shop F is 3:4, we set up the proportion: Fountain┬аPensFтАЛ450тАЛ=43тАЛ. Solving for F: Fountain┬аPensFтАЛ=3450├Ч4тАЛ=600.
Fountain┬аPensFтАЛ=600
Calculate total pens sold by shop F
It is stated that 40% of the total pens sold by shop F are fountain pens. Let T be the total sales: 0.40├ЧT=600. Thus, T=0.4600тАЛ=1500. Wait, checking calculation: 600/0.4=1500. Let's re-verify the graph values. The graph shows D fountain pens = 450? Actually, looking at the graph, the triangle for D is at 450. 450/3=150. 150тИЧ4=600. Then 600/0.4=1500.
T=0.4600тАЛ=1500
E is correct because the calculated total number of pens sold by shop F is 1500, which is not listed in options A through D.
Always verify if the calculated result is a subset or the total requested by the question. Many DI questions ask for components when the total is known, or vice versa.