Davinder bought 2000 balls for Rs. 6000 and sold 200 of these at a gain of 5% .at what percent he must sell the remaining balls so as to gain 15% on the whole transaction
Answers
Answer:
50/3 %
Step-by-step explanation:
He must sell the remaining balls in 16.11% profit. ( approx )
Step-by-step explanation:
Given,
Total number of balls = 2000,
Cost price of all balls = rs 6000,
So, cost price of each ball =
= rs 3,
Now, if there is a gain of 5% in price of ball,
Then selling price = (100+5)% of 3 = 105% of 3 =
If 200 balls are sold in this price,
Then revenue = 200 × 3.15 = rs 630,
Now, suppose remaining 1800 balls are sold in the profit of x%,
That is, selling price of each ball = (100+x)% of 3
So, the revenue = 1800 × (100+x)% of 3,
Thus, total revenue = 630 + 1800 × (100+x)% of 3,
According to the question,
Total profit percentage = 15%,
⇒ Total revenue = 115% of 6000
⇒ 630 + 1800 × (100+x)% of 3 = 115% of 6000,
⇒ 630 + 18 × (100+x) × 3 = 115 ×60,
⇒ 630 + 54(100+x) = 6900,
⇒ 54(100+x) = 6270,
⇒ 100+x= 116.11,
⇒ x= 16.11,
Hence, he must sell the remaining balls in 16.11% profit.
#Learn more:
Manish Bought 1000 pencils for rs 3000 and sold 200 of these at a gain of 5%. at what gain percent he must sell the remaining pencil so as to gain 15% on the whole transaction?
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