A fruit vendor sells his fruits at 21% profit. If he had bought it for

1.	A fruit vendor sells his fruits at 21% profit. If he had bought it for 9% less and sold it for Rs. 29 less, he would have gained 25%. The cost price of fruit is:1). Rs. 3602). Rs. 3203). Rs. 4004). Rs. 480
Answer» Let the cost price of fruit be Rs. X. ∴ Sell Price = Rs. 1.21x If he had bought it at 9% LESS price, Cost Price = 0.91x If he would have sold at Rs. 29 less, Sell Price = Rs. (1.21x − 29) Profit = Sell Price − Cost Price = Rs. (0.3x − 29) $({\rm{Profit\% \;}} = {\rm{\;}}\frac{{Profit}}{{Cost\;Price}}\; \times \;100)$ ⇒ $(25{\rm{\;}} = {\rm{\;}}\frac{{0.3x\; - \;29}}{{0.91x}}\; \times \;100)$ ⇒ 0.25 × 0.91x = 0.3x - 29 ⇒ 0.3x − 0.2275x = 29 ∴ x = 400 The cost price of fruit is Rs. 400.

A fruit vendor sells his fruits at 21% profit. If he had bought it for 9% less and sold it for Rs. 29 less, he would have gained 25%. The cost price of fruit is:1). Rs. 3602). Rs. 3203). Rs. 4004). Rs. 480

Answer»

Let the cost price of fruit be Rs. X.

∴ Sell Price = Rs. 1.21x

If he had bought it at 9% LESS price, Cost Price = 0.91x

If he would have sold at Rs. 29 less, Sell Price = Rs. (1.21x − 29)

Profit = Sell Price − Cost Price = Rs. (0.3x − 29)

$({\rm{Profit\% \;}} = {\rm{\;}}\frac{{Profit}}{{Cost\;Price}}\; \times \;100)$

⇒ $(25{\rm{\;}} = {\rm{\;}}\frac{{0.3x\; - \;29}}{{0.91x}}\; \times \;100)$

⇒ 0.25 × 0.91x = 0.3x - 29

⇒ 0.3x − 0.2275x = 29

∴ x = 400

The cost price of fruit is Rs. 400.

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A fruit vendor sells his fruits at 21% profit. If he had bought it for 9% less and sold it for Rs. 29 less, he would have gained 25%. The cost price of fruit is:1). Rs. 3602). Rs. 3203). Rs. 4004). Rs. 480

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