Question

Radha bought roses at the rate of 14 for rs.180 and sold all of them at the rate of 16 for rs.220. In this transaction, she gained rs.50. How many roses did she buy? Select one:

Answer 1

Given:

Cost price of 14 flowers = Rs. 180

Therefore:

Cost price of 1 flower:

$\implies$ Rs.180/14

$\implies$ Rs. 90/7

Selling price of 16 flowers = Rs. 220

Therefore:

Selling price of 1 flower:

$\implies$ Rs. 220/16

$\implies$ Rs. 55/4

Now:

Gain on 1 flower:

$\implies$ Rs. 55/4 - Rs.90/7

$\implies$ Rs. (385 - 360)/28

$\implies$ Rs. 25/28

Hence:

Required number of flowers:

$\implies$ (28/25) × 50

$\implies$ 28 × 2

$\implies$ 56

Final answer: 56

Answer 2

Answer:

Let us take LCM of 14 and 16. : 112

Let us say she purchased 112 flowers at rate of 14 flowers for Rs 180.

She spent Rs 180 * 112/14 = Rs 1,440

She sold them at 16 for Rs 220.

She gained Rs 220 * 112/16 = Rs 1, 540

She earned profit = Rs 100 for 112 flowers.

If she earned Rs 100 from 112 flowers, she would earn Rs 50 from 56 flowers.

Therefore the answer is 56.

Hope it helps you....