Question

Karan spent half of his pocket money in buying a pair of shoes. He spent half the remaining for a book. He also spent half the remaining to buy a study table. He was left with ₹350. With how much money he started his shopping ?


Right answer or I'll report.
IMO Class 6
Who knows the answer only they will answer..
Wanted answer with full explanation.....​

Answer 1

Answer:

Find the fraction of his money given to his sister:

1 - 1/2 - 1/3 = 1/6

Find the amount of pocket money:

1/6 of his pocket money = Rs 5

6/6 of his pocket money = 5 x 6 = Rs 30

Find the amount he spent on lunch:

1/2 x 30 = Rs 15

Answer: (a) Rohan had Rs 30 (b) He spent Rs 15 on lunch.

Answer 2

Answer:

Karan started is shopping with ₹2,800

Step-by-step explanation:

Let's assume that Karan started his shopping with ₹x.

He bought a pair of shoes for ₹$\frac{1}{2} x$

After this purchase, he is left with ₹$(x - \frac{x}{2})$ = ₹$\frac{1}{2} x$

He spent half the remaining for a book.

Therefore, he purchased a book for ₹$\frac{1}{2}. \frac{1}{2} x =$ ₹$\frac{x}{4}$

After the purchase of a book, he is left with ₹$(\frac{x}{2} - \frac{x}{4} )$ = ₹$\frac{x}{4}$

He spent half the remaining to buy a study table.

Therefore, he purchased a study table for ₹$\frac{1}{2}. \frac{x}{4} =$ ₹$\frac{x}{8}$

After the purchase of a study table, he was left with ₹$(\frac{x}{4} - \frac{x}{8} )$ = ₹$\frac{x}{8}$

According to the problem:

$\frac{x}{8} = 350$

∴ x = 8 times 350 = 2,800

∴ Karan started is shopping with ₹2,800