P spends 16% of his income on rent, 18% on groceries, 12% on children’s education, and 45% of the remaining on other items. If he saves a sum of ₹ 13,365, then how much (in ₹) does he spend on groceries?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8,100.
Let income = ₹x
Total spent on Rent, Groceries, and Education = 46%
Remaining = 54% of x
45% of the remaining spent on other items = 45% of 54% of x = = 24.3% x
So, total spent = 46% + 24.3% = 70.3% of x
Savings = 100% − 70.3% = 29.7% of x
Now,
⇒ 29.7% of x = 13365
⇒ x = 45,000
Spend on groceries = 18% of ₹45,000 = 8,100